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    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    !                                                                              |
    !              ||===\\                                                         | 
    !              ||    \\                                                        |
    !              ||     ||   //==\\   ||  ||   //==||  ||/==\\                   |
    !              ||     ||  ||    ||  ||  ||  ||   ||  ||    ||                  |
    !              ||    //   ||    ||  ||  ||  ||   ||  ||                        |
    !              ||===//     \\==//    \\==\\  \\==\\  ||                        |
    !                                                                              |
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    
    program DOUAR
    
    use threads
    use definitions
    
    implicit none
    
    INCLUDE 'mpif.h'
    
    integer i,j,is,iter,istep,niter,nedge,nedgen 
    integer ntriangle,ndof,ndoft,material0,nsurfacen
    integer numarg,iargc
    integer ierr,nproc,iproc,k,nrem
    integer current_level
    integer ie_ov,ie_loc,ie_level,iter_nl
    integer err,iunit,cltemp
    integer nremove, ninject,nnmax,nadd,naddp,ref_count
    integer nleaves_new_mem1
    integer nleaves_new_mem2
    integer nleaves_old_mem1
    integer nleaves_old_mem2
    integer, external :: ioctree_number_of_elements
    
    double precision x,y,z,z0,u,v,w
    double precision exx,eyy,ezz,exy,eyz,ezx,e2dmax
    double precision duvw,uvw,dtcourant,current_time
    double precision umax,xxx,yyy,zzz,x0_leaf,y0_leaf,z0_leaf
    double precision total,step,inc
    real  time1,time2,time3 
          
    character     :: ic*7
    character*3   :: ciproc
    character*4   :: cs,cs2
    character*40  :: string
    character*72  :: shift
    
    logical converge,increase_current_level,velocity_converged,usecourant
    
    type (sheet),dimension(:),allocatable::surface,surface0
    type (octreev) ov
    type (octreelsf) olsf
    type (octreesolve) osolve
    type (material),dimension(:),allocatable::mat
    type (void) vo
    type (cloud) cl
    type (topology),dimension(:),allocatable::tpl
    type (box),dimension(:),allocatable::boxes
    type (cross_section),dimension(:),allocatable::sections
    type (face),dimension(6) :: cube_faces
    type (edge),dimension(:),allocatable::ed,edswap
    type (parameters) params
    type (thread) threadinfo
    
    integer n_iproc_st,n_iproc_end,n_iproc
    integer ldb,nrhs,n,nz_loc
    integer, dimension(:), allocatable :: ia,ja
    logical, dimension(:), allocatable :: iproc_col
    double precision, dimension(:), allocatable :: avals
    double precision, dimension(:,:), allocatable :: b
    double precision, dimension(:), allocatable :: weightel
    
    shift=' '
    
    ndof=3
    ndoft=1
    params%mpe=8
    nrhs = 1
    
    nleaves_old_mem1=0
    nleaves_old_mem2=0
    
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    
    call mpi_init(ierr)
    call mpi_comm_size (mpi_comm_world,nproc,ierr)
    call mpi_comm_rank (mpi_comm_world,iproc,ierr)
    
    call write_streepjes(6,2)
    
    
    !=====[allocate threadinfo and open mpi log and memory heap files]=========
    
    params%nmpi=nproc
    
    call int_to_char(ciproc,3,iproc)
    
    threadinfo%Logunit=1000+iproc
    open  (unit=threadinfo%Logunit,file='./DEBUG/mpilogs/Log_'//ciproc//'.dat',status='replace')
    write(threadinfo%Logunit,'(a,i3)') 'Log file of mpi process',iproc
    
    call heap_init(threadinfo,2000+iproc,'./DEBUG/mpilogs/mem_heap_'//ciproc//'.dat')
    
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    !     is there any input file to douar ?
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    
    numarg=iargc()
    
    if (numarg==0) then
       params%infile='input.txt'
       if (iproc.eq.0) write(*,*) 'program called with no argument'
    else
       call getarg (1,params%infile)
       if (iproc.eq.0) then
          write(*,*) 'program called with input file ',params%infile
       end if
    end if
    
    call write_streepjes(6,2)
    
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    !     read controlling parameters
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    call read_controlling_parameters (params,threadinfo)
    
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    !     open and prepare output files
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
     call io_DoRuRe2 (params,'init')
    
    call show_time (total,step,inc,0,'Start of Computations$')
    call show_time (total,step,inc,1,'Reading Input$')
    
    allocate (surface         (  params%ns  ),stat=err)    ; if (err.ne.0) call stop_run ('Error alloc surface in main$')
    allocate (surface0        (  params%ns  ),stat=err)   ; if (err.ne.0) call stop_run ('Error alloc surface0 in main$')
    allocate (mat             (0:params%nmat),stat=err)    ; if (err.ne.0) call stop_run ('Error alloc mat in main$')
    allocate (params%materialn(0:params%ns  ),stat=err); if (err.ne.0) call stop_run ('Error alloc materialn in main$')
          
    if (params%nboxes.gt.0) then
        allocate (boxes(params%nboxes),stat=err) ; if (err.ne.0) call stop_run ('Error alloc boxes arrays$')
    else
        allocate (boxes(1),stat=err) ! necessary to avoid nil size argument
    endif
    if (params%nsections.gt.0) then
        allocate (sections(params%nsections),stat=err) ; if (err.ne.0) call stop_run ('Error alloc cross_section arrays$')
    else
        allocate (sections(1),stat=err) ! necessary to avoid nil size argument
    end if
    
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    !     read input file for all parameters of the run
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    call read_input_file (params,threadinfo,material0,mat,surface,boxes,sections,cube_faces) 
    
    if (params%irestart==0) then
       current_level=params%initial_refine_level
    else
       current_level=params%levelmax_oct
    end if
     
    call show_time (total,step,inc,1,'Problem Setup$')
    
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    !     either reads or creates the surface(s)
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    call show_time (total,step,inc,1,'define surfaces$')
    call define_surface(params,surface,threadinfo,total,step,inc,current_time)
    
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    !     either reads or creates the cloud  
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    call show_time (total,step,inc,1,'define cloud$')
    call  define_cloud(cl,params)
    
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    !     extract material information to be passed to solver
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    params%materialn(0)=material0
    do i=1,params%ns
       params%materialn(i)=surface(i)%material
    enddo
    
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    !    compute plastic parameters 
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    call compute_plastic_params (params,mat)
    
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    !     either reads or creates the velocity octree
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    call show_time (total,step,inc,1,'define velocity octree$')
    call define_ov (ov,params,threadinfo)
    
    istep=1+params%irestart 
    
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    !     is the CFL condition used for the timestep ?
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    
    usecourant = (params%dt .lt. 0.d0)
    
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    !     beginning of time stepping
    !------------------------------------------------------------------------------|
    !------------------------------------------------------------------------------|
    do while (istep.le.params%nstep) 
       
       call write_streepjes(6,2)
       call write_streepjes(8,2)
       call show_time (total,step,inc,-istep,'Start of Step $')
       if (iproc.eq.0)  write(8,*)  'Doing step ',istep
       call write_streepjes(6,2)
       call write_streepjes(8,2)
       call heap_hop1(threadinfo,istep)
    
       !---------------------------------------------------------------------------|
       !---------------------------------------------------------------------------|
       !     refining surfaces
       !---------------------------------------------------------------------------|
       !---------------------------------------------------------------------------|
       
       call show_time (total,step,inc,1,'Loop over surfaces$')
       
       do is=1,params%ns
          call int_to_char(ic,2,is)
          call show_time (total,step,inc,1,'surface '//ic(1:2)//'$')
    
          if (iproc.eq.0 ) then
             write (8,*) 'Surface ',is,' has ',surface(is)%nsurface,'particles before refinement'
             if (params%debug>=1) write(*,'(a,i2,a,i8,a)') shift//'S.',is,': ',surface(is)%nsurface,'points'
          end if
    
          if (surface(is)%activation_time.ge.current_time+tiny(current_time)) then
             !------------------------------------------------------------------------!
             ! if surface is slave to top surface, no refinement
             !------------------------------------------------------------------------!
             deallocate(surface(is)%x,surface(is)%y,surface(is)%z)
             deallocate(surface(is)%xn,surface(is)%yn,surface(is)%zn)
             deallocate(surface(is)%r,surface(is)%s)
             deallocate(surface(is)%icon)
             surface(is)%nsurface=surface(1)%nsurface
             surface(is)%nt=surface(1)%nt
             allocate (surface(is)%x(surface(is)%nsurface),surface(is)%y(surface(is)%nsurface),surface(is)%z(surface(is)%nsurface))
             allocate (surface(is)%xn(surface(is)%nsurface),surface(is)%yn(surface(is)%nsurface),surface(is)%zn(surface(is)%nsurface))
             allocate (surface(is)%r(surface(is)%nsurface),surface(is)%s(surface(is)%nsurface))
             allocate (surface(is)%icon(3,surface(is)%nt))
             surface(is)%x=surface(1)%x
             surface(is)%y=surface(1)%y
             surface(is)%z=surface(1)%z
             surface(is)%xn=surface(1)%xn
             surface(is)%yn=surface(1)%yn
             surface(is)%zn=surface(1)%zn
             surface(is)%r=surface(1)%r
             surface(is)%s=surface(1)%s
             surface(is)%icon=surface(1)%icon(:,1:surface(is)%nt)
          else
             !------------------------------------------------------------------------!
             ! if surface is no slave to top surface, do refine
             !------------------------------------------------------------------------!
             ref_count=1   
             nadd=1
             do while (nadd>0)
                call show_time (total,step,inc,1,'refine surface$')
                call refine_surface(params,surface(is),threadinfo,nadd,is,istep,ref_count) 
                call show_time (total,step,inc,1,'check delaunay$')
                call check_delaunay (params,surface(is),is,istep,'delaunay_after_refine',ref_count)
                call DoRuRe_surf_stats (params%doDoRuRe,istep,ref_count,is,surface(is)%nt,surface(is)%nsurface,nedge,nadd)
                ref_count=ref_count+1
             end do
          endif
    
          if (iproc.eq.0 ) then
             write (8,*) 'Surface ',is,' has ',surface(is)%nsurface,'particles after refinement'
             if (params%debug>=1) write(*,'(a,i2,a,i8,a)') shift//'S.',is,': ',surface(is)%nsurface,'points'
          end if
    
       end do
    
       !---------------------------------------------------------------------------|
       !---------------------------------------------------------------------------|
       !     Stores the geometry of the surfaces for the mid-point iterative scheme
       !---------------------------------------------------------------------------|
       !---------------------------------------------------------------------------|
       do is=1,params%ns
          surface0(is)%nsurface=surface(is)%nsurface
          allocate (surface0(is)%r(surface0(is)%nsurface),stat=threadinfo%err)       ; call heap (threadinfo,'surface0(is)%r','main',size(surface0(is)%r),'dp',+1)
          allocate (surface0(is)%s(surface0(is)%nsurface),stat=threadinfo%err)       ; call heap (threadinfo,'surface0(is)%s','main',size(surface0(is)%s),'dp',+1)
          allocate (surface0(is)%x(surface0(is)%nsurface),stat=threadinfo%err)       ; call heap (threadinfo,'surface0(is)%x','main',size(surface0(is)%x),'dp',+1)
          allocate (surface0(is)%y(surface0(is)%nsurface),stat=threadinfo%err)       ; call heap (threadinfo,'surface0(is)%y','main',size(surface0(is)%y),'dp',+1)
          allocate (surface0(is)%z(surface0(is)%nsurface),stat=threadinfo%err)       ; call heap (threadinfo,'surface0(is)%z','main',size(surface0(is)%z),'dp',+1)
          allocate (surface0(is)%xn(surface0(is)%nsurface),stat=threadinfo%err)      ; call heap (threadinfo,'surface0(is)%xn','main',size(surface0(is)%xn),'dp',+1)
          allocate (surface0(is)%yn(surface0(is)%nsurface),stat=threadinfo%err)      ; call heap (threadinfo,'surface0(is)%yn','main',size(surface0(is)%yn),'dp',+1)
          allocate (surface0(is)%zn(surface0(is)%nsurface),stat=threadinfo%err)      ; call heap (threadinfo,'surface0(is)%zn','main',size(surface0(is)%zn),'dp',+1)
          surface0(is)%r=surface(is)%r
          surface0(is)%s=surface(is)%s
          surface0(is)%x=surface(is)%x
          surface0(is)%y=surface(is)%y
          surface0(is)%z=surface(is)%z
          surface0(is)%xn=surface(is)%xn
          surface0(is)%yn=surface(is)%yn
          surface0(is)%zn=surface(is)%zn
       enddo
    
       !---------------------------------------------------------------------------|
       !---------------------------------------------------------------------------|
       !     beginning of grid iterations
       !---------------------------------------------------------------------------|
       !---------------------------------------------------------------------------|
    
       iter =1
    
       do while (iter.le.abs(params%griditer).or.iter.eq.1)
    
          call write_streepjes(6,1)
          call write_streepjes(8,1)
          call show_time (total,step,inc,-iter,' Start of iteration $')
          if(iproc.eq.0) write(8,*)  'Doing iteration ',iter
          call write_streepjes(6,1)
          call write_streepjes(8,1)
          call heap_hop2(threadinfo,iter)
          call show_time (total,step,inc,1,'Create octree solve$')
    
          converge=.false.
    !      if (params%griditer .lt. 0 .and. current_level==params%levelmax_oct) converge=.true.
    
          if (iproc.eq.0 .and. params%debug>=1) then
             write(*,'(a,L)') shift//'(1) params%griditer < 0               ',(params%griditer.lt.0) 
             write(*,'(a,L)') shift//'(2) current_level==params%levelmax_oct',(current_level==params%levelmax_oct) 
             write(*,'(a,L)') shift//'(3) increase_current_level            ',increase_current_level
             write(*,'(a,L)') shift//'converge = (1) & (2) & (3) -> ',(params%griditer .lt. 0 .and. current_level==params%levelmax_oct .and. increase_current_level) 
          end if
    
    
          if (params%griditer .lt. 0 .and. current_level==params%levelmax_oct .and. increase_current_level) converge=.true.
          if (iproc.eq.0 .and. converge .and. params%debug>=1) then
             write(*,'(a)') shift//'+++++++++++++++++'
             write(*,'(a)') shift//'grid conv reached'
             write(*,'(a)') shift//'+++++++++++++++++'
          end if
    
    
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          !     creation of osolve
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          ! we create the large "solve" octree, ie the octree on which the finite 
          ! elements will be built.
    
          osolve%noctree=params%noctreemax
    
          allocate (osolve%octree(osolve%noctree),stat=threadinfo%err)      ; call heap (threadinfo,'osolve%octree','main',size(osolve%octree),'int',+1)
    
          call octree_init (osolve%octree,osolve%noctree)
          call octree_create_uniform (osolve%octree,osolve%noctree,params%leveluniform_oct)
    
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          !     refinement/improvement of osolve
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          call  improve_osolve (osolve,ov,params,threadinfo,istep,iter,total,step,inc, &
                                current_level,boxes,cube_faces,increase_current_level )
    
          nleaves_new_mem1=osolve%octree(2)
    
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          !     find connectivity for osolve 
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          call show_time (total,step,inc,1,'Build osolve icon$')
          
          osolve%nleaves = ioctree_number_of_elements (osolve%octree,osolve%noctree)
          osolve%nnode   = osolve%nleaves*3
          osolve%nlsf    = params%ns
    
          if (iproc.eq.0) write (8,*) osolve%nleaves,' leaves in solve octree '
    
          allocate (osolve%icon(8,osolve%nleaves),stat=threadinfo%err)        ; call heap (threadinfo,'osolve%icon','main',size(osolve%icon),'int',+1)
          allocate (osolve%x(osolve%nnode),stat=threadinfo%err)               ; call heap (threadinfo,'osolve%x',   'main',size(osolve%x),'dp',+1)
          allocate (osolve%y(osolve%nnode),stat=threadinfo%err)               ; call heap (threadinfo,'osolve%y',   'main',size(osolve%y),'dp',+1)
          allocate (osolve%z(osolve%nnode),stat=threadinfo%err)               ; call heap (threadinfo,'osolve%z',   'main',size(osolve%z),'dp',+1)
          allocate (osolve%lsf(osolve%nnode,osolve%nlsf),stat=threadinfo%err) ; call heap (threadinfo,'osolve%lsf', 'main',size(osolve%lsf),'dp',+1)
          osolve%lsf=0.d0
    
          call octree_find_node_connectivity (osolve%octree,osolve%noctree, &
                                              osolve%icon,osolve%nleaves,osolve%x,osolve%y,osolve%z,osolve%nnode)
    
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          !     imbed the surfaces in osolve
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          call show_time (total,step,inc,1,'Imbed surface in osolve$')
          do is=1,params%ns
             write (ic(1:2),'(i2)') is
             call show_time (total,step,inc,1,'embedding surface '//ic(1:2)//'$')
             call embed_surface_in_octree (osolve,params,surface(is),is,istep,iter,threadinfo)
          enddo
    
          nleaves_new_mem2=osolve%octree(2)
     
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          !     assess grid convergence 
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          call show_time (total,step,inc,1,'Assessing octree stability$')
    
          increase_current_level=  (nleaves_old_mem2 .ge. nleaves_new_mem2 .and.  & 
                                   (dble(nleaves_old_mem2-nleaves_new_mem2)) / (dble(nleaves_old_mem2+nleaves_new_mem2))*2.d0 &
                                   .lt. params%octree_refine_ratio )
    
    !      increase_current_level=  ((dble(nleaves_old_mem2-nleaves_new_mem2)) / (dble(nleaves_old_mem2+nleaves_new_mem2))*2.d0 &
    !                               .lt. params%octree_refine_ratio )
     
          if(iproc.eq.0 .and. params%debug>=1) then 
          write(*,'(a,i5,a)') shift//'current refine level ',current_level
          write(*,'(a)')      shift//'After criterion based refinement:'
          write(*,'(a,i8,a)') shift//'nleaves_old= ',nleaves_old_mem1,' leaves'
          write(*,'(a,i8,a)') shift//'nleaves_new= ',nleaves_new_mem1,' leaves'
          write(*,'(a)')      shift//'After surfaces embedding:'
          write(*,'(a,i8,a)') shift//'nleaves_old= ',nleaves_old_mem2,' leaves'
          write(*,'(a,i8,a)') shift//'nleaves_new= ',nleaves_new_mem2,' leaves'
          write(*,'(a,l)')    shift//'C2: authorise increase of refine level = ',increase_current_level
          end if
    
          nleaves_old_mem1=nleaves_new_mem1
          nleaves_old_mem2=nleaves_new_mem2
    
    
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          !     allocate fields of osolve 
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          allocate (osolve%u(osolve%nnode),stat=threadinfo%err)             ; call heap (threadinfo,'osolve%u','main',size(osolve%u),'dp',+1)
          allocate (osolve%v(osolve%nnode),stat=threadinfo%err)             ; call heap (threadinfo,'osolve%v','main',size(osolve%v),'dp',+1)
          allocate (osolve%w(osolve%nnode),stat=threadinfo%err)             ; call heap (threadinfo,'osolve%w','main',size(osolve%w),'dp',+1)
          allocate (osolve%temp(osolve%nnode),stat=threadinfo%err)          ; call heap (threadinfo,'osolve%temp','main',size(osolve%temp),'dp',+1)
          allocate (osolve%pressure(osolve%nleaves),stat=threadinfo%err)    ; call heap (threadinfo,'osolve%pressure','main',size(osolve%pressure),'dp',+1)
          allocate (osolve%spressure(osolve%nleaves),stat=threadinfo%err)   ; call heap (threadinfo,'osolve%spressure','main',size(osolve%spressure),'dp',+1)
          allocate (osolve%strain(osolve%nnode),stat=threadinfo%err)        ; call heap (threadinfo,'osolve%strain','main',size(osolve%strain),'dp',+1)
          osolve%u               = 0.d0
          osolve%v               = 0.d0
          osolve%w               = 0.d0
          osolve%temp            = 0.d0
          osolve%pressure        = 0.d0
          osolve%spressure       = 0.d0
          osolve%strain          = 0.d0
    
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          !     improve and update cloud fields 
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          call show_time (total,step,inc,1,'Change 3D cloud$')
          call update_cloud_structure (cl,osolve,params,ninject,nremove,istep)
    
    !      if (istep==1) call strain_history (params,osolve,cl)
    !      call strain_history (params,osolve,cl)
    
          call DoRuRe_cloud_stats (params%doDoRuRe,istep,iter,cl%np,nremove,ninject,cl%strain,cl%temp,cl%press)
    
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          ! interpolate velocity from ov to solve, prepare ov receive the new solution
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          call show_time (total,step,inc,1,'Interpolate velo onto osolve$')
    
          call interpolate_ov_on_osolve (osolve,ov,iter,params,threadinfo)
    
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          !     find bad faces of solve octree
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          call show_time (total,step,inc,1,'Find bad faces$')
    
          osolve%nface=osolve%nleaves
          allocate (osolve%iface(9,osolve%nface),stat=threadinfo%err)       ; call heap (threadinfo,'osolve%iface','main',size(osolve%iface),'int',+1)
    
          call octree_find_bad_faces (osolve%octree,osolve%noctree, &
                                      osolve%iface,osolve%nface, &
                                      osolve%icon,osolve%nleaves)
    
          if (osolve%nface.gt.osolve%nleaves) call stop_run ('nface larger than nleaves$')
          if (iproc.eq.0) write (8,*) osolve%nface,' bad faces in solve octree'
          if (iproc.eq.0) write (8,'(a,i9)') shift//'nb of bad faces',osolve%nface
    
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          ! find void (which nodes are in the void) and which elements are entirely in 
          ! the void and should not be included in the fe calculations
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          call show_time (total,step,inc,1,'Find void$')
    
          allocate (vo%node(osolve%nnode),stat=threadinfo%err)              ; call heap (threadinfo,'vo%node','main',size(vo%node),'int',+1)
          allocate (vo%leaf(osolve%nnode),stat=threadinfo%err)              ; call heap (threadinfo,'vo%leaf','main',size(vo%leaf),'int',+1)
          allocate (vo%face(osolve%nface),stat=threadinfo%err)              ; call heap (threadinfo,'vo%face','main',size(vo%face),'int',+1)
          allocate (vo%rtf(osolve%nnode),stat=threadinfo%err)               ; call heap (threadinfo,'vo%rtf','main',size(vo%rtf),'int',+1)
          allocate (vo%ftr(osolve%nnode),stat=threadinfo%err)               ; call heap (threadinfo,'vo%ftr','main',size(vo%ftr),'int',+1)
          allocate (vo%influid(osolve%nnode),stat=threadinfo%err)           ; call heap (threadinfo,'vo%influid','main',size(vo%influid),'bool',+1)
    
          call  find_void_nodes (params,osolve,vo,istep,ov,threadinfo)
    
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          !     definition of the bc
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          call show_time (total,step,inc,1,'Define boundary conditions$')
          allocate (osolve%kfix(osolve%nnode*3),stat=threadinfo%err)        ; call heap (threadinfo,'osolve%kfix','main',size(osolve%kfix),'int',+1)
          allocate (osolve%kfixt(osolve%nnode),stat=threadinfo%err)         ; call heap (threadinfo,'osolve%kfixt','main',size(osolve%kfixt),'int',+1)
    
          call define_bc (params,osolve,vo)
    
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          ! build matrix arrays, allocate memory for wsmp
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          call show_time (total,step,inc,1,'wsmp setup1$')
    
          n = vo%nnode * ndof
         
          !---[topology]----- 
          allocate (tpl(n)) 
          tpl(:)%nheightmax=17*ndof
          do i=1,n
             allocate (tpl(i)%icol(tpl(i)%nheightmax)) 
          enddo
          call heap (threadinfo,'tpl(:)%icol(:)','main',n*tpl(1)%nheightmax,'int',+1)
          !---[topology]----- 
    
          call wsmp_setup1 (n,n_iproc_st,n_iproc_end,n_iproc,nz_loc,ldb,ndof,vo,osolve,tpl,params,threadinfo,istep,iter)
    
          allocate(iproc_col(n),stat=threadinfo%err)     ; call heap (threadinfo,'iproc_col','main',size(iproc_col),'bool',+1)
          allocate(ja(nz_loc),stat=threadinfo%err)       ; call heap (threadinfo,'ja','main',size(ja),'int',+1)
          allocate(ia(n_iproc+1),stat=threadinfo%err)    ; call heap (threadinfo,'ia','main',size(ia),'int',+1)
          allocate(avals(nz_loc),stat=threadinfo%err)    ; call heap (threadinfo,'avals','main',size(avals),'dp',+1)
          allocate(b(ldb,nrhs),stat=threadinfo%err)      ; call heap (threadinfo,'b','main',size(b),'dp',+1)
    
          call show_time (total,step,inc,1,'wsmp setup2$')
    
          call wsmp_setup2 (n,n_iproc,n_iproc_st,n_iproc_end,nz_loc,iproc_col,     &
                            ia,ja,ndof,vo,osolve,tpl,params,threadinfo,istep,iter)
    
          !---[topology]----- 
          call heap (threadinfo,'tpl(:)%icol(:)','main',n*tpl(1)%nheightmax,'int',-1)
          do i=1,n
             deallocate (tpl(i)%icol)
          enddo
          deallocate (tpl)
          !---[topology]----- 
    
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          ! allocate measurement arrays 
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
    
          allocate (osolve%eviscosity(osolve%nleaves),stat=threadinfo%err)  ; call heap (threadinfo,'osolve%eviscosity','main',size(osolve%eviscosity),'dp',+1)
          allocate (osolve%q(osolve%nleaves),stat=threadinfo%err)           ; call heap (threadinfo,'osolve%q','main',size(osolve%q),'dp',+1)
          allocate (osolve%crit(osolve%nleaves),stat=threadinfo%err)        ; call heap (threadinfo,'osolve%crit','main',size(osolve%crit),'dp',+1)
          allocate (osolve%e2d(osolve%nleaves),stat=threadinfo%err)         ; call heap (threadinfo,'osolve%e2d','main',size(osolve%e2d),'dp',+1)
          allocate (osolve%e3d(osolve%nleaves),stat=threadinfo%err)         ; call heap (threadinfo,'osolve%e3d','main',size(osolve%e3d),'dp',+1)
          allocate (osolve%lode(osolve%nleaves),stat=threadinfo%err)        ; call heap (threadinfo,'osolve%lode','main',size(osolve%lode),'dp',+1)
          allocate (osolve%is_plastic(osolve%nleaves),stat=threadinfo%err)  ; call heap (threadinfo,'osolve%is_plastic','main',size(osolve%is_plastic),'bool',+1)
          allocate (weightel(osolve%nleaves))                               ; call heap (threadinfo,'weightel','main',size(weightel),'bool',+1)
    
          !--------------------------------------------------------------------------------------
          !--------------------------------------------------------------------------------------
          !     beginning of non linear iterations
          !--------------------------------------------------------------------------------------
          !--------------------------------------------------------------------------------------
          do iter_nl=1,abs(params%nonlinear_iterations)                  
     
             if (iproc.eq.0) then
                write(*,*)  '-----------------------------------'
                write(8,*)  '-----------------------------------'
                call show_time(total,step,inc,-iter_nl,' start of non-linear iteration$')
                write(8,*)  'Doing inner iteration ',iter_nl
                write(*,*)  '-----------------------------------'
                write(8,*)  '-----------------------------------'
             end if
             call heap_hop3(threadinfo,iter_nl)
       
             !--------------------------------------------------------------------------------------
             !--------------------------------------------------------------------------------------
             ! transfering previous solution from ov to osolve
             !--------------------------------------------------------------------------------------
             !--------------------------------------------------------------------------------------
             if (iter_nl.gt.1) then    
                do i=1,ov%nnode             
                   osolve%u(i)=ov%unode(i) 
                   osolve%v(i)=ov%vnode(i)  
                   osolve%w(i)=ov%wnode(i)
                enddo  
             end if
    !      call define_bc (params,osolve,vo)
    
             !if (iproc.eq.0) then
             !write(*,*) minval(osolve%u),maxval(osolve%u)
             !write(*,*) minval(osolve%v),maxval(osolve%v)
             !write(*,*) minval(osolve%w),maxval(osolve%w)
             !end if
    
             !--------------------------------------------------------------------------------------
             !--------------------------------------------------------------------------------------
             ! building the FEM matrix and rhs 
             !--------------------------------------------------------------------------------------
             !--------------------------------------------------------------------------------------
             call show_time (total,step,inc,1,'build system$')
    
             call build_system_wsmp (n,n_iproc,n_iproc_st,nz_loc,iproc_col,ia,ja,ldb,nrhs,avals,b, &
                                     params,osolve,ndof,mat,vo,istep,iter,iter_nl,threadinfo,weightel)
    
             !--------------------------------------------------------------------------------------
             !--------------------------------------------------------------------------------------
             ! solve system with wsmp solver 
             !--------------------------------------------------------------------------------------
             !--------------------------------------------------------------------------------------
             call show_time (total,step,inc,1,'wsmp solve$')
    
             call solve_with_pwssmp (n,nz_loc,n_iproc,n_iproc_st,n_iproc_end,ia,ja,  &
                                     ldb,nrhs,avals,b,params,osolve,ov,vo,threadinfo,&
                                     ndof,istep,iter,iter_nl)
             !--------------------------------------------------------------------------------------
             !--------------------------------------------------------------------------------------
             !     calculate pressures
             !--------------------------------------------------------------------------------------
             !--------------------------------------------------------------------------------------
             call show_time (total,step,inc,1,'Calculate pressures$')
    
             call compute_pressure (params,osolve,ov,vo,mat)
    
             !--------------------------------------------------------------------------------------
             !--------------------------------------------------------------------------------------
             !     smoothing pressures
             !--------------------------------------------------------------------------------------
             !--------------------------------------------------------------------------------------
             call show_time (total,step,inc,1,'Smoothing pressures$')
    
             call smooth_pressures (osolve,ov,params)
    
             !--------------------------------------------------------------------------------------
             !--------------------------------------------------------------------------------------
             !     leaf measurements
             !--------------------------------------------------------------------------------------
             !--------------------------------------------------------------------------------------
             call show_time (total,step,inc,1,'do leaf measurements$')
    
             call do_leaf_measurements (osolve,ov,params,istep,iter,iter_nl) 
     
             !--------------------------------------------------------------------------------------
             !--------------------------------------------------------------------------------------
             !     write all informations in a text file
             !--------------------------------------------------------------------------------------
             !--------------------------------------------------------------------------------------
             if (params%debug>=2) then
                call show_time (total,step,inc,1,'write global output$')
                call write_global_output(params,istep,iter,current_time,osolve,ov,vo,surface,cl,'debug')
                call mpi_barrier (mpi_comm_world,ierr)
                call slices (params,osolve,ov,vo,sections,istep,iter,iter_nl)
             end if
    
             !--------------------------------------------------------------------------------------
             !--------------------------------------------------------------------------------------
             !     convergence criterion computation
             !--------------------------------------------------------------------------------------
             !--------------------------------------------------------------------------------------
             call show_time (total,step,inc,1,'compute convergence criterion$')
    
             call compute_convergence_criterion(osolve,ov,vo,params,istep,iter,iter_nl, &
                                                current_level,velocity_converged)
    
             cltemp=current_level  !!++!!
    
             if (velocity_converged .and. increase_current_level) current_level=min(current_level+1,params%levelmax_oct)
    
             if (iproc.eq.0 .and. params%debug>=1) then
                write(*,'(a,L)') shift//'increase_current_level ->',increase_current_level
                write(*,'(a,i2)') shift//'current_level ->',current_level
             end if
    
             if (cltemp+1 == params%levelmax_oct) increase_current_level=.false. !!++!!
    
             if (params%nonlinear_iterations.lt.0 .and. velocity_converged) exit
          
          end do
    
          call heap_hop3_f (threadinfo)
    
          call DoRuRe_nonlin_stats(params%doDoRuRe,istep,iter,iter_nl)
     
          !--------------------------------------------------------------------------------------
          !--------------------------------------------------------------------------------------
          !    end of non linear iterations
          !--------------------------------------------------------------------------------------
          !--------------------------------------------------------------------------------------
    
          call show_time (total,step,inc,1,'slicing the cube$')
          call slices(params,osolve,ov,vo,sections,istep,iter,iter_nl)
    
          call heap (threadinfo,'osolve%eviscosity','main',size(osolve%eviscosity),'dp',-1) ; deallocate (osolve%eviscosity)       
          call heap (threadinfo,'osolve%q','main',size(osolve%q),'dp',-1)                   ; deallocate (osolve%q)                                                    
          !--------------------------------------------------------------------------------------
          !--------------------------------------------------------------------------------------
          !     compute isostasy
          !--------------------------------------------------------------------------------------
          !--------------------------------------------------------------------------------------
    
          call show_time (total,step,inc,1,'Compute isostasy and adjust vertical velocity$')
          
          if (params%isostasy) call isostasy (params,weightel,ov,surface,mat)
    
          !--------------------------------------------------------------------------------------
          !--------------------------------------------------------------------------------------
          !     estimating the divergence (to check if incompressibility has been respected)
          !--------------------------------------------------------------------------------------
          !--------------------------------------------------------------------------------------
          call show_time (total,step,inc,1,'Compute divergence$')
    
          call compute_divergence (params,osolve,ov,vo,istep,iter)
          
          !-------------------------------------------------------------------------!
          !-------------------------------------------------------------------------!
          ! deallocate memory used by the solver and terminates the solver's job
          !-------------------------------------------------------------------------!
          !-------------------------------------------------------------------------!
          call show_time (total,step,inc,1,'wsmp_cleanup$')
    
          call heap (threadinfo,'ia','main',size(ia),'int',-1)                ; deallocate(ia)
          call heap (threadinfo,'ja','main',size(ja),'int',-1)                ; deallocate(ja)
          call heap (threadinfo,'iproc_col','main',size(iproc_col),'bool',-1) ; deallocate(iproc_col)
          call heap (threadinfo,'avals','main',size(avals),'dp',-1)           ; deallocate(avals) 
          call heap (threadinfo,'b','main',size(b),'dp',-1)                   ; deallocate(b)
          call heap (threadinfo,'weightel','main',size(weightel),'dp',-1)     ; deallocate(weightel)
    
          !--------------------------------------------------------------------------------------
          !--------------------------------------------------------------------------------------
          ! check for convergence
          !--------------------------------------------------------------------------------------
          !--------------------------------------------------------------------------------------
    
          if (iter.eq.abs(params%griditer)) converge=.true.
    
          !--------------------------------------------------------------------------------------
          !--------------------------------------------------------------------------------------
          ! deallocate osolve
          !--------------------------------------------------------------------------------------
          !--------------------------------------------------------------------------------------
          ! note that osolve will be needed in the temperature calculations
          ! so if this is the last iteration (converge is true), we will not deallocate osolve
    
          if (.not.converge) then
             call heap (threadinfo,'osolve%octree','main',size(osolve%octree),'int',-1)          ; deallocate (osolve%octree)
             call heap (threadinfo,'osolve%icon','main',size(osolve%icon),'int',-1)              ; deallocate (osolve%icon)                                     
             call heap (threadinfo,'osolve%x','main',size(osolve%x),'dp',-1)                     ; deallocate (osolve%x)    
             call heap (threadinfo,'osolve%y','main',size(osolve%y),'dp',-1)                     ; deallocate (osolve%y) 
             call heap (threadinfo,'osolve%z','main',size(osolve%z),'dp',-1)                     ; deallocate (osolve%z)
             call heap (threadinfo,'osolve%lsf','main',size(osolve%lsf),'dp',-1)                 ; deallocate (osolve%lsf) 
             call heap (threadinfo,'osolve%kfix','main',size(osolve%kfix),'int',-1)              ; deallocate (osolve%kfix)  
             call heap (threadinfo,'osolve%iface','main',size(osolve%iface),'int',-1)            ; deallocate (osolve%iface) 
             call heap (threadinfo,'osolve%strain','main',size(osolve%strain),'dp',-1)           ; deallocate (osolve%strain)  
             call heap (threadinfo,'osolve%pressure','main',size(osolve%pressure),'dp',-1)       ; deallocate (osolve%pressure)  
             call heap (threadinfo,'osolve%spressure','main',size(osolve%spressure),'dp',-1)     ; deallocate (osolve%spressure)
             call heap (threadinfo,'osolve%kfixt','main',size(osolve%kfixt),'int',-1)            ; deallocate (osolve%kfixt) 
             call heap (threadinfo,'osolve%u','main',size(osolve%u),'dp',-1)                     ; deallocate (osolve%u) 
             call heap (threadinfo,'osolve%v','main',size(osolve%v),'dp',-1)                     ; deallocate (osolve%v) 
             call heap (threadinfo,'osolve%w','main',size(osolve%w),'dp',-1)                     ; deallocate (osolve%w) 
             call heap (threadinfo,'osolve%temp','main',size(osolve%temp),'dp',-1)               ; deallocate (osolve%temp) 
             call heap (threadinfo,'osolve%crip','main',size(osolve%crit),'dp',-1)               ; deallocate (osolve%crit) 
             call heap (threadinfo,'osolve%e2d','main',size(osolve%e2d),'dp',-1)                 ; deallocate (osolve%e2d)  
             call heap (threadinfo,'osolve%e3d','main',size(osolve%e3d),'dp',-1)                 ; deallocate (osolve%e3d)  
             call heap (threadinfo,'osolve%lode','main',size(osolve%lode),'dp',-1)               ; deallocate (osolve%lode)  
             call heap (threadinfo,'osolve%is_plastic','main',size(osolve%is_plastic),'bool',-1) ; deallocate (osolve%is_plastic)
          end if
    
          !--------------------------------------------------------------------------------------
          !--------------------------------------------------------------------------------------
          ! finds courant condition time step in case this is the first iteration
          !--------------------------------------------------------------------------------------
          !--------------------------------------------------------------------------------------
    
          if (iter.eq.1) then
             umax=0.d0
             do i=1,ov%nnode
                if (vo%influid(i)) umax=max(umax,sqrt(ov%unode(i)**2+ov%vnode(i)**2+ov%wnode(i)**2))
             enddo
             dtcourant=.5d0**params%levelmax_oct/umax*params%courant
             if (usecourant) then
                params%dt=dtcourant
                if(iproc.eq.0 .and. params%debug .ge. 1) write(*,'(a,es15.6)') shift//'dt (CFL) =',params%dt 
             end if
    
          endif
    
          if (converge) iter=abs(params%griditer)
    
          call DoRuRe_dt_stats (params%doDoRuRe,istep,params%dt)
    
          !--------------------------------------------------------------------------------------
          !--------------------------------------------------------------------------------------
          ! reset surface geometry to original geometry
          !--------------------------------------------------------------------------------------
          !--------------------------------------------------------------------------------------
          call show_time(total,step,inc,1,'Reset surface geometry$')
          do is=1,params%ns
             surface(is)%r=surface0(is)%r
             surface(is)%s=surface0(is)%s
             surface(is)%x=surface0(is)%x
             surface(is)%y=surface0(is)%y
             surface(is)%z=surface0(is)%z
             surface(is)%xn=surface0(is)%xn
             surface(is)%yn=surface0(is)%yn
             surface(is)%zn=surface0(is)%zn
          enddo
    
          !--------------------------------------------------------------------------------------
          !--------------------------------------------------------------------------------------
          ! update surface geometry by midpoint rule if not converge
          !--------------------------------------------------------------------------------------
          !--------------------------------------------------------------------------------------
    
          if (.not.converge) then
    
             olsf%nnode=ov%nnode
             olsf%nleaves=ov%nleaves
             olsf%noctree=ov%noctree
       
             allocate (olsf%octree(olsf%noctree),stat=threadinfo%err)             ; call heap (threadinfo,'olsf%octree','main',size(olsf%octree),'int',+1)
             allocate (olsf%x(olsf%nnode),stat=threadinfo%err)                    ; call heap (threadinfo,'olsf%x','main',size(olsf%x),'dp',+1)
             allocate (olsf%y(olsf%nnode),stat=threadinfo%err)                    ; call heap (threadinfo,'olsf%y','main',size(olsf%y),'dp',+1)
             allocate (olsf%z(olsf%nnode),stat=threadinfo%err)                    ; call heap (threadinfo,'olsf%z','main',size(olsf%z),'dp',+1)
             allocate (olsf%lsf(olsf%nnode),stat=threadinfo%err)                  ; call heap (threadinfo,'olsf%lsf','main',size(olsf%lsf),'dp',+1)
             allocate (olsf%icon(params%mpe,olsf%nleaves),stat=threadinfo%err)    ; call heap (threadinfo,'olsf%icon','main',size(olsf%icon),'int',+1)
    
             olsf%octree(1:olsf%noctree)=ov%octree(1:ov%noctree)
             olsf%x(1:olsf%nnode)=ov%x(1:ov%nnode)
             olsf%y(1:olsf%nnode)=ov%y(1:ov%nnode)
             olsf%z(1:olsf%nnode)=ov%z(1:ov%nnode)
             olsf%icon(:,1:olsf%nleaves)=ov%icon(:,1:ov%nleaves)
    
             do is=1,params%ns
                if (current_time+tiny(current_time).ge. surface(is)%activation_time) then
                   call move_surface (surface(is),surface0(is),1,ov,params%dt/2.d0,params,istep,is)
                else
                   surface(is)%x=surface(1)%x
                   surface(is)%y=surface(1)%y
                   surface(is)%z=surface(1)%z
                   surface(is)%xn=surface(1)%xn
                   surface(is)%yn=surface(1)%yn
                   surface(is)%zn=surface(1)%zn
                   surface(is)%r=surface(1)%r
                   surface(is)%s=surface(1)%s
                endif
    
                ! erosion added by Jean on Dec 12 2007
                if (material0.eq.0.and.params%erosion) then
                   call int_to_char(ic,2,is)
                   call show_time (total,step,inc,1,'Erode surface '//ic(1:2)//'$')
                   if (current_time+tiny(current_time).ge. surface(is)%activation_time) then    
                      call erosion (surface(is),olsf,is,params)
                   else
                      if (iproc.eq.0) write(8,*) 'Surface ',is,' is attached to Surface0'
                      surface(is)%z=surface(1)%z   
                   endif
                end if
             enddo
    
             call heap (threadinfo,'olsf%x','main',size(olsf%x),'dp',-1)            ; deallocate (olsf%x)
             call heap (threadinfo,'olsf%y','main',size(olsf%y),'dp',-1)            ; deallocate (olsf%y)
             call heap (threadinfo,'olsf%z','main',size(olsf%z),'dp',-1)            ; deallocate (olsf%z)
             call heap (threadinfo,'olsf%lsf','main',size(olsf%lsf),'dp',-1)        ; deallocate (olsf%lsf)
             call heap (threadinfo,'olsf%icon','main',size(olsf%icon),'int',-1)     ; deallocate (olsf%icon)
             call heap (threadinfo,'olsf%octree','main',size(olsf%octree),'int',-1) ; deallocate (olsf%octree)
    
          endif
    
          !--------------------------------------------------------------------------------------
          !--------------------------------------------------------------------------------------
          ! deallocate void
          !--------------------------------------------------------------------------------------
          !--------------------------------------------------------------------------------------
          ! note that vo will be needed in the temperature calculations
          ! so if this is the last iteration (converge is true), we will not deallocate vo
    
          if (.not.converge) then
             call heap (threadinfo,'vo%node','main',size(vo%node),'int',-1)        ; deallocate (vo%node)
             call heap (threadinfo,'vo%leaf','main',size(vo%leaf),'int',-1)        ; deallocate (vo%leaf)
             call heap (threadinfo,'vo%face','main',size(vo%face),'int',-1)        ; deallocate (vo%face)
             call heap (threadinfo,'vo%rtf','main',size(vo%rtf),'int',-1)          ; deallocate (vo%rtf)
             call heap (threadinfo,'vo%ftr','main',size(vo%ftr),'int',-1)          ; deallocate (vo%ftr)
             call heap (threadinfo,'vo%influid','main',size(vo%influid),'bool',-1) ; deallocate (vo%influid)
          end if
    
          if (converge) then
             do is=1,params%ns
                call heap (threadinfo,'surface0(is)%r','main',size(surface0(is)%r),'dp',-1)   ; deallocate (surface0(is)%r)
                call heap (threadinfo,'surface0(is)%s','main',size(surface0(is)%s),'dp',-1)   ; deallocate (surface0(is)%s)
                call heap (threadinfo,'surface0(is)%x','main',size(surface0(is)%x),'dp',-1)   ; deallocate (surface0(is)%x)
                call heap (threadinfo,'surface0(is)%y','main',size(surface0(is)%y),'dp',-1)   ; deallocate (surface0(is)%y)
                call heap (threadinfo,'surface0(is)%z','main',size(surface0(is)%z),'dp',-1)   ; deallocate (surface0(is)%z)
                call heap (threadinfo,'surface0(is)%xn','main',size(surface0(is)%xn),'dp',-1) ; deallocate (surface0(is)%xn)
                call heap (threadinfo,'surface0(is)%yn','main',size(surface0(is)%yn),'dp',-1) ; deallocate (surface0(is)%yn)
                call heap (threadinfo,'surface0(is)%zn','main',size(surface0(is)%zn),'dp',-1) ; deallocate (surface0(is)%zn)
             enddo
          endif
    
          iter=iter+1
    
       enddo 
    
       call heap_hop2_f (threadinfo)
    
       !--------------------------------------------------------------------------------------
       !--------------------------------------------------------------------------------------
       !     end of grid iterations
       !--------------------------------------------------------------------------------------
       !--------------------------------------------------------------------------------------
    
       ! we update current_time and can only do it now because this is where the time step is known
       current_time=current_time+params%dt
       if (iproc.eq.0) write(8,*) 'current time =', current_time
    
    
    
       !--------------------------------------------------------------------------------------
       !--------------------------------------------------------------------------------------
       !     solve for temperature
       !--------------------------------------------------------------------------------------
       !--------------------------------------------------------------------------------------
    
       if (iproc.eq.0) then
          write(*,*)  '-----------------------------------------------------------------------'
          write(8,*)  '-----------------------------------------------------------------------'
          call show_time (total,step,inc,1,'Temperature calculations $')
          write (8,*) 'Start of temperature calculations'
          write(*,*)  '-----------------------------------------------------------------------'
          write(8,*)  '-----------------------------------------------------------------------'
       end if
    
       !--------------------------------------------------------------------------------------
       !--------------------------------------------------------------------------------------
       ! transfers velocity and temperature solution from ov to osolve
       !--------------------------------------------------------------------------------------
       !--------------------------------------------------------------------------------------
    
       do i=1,ov%nnode
          osolve%u(i)=ov%unode(i)
          osolve%v(i)=ov%vnode(i)
          osolve%w(i)=ov%wnode(i)
       enddo
    
       if (params%calculate_temp) then
    
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
          ! build matrix arrays, allocate memory for wsmp
          !------------------------------------------------------------------------|
          !------------------------------------------------------------------------|
    
          call show_time (total,step,inc,1,'wsmp setup1$')
    
          n = vo%nnode * ndoft
         
          !---[topology]----- 
          allocate (tpl(n)) 
          tpl%nheightmax=27*ndoft
          do i=1,n