Revision 0461d2e117ce88704a56dd8bcbf6bf7787991b15 authored by Eh Tan on 08 November 2007, 23:28:46 UTC, committed by Eh Tan on 08 November 2007, 23:28:46 UTC
svn+ssh://svn@geodynamics.org/cig/mc/3D/CitcomS/trunk

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  r8194 | tan2 | 2007-10-30 14:49:58 -0700 (Tue, 30 Oct 2007) | 1 line
  
  Compute d(rho)/dr/rho from rho(r)
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  r8195 | tan2 | 2007-10-30 14:50:52 -0700 (Tue, 30 Oct 2007) | 1 line
  
  Fixed a bug in dimensionalizing density. Provided the formula of geoid calculation in the comments. Rearranged the order of functions.
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  r8196 | tan2 | 2007-10-30 14:53:50 -0700 (Tue, 30 Oct 2007) | 1 line
  
  A post-processing program to project geoid coefficents onto a regular (longitude, latitude) mesh
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  r8197 | tan2 | 2007-10-30 14:54:14 -0700 (Tue, 30 Oct 2007) | 1 line
  
  Added the C program project_geoid to the makefile
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  r8199 | tan2 | 2007-10-30 15:29:44 -0700 (Tue, 30 Oct 2007) | 1 line
  
  Minor modification
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  r8201 | tan2 | 2007-11-01 16:33:30 -0700 (Thu, 01 Nov 2007) | 1 line
  
  Print dv/v=dp/p=1.0 for the 1st Uzawa iteraion
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  r8202 | tan2 | 2007-11-01 16:33:50 -0700 (Thu, 01 Nov 2007) | 1 line
  
  Fixed an error in comment
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  r8204 | tan2 | 2007-11-05 17:03:35 -0800 (Mon, 05 Nov 2007) | 1 line
  
  Scaled topo with variable gravity. Fixed an error in comment. Rearranged computation.
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  r8205 | tan2 | 2007-11-05 17:03:55 -0800 (Mon, 05 Nov 2007) | 1 line
  
  Removed functions related sph. harm in lib/Regional_obsolete.c
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  r8206 | tan2 | 2007-11-05 17:04:20 -0800 (Mon, 05 Nov 2007) | 1 line
  
  Shrank the size of sph. harm arrays
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  r8207 | tan2 | 2007-11-05 17:04:43 -0800 (Mon, 05 Nov 2007) | 1 line
  
  Init'd some variables about vtk_io, which might be accessed with uninit'd values in output_finalize()
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  r8212 | tan2 | 2007-11-06 15:17:54 -0800 (Tue, 06 Nov 2007) | 1 line
  
  Fixed a few memory errors
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  r8213 | tan2 | 2007-11-06 15:18:12 -0800 (Tue, 06 Nov 2007) | 1 line
  
  Increase vlowstep to match the default value in pyre
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  r8214 | tan2 | 2007-11-06 15:18:35 -0800 (Tue, 06 Nov 2007) | 1 line
  
  Removed unused multigrid parameters
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  r8215 | tan2 | 2007-11-06 15:18:54 -0800 (Tue, 06 Nov 2007) | 1 line
  
  Added cgrad solver convergence parameters, increased buoyancy_ratio and lower the # of steps
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  r8226 | tan2 | 2007-11-07 11:51:56 -0800 (Wed, 07 Nov 2007) | 1 line
  
  Print a warning when matrix eqn solver not converging
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  r8227 | tan2 | 2007-11-07 11:52:17 -0800 (Wed, 07 Nov 2007) | 1 line
  
  Removed comp_el from default output, since it is not required for restart anymore.
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  r8228 | tan2 | 2007-11-07 11:52:39 -0800 (Wed, 07 Nov 2007) | 1 line
  
  Decreased the # of processors. This is the only way I can reproduce single-cell convection as in the manual.
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  r8235 | tan2 | 2007-11-08 11:18:26 -0800 (Thu, 08 Nov 2007) | 1 line
  
  Dereased the timestep size to reduce artifacts in advection
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  r8236 | tan2 | 2007-11-08 11:18:52 -0800 (Thu, 08 Nov 2007) | 1 line
  
  Update NEWS
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  r8237 | tan2 | 2007-11-08 11:19:12 -0800 (Thu, 08 Nov 2007) | 1 line
  
  Update the version number
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  r8241 | tan2 | 2007-11-08 13:17:14 -0800 (Thu, 08 Nov 2007) | 1 line
  
  Updated file ChangeLog to r8240
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  r8242 | tan2 | 2007-11-08 13:36:55 -0800 (Thu, 08 Nov 2007) | 1 line
  
  Removed binary checkpoint files from makefile, as the file size is too big for distribution.
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  r8243 | tan2 | 2007-11-08 13:38:09 -0800 (Thu, 08 Nov 2007) | 1 line
  
  Updated file ChangeLog to r8242
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  r8244 | tan2 | 2007-11-08 14:31:21 -0800 (Thu, 08 Nov 2007) | 1 line
  
  Replaced a system call by std C library remove() and disabled another system call (backup input file). Partially fixed issue130. All remaining system calls are in lib/Output_gzdir.c.
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  r8245 | tan2 | 2007-11-08 14:41:31 -0800 (Thu, 08 Nov 2007) | 1 line
  
  Updated file ChangeLog to r8244
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1 parent a828fa9
Raw File
Shape_functions.c
/*
 *~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 * 
 *<LicenseText>
 *
 * CitcomS by Louis Moresi, Shijie Zhong, Lijie Han, Eh Tan,
 * Clint Conrad, Michael Gurnis, and Eun-seo Choi.
 * Copyright (C) 1994-2005, California Institute of Technology.
 *
 * This program is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 2 of the License, or
 * (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software
 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
 *
 *</LicenseText>
 * 
 *~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 */
/*  Functions which construct the shape function values at all of the gauss
    points in the element (including the reduced quadrature points). The element in question is
    biquadratic in the velocities and therefore bilinear in the pressures. 
    
    To change elements it is necessary to change this file: Shape_functions.c,
    and the element-data header file : element_definitions.h  but it should not be
    necessary to change the main calculation/setup/solving machinery.		 */

#include <math.h>
#include "element_definitions.h"				
#include "global_defs.h"
 
/*  =======================================================
    Function creating shape_fn data in form of a structure
    =======================================================*/

void construct_shape_functions(E)
     struct All_variables *E;
{	
  double lpoly(),lpolydash();
  int i,j,k,d,dd;
  int remapj,remapk;

  /* first zero ALL entries, even those not used in 2d. */

  for(i=0;i<GNVI;i++)
    { E->N.vpt[i] = 0.0; 
      E->Nx.vpt[i] = 0.0;
      E->Nx.vpt[GNVI+i] = 0.0;
      E->Nx.vpt[2*GNVI+i] = 0.0; 
    }
  
   for(i=0;i<GNPI;i++)
    { E->N.ppt[i] = 0.0; 
      E->Nx.ppt[i] = 0.0;
      E->Nx.ppt[GNPI+i] = 0.0;
      E->Nx.ppt[2*GNPI+i] = 0.0; 
    }
  
  for(i=0;i<GN1VI;i++)
    { E->M.vpt[i] = 0.0; 
      E->Mx.vpt[i] = 0.0;
      E->Mx.vpt[GN1VI+i] = 0.0;
    }
  
   for(i=0;i<GN1PI;i++)
    { E->M.ppt[i] = 0.0; 
      E->Mx.ppt[i] = 0.0;
      E->Mx.ppt[GN1PI+i] = 0.0;
    }
  
  for(i=0;i<GN1VI;i++)
    { E->L.vpt[i] = 0.0; 
      E->Lx.vpt[i] = 0.0;
      E->Lx.vpt[GN1VI+i] = 0.0;
    }

  for(i=0;i<GNVI;i++)
    { E->NM.vpt[i] = 0.0; 
      E->NMx.vpt[i] = 0.0;
      E->NMx.vpt[GNVI+i] = 0.0;
      E->NMx.vpt[2*GNVI+i] = 0.0; 
    }

  for(i=1;i<=enodes[E->mesh.nsd];i++)   {
   /*  for each node  */

      for(j=1;j<=vpoints[E->mesh.nsd];j++)  { 
 
	  /* for each integration point  */
         E->N.vpt[GNVINDEX(i,j)] = 1.0;
         for(d=1;d<=E->mesh.nsd;d++)   
             E->N.vpt[GNVINDEX(i,j)] *=  
                   lpoly(bb[d-1][i],g_point[j].x[d-1]);
	      
         for(dd=1;dd<=E->mesh.nsd;dd++) {
             E->Nx.vpt[GNVXINDEX(dd-1,i,j)] = lpolydash(bb[dd-1][i],g_point[j].x[dd-1]);
             for(d=1;d<=E->mesh.nsd;d++)
                if (d != dd)
                   E->Nx.vpt[GNVXINDEX(dd-1,i,j)] *= lpoly(bb[d-1][i],g_point[j].x[d-1]);
	     }
         } 
 
     
      for(j=1;j<=ppoints[E->mesh.nsd];j++)  {
	  /* for each p-integration point  */
         E->N.ppt[GNPINDEX(i,j)] = 1.0;
         for(d=1;d<=E->mesh.nsd;d++) 
            E->N.ppt[GNPINDEX(i,j)] *=  
                 lpoly(bb[d-1][i],p_point[j].x[d-1]);
	   
         for(dd=1;dd<=E->mesh.nsd;dd++) {
            E->Nx.ppt[GNPXINDEX(dd-1,i,j)] = lpolydash(bb[dd-1][i],p_point[j].x[dd-1]);
            for(d=1;d<=E->mesh.nsd;d++)
               if (d != dd)  
                  E->Nx.ppt[GNPXINDEX(dd-1,i,j)] *= lpoly(bb[d-1][i],p_point[j].x[d-1]); 
            }
         }
      }	 


  for(j=1;j<=onedvpoints[E->mesh.nsd];j++)
    for(k=1;k<=onedvpoints[E->mesh.nsd];k++)   {
       E->M.vpt[GMVINDEX(j,k)] = 1.0;
       for(d=1;d<=E->mesh.nsd-1;d++)
          E->M.vpt[GMVINDEX(j,k)] *= lpoly(bb[d-1][j],s_point[k].x[d-1]);

       for(dd=1;dd<=E->mesh.nsd-1;dd++) {
          E->Mx.vpt[GMVXINDEX(dd-1,j,k)] = lpolydash(bb[dd-1][j],s_point[k].x[d-1]);
          for(d=1;d<=E->mesh.nsd-1;d++)
             if (d != dd)
                E->Mx.vpt[GMVXINDEX(dd-1,j,k)] *= lpoly(bb[d-1][j],s_point[k].x[d-1]);
          }
       }





  for(i=1;i<=enodes[E->mesh.nsd];i++)   {
      for(j=1;j<=vpoints[E->mesh.nsd];j++)   {
	  /* for each integration point  */
         E->NM.vpt[GNVINDEX(i,j)] = 1.0;
         for(d=1;d<=E->mesh.nsd;d++)   
             E->NM.vpt[GNVINDEX(i,j)] *=  
                   lpoly(bb[d-1][i],s_point[j].x[d-1]);

         for(dd=1;dd<=E->mesh.nsd;dd++)                 {
            E->NMx.vpt[GNVXINDEX(dd-1,i,j)] = lpolydash(bb[dd-1][i],s_point[j].x[dd-1]);
            for(d=1;d<=E->mesh.nsd;d++)
               if (d != dd)  
                  E->NMx.vpt[GNVXINDEX(dd-1,i,j)] *= lpoly(bb[d-1][i],s_point[j].x[d-1]); 
      
            }
         }

      }	 


  return; }

		
double lpoly(p,y)
     int p;	   /*   selects lagrange polynomial , 1d: node p */
     double y;  /*   coordinate in given direction to evaluate poly */
{	
  double value;
  
  switch (p)
    {
    case 1:
      value =0.5 * (1-y) ;
      break;
    case 2:
      value =0.5 * (1+y) ;
      break;
    default:
      value = 0.0;
    }

  return(value);
}
	
double lpolydash(p,y)
     int p;
     double y;
{	
  double value;
  switch (p)
    {
    case 1:
      value = -0.5 ;
      break;
    case 2:
      value =  0.5 ;
      break;
    default:
      value = 0.0;
    }

  return(value);	}










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