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MatGenFD.h
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42 
43 #ifndef MATGENFD_DH_DH
44 #define MATGENFD_DH_DH
45 
46 /*=====================================================================
47 option summary:
48 ---------------
49 processor topology
50  -px <int> -py <int> -pz <int>
51  defaults: -px 1 -py 1 -pz 0
52 
53 grid topology
54  -m <int>
55  if pz=0, each processor has a square grid of dimension m*m,
56  hence there are m*m*px*py unknowns.
57  if pz > 0, each local grid is of dimension m*m*m, hence
58  there are m*m*m*px*py*pz unknowns.
59 
60 
61 diffusion coefficients (default is 1.0):
62  -dx <double> -dy <double> -dz <double>
63 
64 convection coefficients (default is 0.0)
65  -cx <double> -cy <double> -cz <double>
66 
67 grid dimension; if more than one mpi process, this is
68 the local size for each processor:
69  -m <int>
70 
71 boundary conditions:
72  This is very primitive; boundary conditions can only be generated for
73  2D grids; the condition along each side is either dirichlet (constant),
74  if bcXX >= 0, or neuman, if bcXX < 0.
75 
76  -bcx1 <double>
77  -bcx2 <double>
78  -bcy1 <double>
79  -bcy2 <double>
80 
81 Misc.
82  -debug_matgen
83  -striped (may not work?)
84 =====================================================================*/
85 
86 
87 #include "euclid_common.h"
88 
89 #ifdef __cplusplus
90 extern "C"
91 {
92 #endif
93 
94  struct _matgenfd
95  {
96  bool allocateMem;
97  /* If true, memory is allocated when run() is called, in which case
98  * the caller is responsible for calling FREE_DH for the rp, cval,
99  * aval, and rhs arrays. If false, caller is assumed to have
100  * allocated memory when run is called.
101  * Default is "true"
102  */
103  int px, py, pz; /* Processor graph dimensions */
104  bool threeD;
105  int m; /* number of matrix rows in local matrix */
106  int cc; /* Dimension of each processor's subgrid */
107  double hh; /* Grid spacing; this is constant, equal to 1.0/(px*cc-1) */
108  int id; /* the processor whose submatrix is to be generated */
109  int np; /* number of subdomains (processors, mpi tasks) */
110  double stencil[8];
111 
112 
113  /* derivative coefficients; a,b,c are 2nd derivatives,
114  * c,d,e are 1st derivatives; f,g,h not currently used.
115  */
116  double a, b, c, d, e, f, g, h;
117 
118  int first; /* global number of first locally owned row */
119  bool debug;
120 
121  /* boundary conditions; if value is < 0, neumen; else, dirichelet */
122  double bcX1, bcX2;
123  double bcY1, bcY2;
124  double bcZ1, bcZ2;
125 
126  /* The following return coefficients; default is konstant() */
127  double (*A) (double coeff, double x, double y, double z);
128  double (*B) (double coeff, double x, double y, double z);
129  double (*C) (double coeff, double x, double y, double z);
130  double (*D) (double coeff, double x, double y, double z);
131  double (*E) (double coeff, double x, double y, double z);
132  double (*F) (double coeff, double x, double y, double z);
133  double (*G) (double coeff, double x, double y, double z);
134  double (*H) (double coeff, double x, double y, double z);
135  };
136 
137  extern void MatGenFD_Create (MatGenFD * mg);
138  extern void MatGenFD_Destroy (MatGenFD mg);
139  extern void MatGenFD_Run (MatGenFD mg, int id, int np, Mat_dh * A,
140  Vec_dh * rhs);
141 
142  /* =========== coefficient functions ============== */
143  extern double konstant (double coeff, double x, double y, double z);
144  extern double e2_xy (double coeff, double x, double y, double z);
145 
146 
147 
148 /* 3 boxes nested inside the unit square domain.
149  diffusivity constants are: -dd1, -dd2, -dd3.
150 */
151 /* box placement */
152 #define BOX1_X1 0.1
153 #define BOX1_X2 0.4
154 #define BOX1_Y1 0.1
155 #define BOX1_Y2 0.4
156 
157 #define BOX2_X1 0.6
158 #define BOX2_X2 0.9
159 #define BOX2_Y1 0.1
160 #define BOX2_Y2 0.4
161 
162 #define BOX3_X1 0.2
163 #define BOX3_X2 0.8
164 #define BOX3_Y1 0.6
165 #define BOX3_Y2 0.8
166 
167 /* default diffusivity */
168 #define BOX1_DD 10
169 #define BOX2_DD 100
170 #define BOX3_DD 50
171 
172  extern double box_1 (double coeff, double x, double y, double z);
173  /* -bd2 is diffusion coeff outside box;
174  -bd1 is diffusion coeff inside box.
175  */
176 
177 
178 
179  extern double box_2 (double coeff, double x, double y, double z);
180 
181 #ifdef __cplusplus
182 }
183 #endif
184 #endif
Definition: Mat_dh.h:62
Definition: Vec_dh.h:52