ElementLevelSet.h 13.8 KB
 Peter Gottschling committed Feb 15, 2008 1 2 3 4 5 6 7 8 #ifndef AMDIS_ELEMENTLEVELSET_H #define AMDIS_ELEMENTLEVELSET_H #include "ElementFunction.h" #include "FixVec.h" #include "Parameters.h" namespace AMDiS {  Thomas Witkowski committed Apr 29, 2009 9 10 11  class Element; class ElInfo; class Mesh;  Peter Gottschling committed Feb 15, 2008 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 } using namespace AMDiS; using namespace std; // =========================================================================== // ===== class ElementLevelSet =============================================== // =========================================================================== // // Class Description: // The class ElementLevelSet contains the functionality for // - calculating the intersection points resulting from an intersection // of the boundary (level set zero) with an element, // - calculating the status of an element, i.e. is the element cut // by the zero level set or not. // The calculation of the intersection points is done as follows: // The level set function is linearly approximated on the element, i.e. its // graph is approximated by the plane through the level set values of the // element vertices. We approximate the intersection points by the // intersection of the plane with the element edges. // If in 3-dimensional finite element space the intersection produced 4 // intersection points S0, S1, S2, S3, the intersection points in // elIntersecPoints are rearranged so that S1 and S2 divides the intersection // plane in two (dim - 1)-dimensional simplices. // // Constants indicating the level set status of element: // LEVEL_SET_INTERIOR - element is in domain where level set function // is negative // LEVEL_SET_BOUNDARY - element is in domain where level set function // is positive // LEVEL_SET_EXTERIOR - element is cut by the zero level set // // Main routines: // setElementLevelSet() - Defines the level set function for the // following calculations. // createElementLevelSet() - Calculates level set status of element and // intersection points if needed. // calculateElementLevelSetVal() - Calculates values of the level set // function in the element vertices. // setElement() - Sets elInfo. // getElementLevelSetStatus() - Returns status of element. // getElementIntersecPoints() - Returns intersection points. // getElVertStatusVec() - Returns vector with status information // for each vertex. // =========================================================================== class ElementLevelSet {  Thomas Witkowski committed Apr 29, 2009 59 public:  Peter Gottschling committed Feb 15, 2008 60 61 62 63 64 65 66  /** * Constructor. */ ElementLevelSet(const char *name_, ElementFunction *lSFct_, Mesh *mesh_) : name(name_),  Thomas Witkowski committed Apr 29, 2009 67 68 69 70 71 72 73 74 75 76 77  elInfo(NULL), lastEl(NULL), level_set_domain(LEVEL_SET_UNDEFINED), numIntersecPoints(0), elStatus(LEVEL_SET_UNDEFINED), numElVertexInterior(0), numElVertexBoundary(0), numElVertexExterior(0), LS_VAL_TOL(1.e-8), LS_VAL_MIN(1.e-8), SP_BARY_TOL(1.e-7)  Peter Gottschling committed Feb 15, 2008 78 79 80 81 82 83 84 85 86 87 88  { FUNCNAME("ElementLevelSet::ElementLevelSet()"); TEST_EXIT(lSFct_ || mesh_) ("illegal initialization of ElementLevelSet!\n"); lSFct = lSFct_; mesh = mesh_; dim = mesh->getDim(); elIntersecPoints =  Thomas Witkowski committed May 25, 2009 89  new VectorOfFixVecs >(dim,  Peter Gottschling committed Feb 15, 2008 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107  MAX_INTERSECTION_POINTS, NO_INIT); elVertexStatusVec = new int[dim+1]; elVertexLevelSetVec = new double[dim+1]; int setElementLevelSetTol = 0; GET_PARAMETER(0, name + "->set ElementLevelSet tolerances", "%d", &setElementLevelSetTol); if (setElementLevelSetTol) { GET_PARAMETER(0, name + "->LS_VAL_TOL", "%f", &LS_VAL_TOL); GET_PARAMETER(0, name + "->LS_VAL_MIN", "%f", &LS_VAL_MIN); GET_PARAMETER(0, name + "->SP_BARY_TOL", "%f", &SP_BARY_TOL); TEST_EXIT(LS_VAL_TOL > 0)("illegal LS_VAL_TOL\n"); TEST_EXIT(LS_VAL_MIN > 0)("illegal LS_VAL_MIN\n"); TEST_EXIT(SP_BARY_TOL > 0)("illegal SP_BARY_TOL\n"); }  Thomas Witkowski committed Apr 29, 2009 108  }  Peter Gottschling committed Feb 15, 2008 109 110 111 112 113 114 115 116 117 118 119  /** * Destructor. */ ~ElementLevelSet() { if (elVertexStatusVec) delete [] elVertexStatusVec; if(elVertexLevelSetVec) delete [] elVertexLevelSetVec; if (elIntersecPoints)  Thomas Witkowski committed May 25, 2009 120  delete elIntersecPoints;  Thomas Witkowski committed Apr 29, 2009 121  }  Peter Gottschling committed Feb 15, 2008 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151  /** * Calculates LevelSet-status of element and its intersection points * with the zero level set if necessary. * * Result: * LEVEL_SET_BOUNDARY: Element elInfo is intersected by levelSetFct. * LEVEL_SET_EXTERIOR / LEVEL_SET_INTERIOR: Element lies completely on * one side of the zero level set. * * After proceeding this function, information about the level set * status is given in: * elStatus: status of element (LEVEL_SET_BOUNDARY, LEVEL_SET_INTERIOR or * EXTERIOR) * elVertexStatusVec: stores status of each vertex of element * elVertexLevelSetVec: stores level set function value of each vertex of * element * numElVertexInterior: number of vertices of element with status * LEVEL_SET_INTERIOR * numElVertexExterior: number of vertices of element with status * LEVEL_SET_EXTERIOR * numElVertexBoundary: number of vertices of element with status * LEVEL_SET_BOUNDARY * elIntersecPoints: stores the intersection points produced by the * intersection of element with the zero level set * numIntersecPoints: number of intersection points */ int createElementLevelSet(const ElInfo *elInfo_, const bool doCalcIntersecPts_ = true);  Thomas Witkowski committed Apr 29, 2009 152 153  /// Gets value of level set function at point given in barycentric coordinates. inline const double calcLevelSetFct(const DimVec& bary) {  Peter Gottschling committed Feb 15, 2008 154  return (*lSFct)(bary);  Thomas Witkowski committed Apr 29, 2009 155  }  Peter Gottschling committed Feb 15, 2008 156   Thomas Witkowski committed Apr 29, 2009 157  /// Resets level set information on element.  Peter Gottschling committed Feb 15, 2008 158 159 160 161 162 163 164 165  inline void resetElement() { FUNCNAME("ElementLevelSet::resetElement"); numElVertexInterior = 0; numElVertexBoundary = 0; numElVertexExterior = 0; numIntersecPoints = 0; elStatus = LEVEL_SET_UNDEFINED;  Thomas Witkowski committed Apr 29, 2009 166  }  Peter Gottschling committed Feb 15, 2008 167 168 169 170 171 172 173  /** * Defines current element (elInfo). */ inline void setElement(const ElInfo *elInfo_) { elInfo = elInfo_; resetElement();  Thomas Witkowski committed Apr 29, 2009 174  }  Peter Gottschling committed Feb 15, 2008 175 176 177 178 179 180 181 182 183 184  /** * Set level_set_domain. */ inline void setLevelSetDomain(int status_) { TEST_EXIT(status_ == LEVEL_SET_INTERIOR || status_ == LEVEL_SET_EXTERIOR || status_ == LEVEL_SET_BOUNDARY)("illegal level set status !\n"); level_set_domain = status_;  Thomas Witkowski committed Apr 29, 2009 185  }  Peter Gottschling committed Feb 15, 2008 186 187 188 189 190 191 192 193 194 195 196 197 198  /** * Functions to set tolerances for intersection point calculation. */ inline void setLsValTol(double tol) {LS_VAL_TOL = tol;}; inline void setLsValMin(double min) {LS_VAL_MIN = min;}; inline void setSpBaryTol(double tol) {SP_BARY_TOL = tol;}; /** * Get level_set_domain. */ inline const int& getLevelSetDomain() const { return level_set_domain;  Thomas Witkowski committed Apr 29, 2009 199  }  Peter Gottschling committed Feb 15, 2008 200 201 202 203 204 205  /** * Get LevelSet-Status of element. */ inline const int& getElementLevelSetStatus() const { return elStatus;  Thomas Witkowski committed Apr 29, 2009 206  }  Peter Gottschling committed Feb 15, 2008 207 208 209 210 211 212 213 214  /** * Get number of vertices which are intersection points. */ inline const int& getNumVertIntPoints() const { FUNCNAME("ElementLevelSet::getNumVertIntPoints"); TEST_EXIT(numElVertexBoundary == 0)("numElVertexBoundary should be zero!\n"); return numElVertexBoundary;  Thomas Witkowski committed Apr 29, 2009 215  };  Peter Gottschling committed Feb 15, 2008 216 217 218 219 220 221  /** * Get vector elVertexStatusVec. */ inline const int *getElVertStatusVec() const { return elVertexStatusVec;  Thomas Witkowski committed Apr 29, 2009 222  }  Peter Gottschling committed Feb 15, 2008 223 224 225 226 227 228  /** * Get i-th component of vector elVertexLevelSetVec. */ inline const double getElVertLevelSetVec(const int i) const { return elVertexLevelSetVec[i];  Thomas Witkowski committed Apr 29, 2009 229  }  Peter Gottschling committed Feb 15, 2008 230 231 232 233 234 235  /** * Get vector elVertexLevelSetVec. */ inline const double *getElVertLevelSetVec() const { return elVertexLevelSetVec;  Thomas Witkowski committed Apr 29, 2009 236  }  Peter Gottschling committed Feb 15, 2008 237 238 239 240 241 242  /** * Get levelSetFct. */ inline ElementFunction *getLevelSetFct() const { return lSFct;  Thomas Witkowski committed Apr 29, 2009 243  }  Peter Gottschling committed Feb 15, 2008 244 245 246 247 248 249  /** * Get mesh. */ inline Mesh *getMesh() const { return mesh;  Thomas Witkowski committed Apr 29, 2009 250  }  Peter Gottschling committed Feb 15, 2008 251 252 253 254 255 256  /** * Get dim. */ inline int getDim() const { return dim;  Thomas Witkowski committed Apr 29, 2009 257  }  Peter Gottschling committed Feb 15, 2008 258 259 260 261 262 263  /** * Get the intersection points. */ inline VectorOfFixVecs > *getElIntersecPoints() const { return elIntersecPoints;  Thomas Witkowski committed Apr 29, 2009 264  }  Peter Gottschling committed Feb 15, 2008 265 266 267 268 269 270  /** * Get number of intersection points. */ inline int getNumElIntersecPoints() const { return numIntersecPoints;  Thomas Witkowski committed Apr 29, 2009 271  }  Peter Gottschling committed Feb 15, 2008 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294  /** * Calculate exterior normal to intersection plane. */ void calcIntersecNormal(WorldVector &normal); /** * Gets position of point in element with barycentric coordinates * barCoords, i.e. whether point is in the domain with positive * (LEVEL_SET_EXTERIOR) or negative (LEVEL_SET_INTERIOR) level set * function values. Uses level set function, thus element vertices * may have level set function value zero. */ int getElPos(const DimVec barCoords); /** * Gets position of element vertex given in barycentric coordinates, * i.e. whether element vertex is in the domain with positive * (LEVEL_SET_EXTERIOR) or negative (LEVEL_SET_INTERIOR) level set * function values. Uses elVertexLevelSetVec. */ int getVertexPos(const DimVec barCoords);  Thomas Witkowski committed Apr 29, 2009 295 protected:  Peter Gottschling committed Feb 15, 2008 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353  /** * Calculates level set value of each vertex of element. */ void calculateElementLevelSetVal(); /** * Calculates the status of an element. * * Note: Uses values in elVertexLevelSetVec. * * Return value: * LEVEL_SET_INTERIOR element lies completely inside * LEVEL_SET_EXTERIOR element lies completely outside * LEVEL_SET_BOUNDARY element is cut by the zero level set */ int calculateElementStatus(); /** * Calculates intersection points of zero level set with element. * * Note: Uses elVertexLevelSet. */ void calculateIntersecPoints(); /** * Checks whether level set values of element (in elVertexLevelSetVec) * are below a certain bound and corrects them if this is the case. * * Return value: number of values corrected */ int checkElementLevelSetVal(); /** * Checks whether barycentric coordinate of intersection point is not * too small and corrects it if this is the case. * * Return value: true - barycentric coordinate has been corrected * false - barycentric coordinate is ok */ bool checkIntersecBary(double &bary); /** * Sort intersection points S0, S1, S2 and S3 in \ref elIntersecPoints in * such a way that afterwards, a line through S1 and S2 divides the * intersection plane into two (\ref dim - 1)-dimensional simplices. */ void sortIntersecPoints_4IP3D(); /** * Calculate exterior normal to intersection plane for dimension 2. */ void calcIntersecNormal_2d(WorldVector &normal); /** * Calculate exterior normal to intersection plane for dimension 3. */ void calcIntersecNormal_3d(WorldVector &normal);  Thomas Witkowski committed Apr 29, 2009 354 public:  Peter Gottschling committed Feb 15, 2008 355 356 357 358 359 360 361 362  /** * Constants characterizing element position with respect to zero level set. */ static const int LEVEL_SET_INTERIOR = -1; static const int LEVEL_SET_BOUNDARY = 0; static const int LEVEL_SET_EXTERIOR = 1; static const int LEVEL_SET_UNDEFINED = -2;  Thomas Witkowski committed Apr 29, 2009 363 protected:  Peter Gottschling committed Feb 15, 2008 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489  /** * Name of this object. */ std::string name; /** * Level set function. */ ElementFunction *lSFct; /** * Mesh. */ Mesh *mesh; /** * elInfo of element. */ const ElInfo *elInfo; /** * Pointer to last element processed calculations on whithin this class. */ Element *lastEl; /** * Indicator which can be used for example for function evaluation * or integration on subelements. Indicates whether point/subelement ... * is inside (LEVEL_SET_INTERIOR) or outside (LEVEL_SET_EXTERIOR) the * zero level set or is cut by the zero level set (LEVEL_SET_BOUNDARY). */ int level_set_domain; /** * Dimension of the problem. dim + 1 is the number of vertices * of element. */ int dim; /** * Vector for intersection points produced by the intersection of linearly * approximated level set function with the edges of element. */ VectorOfFixVecs > *elIntersecPoints; /** * Number of intersection points. */ int numIntersecPoints; /** * LevelSet-Status of element. */ int elStatus; /** * Holds for each vertex of element the information about the position * of the vertex with respect to the zero level set. */ int *elVertexStatusVec; /** * Stores for each vertex of element the level set of the vertex. */ double *elVertexLevelSetVec; /** * Number of vertices in element with level set status LEVEL_SET_INTERIOR. */ int numElVertexInterior; /** * Number of vertices in element with level set status LEVEL_SET_BOUNDARY. * * Note: should be zero */ int numElVertexBoundary; /** * Number of vertices in element with level set status LEVEL_SET_EXTERIOR. */ int numElVertexExterior; /** * Tolerance used in the calculation of the local minimal level set value. * The local minimal level set value depends on the gradient of the * level set function. * Used for the calculation of intersection points. * * If intersection points are too close to vertices, they are slightly * moved. * IDEA: If d is the distance of an intersection point to vertex v, * the property * * d > LS_VAL_TOL * h * * must be satisfied. * In the implementation this results in * * phi(v) > LS_VAL_TOL * h * grad . */ double LS_VAL_TOL; /** * Lower bound for level set value on elements cut by the zero level set. * Used for the calculation of intersection points. */ double LS_VAL_MIN; /** * Lower bound for barycentric coordinates of intersection points. * * Each component x of the barycentric coordinates of an intersection * point satisfies * * SP_BARY_TOL < x < 1 - SP_BARY_TOL . */ double SP_BARY_TOL; /* * Maximum number of intersection points. */ static const int MAX_INTERSECTION_POINTS = 4; }; #endif // AMDIS_ELEMENTLEVELSET_H