doc/salome/gui/SMESH/defining_hypotheses_tui.htm

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  94 <h1>Defining Hypotheses and Algorithms</h1>
  95
  96 <h3>Defining 1D Hypotheses</h3>
  97
  98 <p class="whs1"><a name=bookmark>1D Arithmetic</a></p>
  99
 100 <p>&nbsp;</p>
 101
 102 <p class="whs2">from geompy import
 103  *</p>
 104
 105 <p class="whs2">import smesh</p>
 106
 107 <p>&nbsp;</p>
 108
 109 <p># create vertices</p>
 110
 111 <p class="whs2">Point111 = MakeVertex(
 112  0, &nbsp;0, &nbsp;0)</p>
 113
 114 <p class="whs2">Point211 = MakeVertex(10,
 115  &nbsp;0, &nbsp;0)</p>
 116
 117 <p class="whs2">Point121 = MakeVertex(
 118  0, 10, &nbsp;0)</p>
 119
 120 <p class="whs2">Point221 = MakeVertex(10,
 121  10, &nbsp;0)</p>
 122
 123 <p class="whs2">Point112 = MakeVertex(
 124  0, &nbsp;0, 10)</p>
 125
 126 <p class="whs2">Point212 = MakeVertex(10,
 127  &nbsp;0, 10)</p>
 128
 129 <p class="whs2">Point122 = MakeVertex(
 130  0, 10, 10)</p>
 131
 132 <p class="whs2">Point222 = MakeVertex(10,
 133  10, 10)</p>
 134
 135 <p>&nbsp;</p>
 136
 137 <p># create edges</p>
 138
 139 <p class="whs2">EdgeX111 = MakeEdge(Point111,
 140  Point211)</p>
 141
 142 <p class="whs2">EdgeX121 = MakeEdge(Point121,
 143  Point221)</p>
 144
 145 <p class="whs2">EdgeX112 = MakeEdge(Point112,
 146  Point212)</p>
 147
 148 <p class="whs2">EdgeX122 = MakeEdge(Point122,
 149  Point222)</p>
 150
 151 <p class="whs2">EdgeY11 = MakeEdge(Point111,
 152  Point121)</p>
 153
 154 <p class="whs2">EdgeY21 = MakeEdge(Point211,
 155  Point221)</p>
 156
 157 <p class="whs2">EdgeY12 = MakeEdge(Point112,
 158  Point122)</p>
 159
 160 <p class="whs2">EdgeY22 = MakeEdge(Point212,
 161  Point222)</p>
 162
 163 <p class="whs2">EdgeZ111 = MakeEdge(Point111,
 164  Point112)</p>
 165
 166 <p class="whs2">EdgeZ211 = MakeEdge(Point211,
 167  Point212)</p>
 168
 169 <p class="whs2">EdgeZ121 = MakeEdge(Point121,
 170  Point122)</p>
 171
 172 <p class="whs2">EdgeZ221 = MakeEdge(Point221,
 173  Point222)</p>
 174
 175 <p>&nbsp;</p>
 176
 177 <p># create faces</p>
 178
 179 <p class="whs2">FaceX11 = MakeQuad(EdgeY11,
 180  EdgeZ111, EdgeY12, EdgeZ121)</p>
 181
 182 <p class="whs2">FaceX21 = MakeQuad(EdgeY21,
 183  EdgeZ211, EdgeY22, EdgeZ221)</p>
 184
 185 <p class="whs2">FaceY111 = MakeQuad(EdgeX111,
 186  EdgeZ111, EdgeX112, EdgeZ211)</p>
 187
 188 <p class="whs2">FaceY121 = MakeQuad(EdgeX121,
 189  EdgeZ121, EdgeX122, EdgeZ221)</p>
 190
 191 <p class="whs2">FaceZ11 = MakeQuad(EdgeX111,
 192  EdgeY11, EdgeX121, EdgeY21)</p>
 193
 194 <p class="whs2">FaceZ12 = MakeQuad(EdgeX112,
 195  EdgeY12, EdgeX122, EdgeY22)</p>
 196
 197 <p>&nbsp;</p>
 198
 199 <p># create a solid</p>
 200
 201 <p class="whs2">Block = MakeHexa(FaceX11,
 202  FaceX21, FaceY111, FaceY121, FaceZ11, FaceZ12)</p>
 203
 204 <p>&nbsp;</p>
 205
 206 <p># create a compound</p>
 207
 208 <p class="whs2">box = MakeCompound([Block])</p>
 209
 210 <p>&nbsp;</p>
 211
 212 <p># add in the study</p>
 213
 214 <p class="whs2">box_id = addToStudy(box,
 215  &quot;Box compound&quot;)</p>
 216
 217 <p>&nbsp;</p>
 218
 219 <p># create a hexahedral mesh on the box</p>
 220
 221 <p class="whs2">hexa = smesh.Mesh(box,
 222  &quot;Box compound : hexahedrical mesh&quot;)</p>
 223
 224 <p class="whs2">algo = hexa.Segment()</p>
 225
 226 <p>&nbsp;</p>
 227
 228 <p># define &quot;NumberOfSegments&quot; hypothesis to cut an edge in a
 229  fixed number of segments</p>
 230
 231 <p class="whs2">algo.NumberOfSegments(4)</p>
 232
 233 <p>&nbsp;</p>
 234
 235 <p># create a quadrangle 2D algorithm for faces</p>
 236
 237 <p class="whs2">hexa.Quadrangle()</p>
 238
 239 <p>&nbsp;</p>
 240
 241 <p># create a hexahedron 3D algorithm for solids</p>
 242
 243 <p class="whs2">hexa.Hexahedron()</p>
 244
 245 <p>&nbsp;</p>
 246
 247 <p># create a local hypothesis</p>
 248
 249 <p class="whs2">algo = hexa.Segment(EdgeX111)</p>
 250
 251 <p>&nbsp;</p>
 252
 253 <p># define &quot;Arithmetic1D&quot; hypothesis to cut an edge in several
 254  segments with arithmetic length increasing</p>
 255
 256 <p class="whs2">algo.Arithmetic1D(1,
 257  4)</p>
 258
 259 <p>&nbsp;</p>
 260
 261 <p># define &quot;Propagation&quot; hypothesis that propagates all other
 262  hypothesis on all edges on the opposite side in case of quadrangular faces</p>
 263
 264 <p class="whs2">algo.Propagation()</p>
 265
 266 <p>&nbsp;</p>
 267
 268 <p># compute the mesh</p>
 269
 270 <p class="whs2">hexa.Compute() </p>
 271
 272 <p class="whs2">&nbsp;</p>
 273
 274 <h4><a name=bookmark9>Deflection 1D and Number of Segments</a></h4>
 275
 276 <p class="whs2">&nbsp;</p>
 277
 278 <p class="whs2">import smesh</p>
 279
 280 <p class="whs2">import geompy</p>
 281
 282 <p class="whs2">import salome</p>
 283
 284 <p class="whs2">gg = salome.ImportComponentGUI(&quot;GEOM&quot;)</p>
 285
 286 <p class="whs2">&nbsp;</p>
 287
 288 <p class="whs3"># create vertices</p>
 289
 290 <p class="whs2">px &nbsp;&nbsp;=
 291  geompy.MakeVertex(100., 0. &nbsp;,
 292  0. &nbsp;)</p>
 293
 294 <p class="whs2">py &nbsp;&nbsp;=
 295  geompy.MakeVertex(0. &nbsp;,
 296  100., 0. &nbsp;)</p>
 297
 298 <p class="whs2">pz &nbsp;&nbsp;=
 299  geompy.MakeVertex(0. &nbsp;,
 300  0. &nbsp;, 100.)</p>
 301
 302 <p class="whs2">&nbsp;</p>
 303
 304 <p class="whs3"># create a vector from
 305  two points</p>
 306
 307 <p class="whs2">vxy = geompy.MakeVector(px,
 308  py)</p>
 309
 310 <p class="whs2">&nbsp;</p>
 311
 312 <p class="whs3"># create an arc from
 313  three points</p>
 314
 315 <p class="whs2">arc = geompy.MakeArc(py,
 316  pz, px)</p>
 317
 318 <p class="whs2">&nbsp;</p>
 319
 320 <p class="whs3"># create a wire</p>
 321
 322 <p class="whs2">wire = geompy.MakeWire([vxy,
 323  arc])</p>
 324
 325 <p class="whs2">isPlanarFace = 1</p>
 326
 327 <p class="whs2">&nbsp;</p>
 328
 329 <p class="whs3"># create a face from
 330  the wire</p>
 331
 332 <p class="whs2">face1 = geompy.MakeFace(wire,
 333  isPlanarFace)</p>
 334
 335 <p class="whs2">&nbsp;</p>
 336
 337 <p class="whs3"><span style="font-family: 'Times New Roman', serif;">#
 338  get edges from the face</span></p>
 339
 340 <p class="whs2">vxy,arc = geompy.SubShapeAll(face1,geompy.ShapeType[&quot;EDGE&quot;])</p>
 341
 342 <p class="whs3">&nbsp;</p>
 343
 344 <p class="whs3"># add objects in the
 345  study</p>
 346
 347 <p class="whs2">id_face1 = geompy.addToStudy(face1,&quot;Face1&quot;)</p>
 348
 349 <p class="whs2">id_arc = geompy.addToStudyInFather(face1,arc,&quot;Arc
 350  Edge&quot;)</p>
 351
 352 <p class="whs2">&nbsp;</p>
 353
 354 <p class="whs3"># display faces</p>
 355
 356 <p class="whs2">gg.createAndDisplayGO(id_face1)</p>
 357
 358 <p class="whs2">gg.setDisplayMode(id_face1,1)</p>
 359
 360 <p class="whs2">gg.setTransparency(id_face1,0.2)</p>
 361
 362 <p class="whs2">&nbsp;</p>
 363
 364 <p class="whs3"># create hexahedral mesh</p>
 365
 366 <p class="whs2">hexa = smesh.Mesh(face1,
 367  &quot;Face compound : hexahedrical mesh&quot;)</p>
 368
 369 <p class="whs2">algo = hexa.Triangle()</p>
 370
 371 <p class="whs2">&nbsp;</p>
 372
 373 <p class="whs3"># define &quot;MaxElementArea&quot;
 374  hypothesis</p>
 375
 376 <p class="whs2">algo.MaxElementArea(30)</p>
 377
 378 <p class="whs2">&nbsp;</p>
 379
 380 <p class="whs3"># create a local hypothesis
 381  on the wire</p>
 382
 383 <p class="whs2">algo = hexa.Segment(wire)</p>
 384
 385 <p class="whs2">&nbsp;</p>
 386
 387 <p class="whs3"># define &quot;NumberOfSegments&quot;
 388  hypothesis to cut a straight edge in a fixed number of segments</p>
 389
 390 <p class="whs2">algo.NumberOfSegments(6)</p>
 391
 392 <p class="whs2">&nbsp;</p>
 393
 394 <p class="whs3"># define a local &quot;Deflection1D&quot;
 395  hypothesis on the arc</p>
 396
 397 <p class="whs2">algo = hexa.Segment(arc)</p>
 398
 399 <p class="whs2">algo.Deflection1D(1)</p>
 400
 401 <p class="whs2">&nbsp;</p>
 402
 403 <p class="whs2">&nbsp;</p>
 404
 405 <p class="whs3"># compute the mesh</p>
 406
 407 <p class="whs2">hexa.Compute() </p>
 408
 409 <p>&nbsp;</p>
 410
 411 <h4><a name=bookmark2>Start and End Length</a></h4>
 412
 413 <p class="whs2">from geompy import
 414  *</p>
 415
 416 <p class="whs2">import smesh</p>
 417
 418 <p>&nbsp;</p>
 419
 420 <p># create vertices</p>
 421
 422 <p class="whs2">Point111 = MakeVertex(
 423  0, &nbsp;0, &nbsp;0)</p>
 424
 425 <p class="whs2">Point211 = MakeVertex(10,
 426  &nbsp;0, &nbsp;0)</p>
 427
 428 <p class="whs2">Point121 = MakeVertex(
 429  0, 10, &nbsp;0)</p>
 430
 431 <p class="whs2">Point221 = MakeVertex(10,
 432  10, &nbsp;0)</p>
 433
 434 <p class="whs2">Point112 = MakeVertex(
 435  0, &nbsp;0, 10)</p>
 436
 437 <p class="whs2">Point212 = MakeVertex(10,
 438  &nbsp;0, 10)</p>
 439
 440 <p class="whs2">Point122 = MakeVertex(
 441  0, 10, 10)</p>
 442
 443 <p class="whs2">Point222 = MakeVertex(10,
 444  10, 10)</p>
 445
 446 <p>&nbsp;</p>
 447
 448 <p># create edges</p>
 449
 450 <p class="whs2">EdgeX111 = MakeEdge(Point111,
 451  Point211)</p>
 452
 453 <p class="whs2">EdgeX121 = MakeEdge(Point121,
 454  Point221)</p>
 455
 456 <p class="whs2">EdgeX112 = MakeEdge(Point112,
 457  Point212)</p>
 458
 459 <p class="whs2">EdgeX122 = MakeEdge(Point122,
 460  Point222)</p>
 461
 462 <p class="whs2">EdgeY11 = MakeEdge(Point111,
 463  Point121)</p>
 464
 465 <p class="whs2">EdgeY21 = MakeEdge(Point211,
 466  Point221)</p>
 467
 468 <p class="whs2">EdgeY12 = MakeEdge(Point112,
 469  Point122)</p>
 470
 471 <p class="whs2">EdgeY22 = MakeEdge(Point212,
 472  Point222)</p>
 473
 474 <p class="whs2">EdgeZ111 = MakeEdge(Point111,
 475  Point112)</p>
 476
 477 <p class="whs2">EdgeZ211 = MakeEdge(Point211,
 478  Point212)</p>
 479
 480 <p class="whs2">EdgeZ121 = MakeEdge(Point121,
 481  Point122)</p>
 482
 483 <p class="whs2">EdgeZ221 = MakeEdge(Point221,
 484  Point222)</p>
 485
 486 <p>&nbsp;</p>
 487
 488 <p># create faces</p>
 489
 490 <p class="whs2">FaceX11 = MakeQuad(EdgeY11,
 491  EdgeZ111, EdgeY12, EdgeZ121)</p>
 492
 493 <p class="whs2">FaceX21 = MakeQuad(EdgeY21,
 494  EdgeZ211, EdgeY22, EdgeZ221)</p>
 495
 496 <p class="whs2">FaceY111 = MakeQuad(EdgeX111,
 497  EdgeZ111, EdgeX112, EdgeZ211)</p>
 498
 499 <p class="whs2">FaceY121 = MakeQuad(EdgeX121,
 500  EdgeZ121, EdgeX122, EdgeZ221)</p>
 501
 502 <p class="whs2">FaceZ11 = MakeQuad(EdgeX111,
 503  EdgeY11, EdgeX121, EdgeY21)</p>
 504
 505 <p class="whs2">FaceZ12 = MakeQuad(EdgeX112,
 506  EdgeY12, EdgeX122, EdgeY22)</p>
 507
 508 <p>&nbsp;</p>
 509
 510 <p># create a solid</p>
 511
 512 <p class="whs2">Block = MakeHexa(FaceX11,
 513  FaceX21, FaceY111, FaceY121, FaceZ11, FaceZ12)</p>
 514
 515 <p>&nbsp;</p>
 516
 517 <p># create a compound</p>
 518
 519 <p class="whs2">box = MakeCompound([Block])</p>
 520
 521 <p>&nbsp;</p>
 522
 523 <p># add in the study</p>
 524
 525 <p class="whs2">box_id = addToStudy(box,
 526  &quot;Box compound&quot;)</p>
 527
 528 <p>&nbsp;</p>
 529
 530 <p># create a hexahedral mesh on the box</p>
 531
 532 <p class="whs2">hexa = smesh.Mesh(box,
 533  &quot;Box compound : hexahedrical mesh&quot;)</p>
 534
 535 <p class="whs2">algo = hexa.Segment()</p>
 536
 537 <p>&nbsp;</p>
 538
 539 <p># define &quot;NumberOfSegments&quot; hypothesis to cut an edge in a
 540  fixed number of segments</p>
 541
 542 <p class="whs2">algo.NumberOfSegments(4)</p>
 543
 544 <p>&nbsp;</p>
 545
 546 <p># create a quadrangle 2D algorithm for faces</p>
 547
 548 <p class="whs2">hexa.Quadrangle()</p>
 549
 550 <p>&nbsp;</p>
 551
 552 <p># create a hexahedron 3D algorithm for solids</p>
 553
 554 <p class="whs2">hexa.Hexahedron()</p>
 555
 556 <p>&nbsp;</p>
 557
 558 <p># create a local hypothesis</p>
 559
 560 <p class="whs2">algo = hexa.Segment(EdgeX111)</p>
 561
 562 <p>&nbsp;</p>
 563
 564 <p># define &quot;StartEndLength&quot; hypothesis to cut an edge in several
 565  segments with increasing geometric length </p>
 566
 567 <p class="whs2">algo.StartEndLength(1,
 568  6)</p>
 569
 570 <p>&nbsp;</p>
 571
 572 <p># define &quot;Propagation&quot; hypothesis that propagates all other
 573  hypothesis on all edges on the opposite side in case of quadrangular faces</p>
 574
 575 <p class="whs2">algo.Propagation()</p>
 576
 577 <p>&nbsp;</p>
 578
 579 <p># compute the mesh</p>
 580
 581 <p class="whs2">hexa.Compute() </p>
 582
 583 <p class="whs2">&nbsp;</p>
 584
 585 <h4><a name=bookmark3>Average Length</a></h4>
 586
 587 <p class="whs2">from geompy import
 588  *</p>
 589
 590 <p class="whs2">import smesh</p>
 591
 592 <p class="whs2">&nbsp;</p>
 593
 594 <p class="whs3"># create vertices</p>
 595
 596 <p class="whs2">Point111 = MakeVertex(
 597  0, &nbsp;0, &nbsp;0)</p>
 598
 599 <p class="whs2">Point211 = MakeVertex(10,
 600  &nbsp;0, &nbsp;0)</p>
 601
 602 <p class="whs2">Point121 = MakeVertex(
 603  0, 10, &nbsp;0)</p>
 604
 605 <p class="whs2">Point221 = MakeVertex(10,
 606  10, &nbsp;0)</p>
 607
 608 <p class="whs2">Point112 = MakeVertex(
 609  0, &nbsp;0, 10)</p>
 610
 611 <p class="whs2">Point212 = MakeVertex(10,
 612  &nbsp;0, 10)</p>
 613
 614 <p class="whs2">Point122 = MakeVertex(
 615  0, 10, 10)</p>
 616
 617 <p class="whs2">Point222 = MakeVertex(10,
 618  10, 10)</p>
 619
 620 <p class="whs2">&nbsp;</p>
 621
 622 <p class="whs3"># create edges</p>
 623
 624 <p class="whs2">EdgeX111 = MakeEdge(Point111,
 625  Point211)</p>
 626
 627 <p class="whs2">EdgeX121 = MakeEdge(Point121,
 628  Point221)</p>
 629
 630 <p class="whs2">EdgeX112 = MakeEdge(Point112,
 631  Point212)</p>
 632
 633 <p class="whs2">EdgeX122 = MakeEdge(Point122,
 634  Point222)</p>
 635
 636 <p class="whs2">EdgeY11 = MakeEdge(Point111,
 637  Point121)</p>
 638
 639 <p class="whs2">EdgeY21 = MakeEdge(Point211,
 640  Point221)</p>
 641
 642 <p class="whs2">EdgeY12 = MakeEdge(Point112,
 643  Point122)</p>
 644
 645 <p class="whs2">EdgeY22 = MakeEdge(Point212,
 646  Point222)</p>
 647
 648 <p class="whs2">EdgeZ111 = MakeEdge(Point111,
 649  Point112)</p>
 650
 651 <p class="whs2">EdgeZ211 = MakeEdge(Point211,
 652  Point212)</p>
 653
 654 <p class="whs2">EdgeZ121 = MakeEdge(Point121,
 655  Point122)</p>
 656
 657 <p class="whs2">EdgeZ221 = MakeEdge(Point221,
 658  Point222)</p>
 659
 660 <p class="whs2">&nbsp;</p>
 661
 662 <p class="whs3"># create faces</p>
 663
 664 <p class="whs2">FaceX11 = MakeQuad(EdgeY11,
 665  EdgeZ111, EdgeY12, EdgeZ121)</p>
 666
 667 <p class="whs2">FaceX21 = MakeQuad(EdgeY21,
 668  EdgeZ211, EdgeY22, EdgeZ221)</p>
 669
 670 <p class="whs2">FaceY111 = MakeQuad(EdgeX111,
 671  EdgeZ111, EdgeX112, EdgeZ211)</p>
 672
 673 <p class="whs2">FaceY121 = MakeQuad(EdgeX121,
 674  EdgeZ121, EdgeX122, EdgeZ221)</p>
 675
 676 <p class="whs2">FaceZ11 = MakeQuad(EdgeX111,
 677  EdgeY11, EdgeX121, EdgeY21)</p>
 678
 679 <p class="whs2">FaceZ12 = MakeQuad(EdgeX112,
 680  EdgeY12, EdgeX122, EdgeY22)</p>
 681
 682 <p class="whs2">&nbsp;</p>
 683
 684 <p class="whs3"># create a solid</p>
 685
 686 <p class="whs2">Block = MakeHexa(FaceX11,
 687  FaceX21, FaceY111, FaceY121, FaceZ11, FaceZ12)</p>
 688
 689 <p class="whs2">&nbsp;</p>
 690
 691 <p class="whs3"># create a compound</p>
 692
 693 <p class="whs2">box = MakeCompound([Block])</p>
 694
 695 <p class="whs2">&nbsp;</p>
 696
 697 <p class="whs3"># add in the study</p>
 698
 699 <p class="whs2">box_id = addToStudy(box,
 700  &quot;Box compound&quot;)</p>
 701
 702 <p class="whs2">&nbsp;</p>
 703
 704 <p class="whs3"># create a hexahedral
 705  mesh on the box</p>
 706
 707 <p class="whs2">hexa = smesh.Mesh(box,
 708  &quot;Box compound : hexahedrical mesh&quot;)</p>
 709
 710 <p class="whs2">algo = hexa.Segment()</p>
 711
 712 <p class="whs2">&nbsp;</p>
 713
 714 <p class="whs3"># define &quot;NumberOfSegments&quot;
 715  hypothesis to cut an edge in a fixed number of segments</p>
 716
 717 <p class="whs2">algo.NumberOfSegments(4)</p>
 718
 719 <p class="whs2">&nbsp;</p>
 720
 721 <p class="whs3"># create a quadrangle
 722  2D algorithm for faces</p>
 723
 724 <p class="whs2">hexa.Quadrangle()</p>
 725
 726 <p class="whs2">&nbsp;</p>
 727
 728 <p class="whs3"># create a hexahedron
 729  3D algorithm for solids</p>
 730
 731 <p class="whs2">hexa.Hexahedron()</p>
 732
 733 <p class="whs2">&nbsp;</p>
 734
 735 <p class="whs3"># create a local hypothesis</p>
 736
 737 <p class="whs2">algo = hexa.Segment(EdgeX111)</p>
 738
 739 <p class="whs2">&nbsp;</p>
 740
 741 <p class="whs3"># define &quot;LocalLength&quot;
 742  hypothesis to cut an edge in several segments with the same length</p>
 743
 744 <p class="whs2">algo.LocalLength(2)</p>
 745
 746 <p class="whs2">&nbsp;</p>
 747
 748 <p class="whs3"># define &quot;Propagation&quot;
 749  hypothesis that propagates all other hypothesis on all edges on<span style="font-family: 'Times New Roman', serif;">
 750  the opposite side in case of quadrangular faces</span></p>
 751
 752 <p class="whs2">algo.Propagation()</p>
 753
 754 <p class="whs2">&nbsp;</p>
 755
 756 <p class="whs3"># compute the mesh</p>
 757
 758 <p class="whs2">hexa.Compute() </p>
 759
 760 <p class="whs2">&nbsp;</p>
 761
 762 <p class="whs2">&nbsp;</p>
 763
 764 <h3>Defining 2D and 3D hypotheses</h3>
 765
 766 <h4><a name=bookmark4>Maximum Element Area</a></h4>
 767
 768 <p class="whs4"><span style="font-family: 'Lucida Console', monospace;">import
 769  smesh</span></p>
 770
 771 <p class="whs4">import geompy</p>
 772
 773 <p class="whs4">import salome</p>
 774
 775 <p class="whs4">&nbsp;</p>
 776
 777 <p class="whs5"># create a face</p>
 778
 779 <p class="whs4">px &nbsp;&nbsp;=
 780  geompy.MakeVertex(100., 0. &nbsp;,
 781  0. &nbsp;)</p>
 782
 783 <p class="whs4">py &nbsp;&nbsp;=
 784  geompy.MakeVertex(0. &nbsp;,
 785  100., 0. &nbsp;)</p>
 786
 787 <p class="whs4">pz &nbsp;&nbsp;=
 788  geompy.MakeVertex(0. &nbsp;,
 789  0. &nbsp;, 100.)</p>
 790
 791 <p class="whs4">&nbsp;</p>
 792
 793 <p class="whs4">vxy = geompy.MakeVector(px,
 794  py)</p>
 795
 796 <p class="whs4">arc = geompy.MakeArc(py,
 797  pz, px)</p>
 798
 799 <p class="whs4">wire = geompy.MakeWire([vxy,
 800  arc])</p>
 801
 802 <p class="whs4">&nbsp;</p>
 803
 804 <p class="whs4">isPlanarFace = 1</p>
 805
 806 <p class="whs4">face = geompy.MakeFace(wire,
 807  isPlanarFace)</p>
 808
 809 <p class="whs4">&nbsp;</p>
 810
 811 <p class="whs5"># add the face in the
 812  study</p>
 813
 814 <p class="whs4">id_face = geompy.addToStudy(face,
 815  &quot;Face to be meshed&quot;)</p>
 816
 817 <p class="whs4">&nbsp;</p>
 818
 819 <p class="whs5"># create a mesh</p>
 820
 821 <p class="whs4">tria_mesh = smesh.Mesh(face,
 822  &quot;Face : triangulation&quot;)</p>
 823
 824 <p class="whs4">&nbsp;</p>
 825
 826 <p class="whs5"># define 1D meshing:</p>
 827
 828 <p class="whs4">algo = tria_mesh.Segment()</p>
 829
 830 <p class="whs4">algo.NumberOfSegments(20)</p>
 831
 832 <p class="whs4">&nbsp;</p>
 833
 834 <p class="whs5"># define 2D meshing:</p>
 835
 836 <p class="whs5">&nbsp;</p>
 837
 838 <p class="whs5"># assign triangulation
 839  algorithm</p>
 840
 841 <p class="whs4">algo = tria_mesh.Triangle()</p>
 842
 843 <p class="whs4">&nbsp;</p>
 844
 845 <p class="whs5"># apply &quot;Max Element
 846  Area&quot; hypothesis to each triangle</p>
 847
 848 <p class="whs4">algo.MaxElementArea(100)</p>
 849
 850 <p class="whs4">&nbsp;</p>
 851
 852 <p class="whs5"># compute the mesh</p>
 853
 854 <p class="whs4">tria_mesh.Compute()
 855  &nbsp;</p>
 856
 857 <p class="whs4">&nbsp;</p>
 858
 859 <h4><a name=bookmark5>Maximum Element Volume</a></h4>
 860
 861 <p class="whs4"><span style="font-family: 'Lucida Console', monospace;">import
 862  salome</span></p>
 863
 864 <p class="whs4">import geompy</p>
 865
 866 <p class="whs4">import StdMeshers</p>
 867
 868 <p class="whs4">import NETGENPlugin</p>
 869
 870 <p class="whs4">&nbsp;</p>
 871
 872 <p class="whs4">smesh = salome.lcc.FindOrLoadComponent(&quot;FactoryServer&quot;,
 873  &quot;SMESH&quot;)</p>
 874
 875 <p class="whs4">smeshgui = salome.ImportComponentGUI(&quot;SMESH&quot;)</p>
 876
 877 <p class="whs4">smeshgui.Init(salome.myStudyId);</p>
 878
 879 <p class="whs4">&nbsp;</p>
 880
 881 <p class="whs5"># create a box</p>
 882
 883 <p class="whs4">box = geompy.MakeCylinderRH(30,
 884  50) #MakeBox(0., 0., 0., </p>
 885
 886 <p class="whs4">100., 200., 300.)</p>
 887
 888 <p class="whs4">&nbsp;</p>
 889
 890 <p class="whs5"># add the box in the
 891  study</p>
 892
 893 <p class="whs4">idbox = geompy.addToStudy(box,
 894  &quot;box&quot;)</p>
 895
 896 <p class="whs4">&nbsp;</p>
 897
 898 <p class="whs5"># create a set of hypotheses</p>
 899
 900 <p class="whs5">&nbsp;</p>
 901
 902 <p class="whs5"># Number of Segments</p>
 903
 904 <p class="whs4">numberOfSegments
 905  = 7</p>
 906
 907 <p class="whs4">hypNbSeg = smesh.CreateHypothesis(&quot;NumberOfSegments&quot;,
 908  &quot;libStdMeshersEngine.so&quot;)</p>
 909
 910 <p class="whs4">hypNbSeg.SetNumberOfSegments(numberOfSegments)</p>
 911
 912 <p class="whs4">print hypNbSeg.GetName()</p>
 913
 914 <p class="whs4">print hypNbSeg.GetNumberOfSegments()</p>
 915
 916 <p class="whs4">smeshgui.SetName(salome.ObjectToID(hypNbSeg),
 917  &quot;NumberOfSegments_7&quot;)</p>
 918
 919 <p class="whs4">&nbsp;</p>
 920
 921 <p class="whs5"># Max Element Area</p>
 922
 923 <p class="whs4">maxElementArea =
 924  800</p>
 925
 926 <p class="whs4">hypArea = smesh.CreateHypothesis(&quot;MaxElementArea&quot;,
 927  &quot;libStdMeshersEngine.so&quot;)</p>
 928
 929 <p class="whs4">hypArea.SetMaxElementArea(maxElementArea)</p>
 930
 931 <p class="whs4">print hypArea.GetName()</p>
 932
 933 <p class="whs4">print hypArea.GetMaxElementArea()</p>
 934
 935 <p class="whs4">smeshgui.SetName(salome.ObjectToID(hypArea),
 936  &quot;MaxElementArea_800&quot;)</p>
 937
 938 <p class="whs4">&nbsp;</p>
 939
 940 <p class="whs5"># Max Element Volume</p>
 941
 942 <p class="whs4">maxElementVolume
 943  = 900</p>
 944
 945 <p class="whs4">hypVolume = smesh.CreateHypothesis(&quot;MaxElementVolume&quot;,
 946  &quot;libStdMeshersEngine.so&quot;)</p>
 947
 948 <p class="whs4">hypVolume.SetMaxElementVolume(maxElementVolume)</p>
 949
 950 <p class="whs4">print hypVolume.GetName()</p>
 951
 952 <p class="whs4">print hypVolume.GetMaxElementVolume()</p>
 953
 954 <p class="whs4">smeshgui.SetName(salome.ObjectToID(hypVolume),
 955  &quot;MaxElementVolume_900&quot;)</p>
 956
 957 <p class="whs4">&nbsp;</p>
 958
 959 <p class="whs5"># create a set of algorithms</p>
 960
 961 <p class="whs5">&nbsp;</p>
 962
 963 <p class="whs5"># Regular_1D</p>
 964
 965 <p class="whs4">regular1D = smesh.CreateHypothesis(&quot;Regular_1D&quot;,
 966  &quot;libStdMeshersEngine.so&quot;)</p>
 967
 968 <p class="whs4">smeshgui.SetName(salome.ObjectToID(regular1D),
 969  &quot;Wire Discretisation&quot;)</p>
 970
 971 <p class="whs4">&nbsp;</p>
 972
 973 <p class="whs5"># MEFISTO_2D</p>
 974
 975 <p class="whs4">mefisto2D = smesh.CreateHypothesis(&quot;MEFISTO_2D&quot;,
 976  &quot;libStdMeshersEngine.so&quot;)</p>
 977
 978 <p class="whs4">smeshgui.SetName(salome.ObjectToID(mefisto2D),
 979  &quot;MEFISTO_2D&quot;)</p>
 980
 981 <p class="whs4">&nbsp;</p>
 982
 983 <p class="whs5"># NETGEN_3D (Tetrahedron
 984  meshing algorithm)</p>
 985
 986 <p class="whs4">tetra3D = smesh.CreateHypothesis(&quot;NETGEN_3D&quot;,
 987  &quot;libNETGENEngine.so&quot;)</p>
 988
 989 <p class="whs4">smeshgui.SetName(salome.ObjectToID(tetra3D),
 990  &quot;NETGEN_3D&quot;)</p>
 991
 992 <p class="whs4">&nbsp;</p>
 993
 994 <p class="whs5"># initialize a mesh
 995  with the box</p>
 996
 997 <p class="whs4">mesh = smesh.CreateMesh(box)</p>
 998
 999 <p class="whs4">smeshgui.SetName(salome.ObjectToID(mesh),
1000  &quot;MeshBox&quot;)</p>
1001
1002 <p class="whs4">&nbsp;</p>
1003
1004 <p class="whs5"># add hypotheses and
1005  algorithms to the box</p>
1006
1007 <p class="whs4">mesh.AddHypothesis(box,hypNbSeg)</p>
1008
1009 <p class="whs4">mesh.AddHypothesis(box,hypArea)</p>
1010
1011 <p class="whs4">mesh.AddHypothesis(box,hypVolume)</p>
1012
1013 <p class="whs4">mesh.AddHypothesis(box,regular1D)</p>
1014
1015 <p class="whs4">mesh.AddHypothesis(box,mefisto2D)</p>
1016
1017 <p class="whs4">mesh.AddHypothesis(box,tetra3D)</p>
1018
1019 <p class="whs4">&nbsp;</p>
1020
1021 <p class="whs5"># compute the mesh</p>
1022
1023 <p class="whs4">ret = smesh.Compute(mesh,box)</p>
1024
1025 <p class="whs4">if ret == 0:</p>
1026
1027 <p class="whs4">&nbsp;&nbsp;&nbsp;&nbsp;print
1028  &quot;probleme when computing the mesh&quot;</p>
1029
1030 <p class="whs4">else:</p>
1031
1032 <p class="whs4">&nbsp;&nbsp;&nbsp;&nbsp;print
1033  &quot;Computation succeded&quot;</p>
1034
1035 <p class="whs4">salome.sg.updateObjBrowser(1)
1036  </p>
1037
1038 <p class="whs4">&nbsp;</p>
1039
1040 <h4><a name=bookmark6>Length from Edges</a></h4>
1041
1042 <p class="whs2"><span style="font-family: 'Lucida Console', monospace;">import
1043  salome</span></p>
1044
1045 <p class="whs2">import geompy</p>
1046
1047 <p class="whs2">import smesh</p>
1048
1049 <p class="whs2">&nbsp;</p>
1050
1051 <p class="whs3"># create sketchers</p>
1052
1053 <p class="whs2">sketcher1 = geompy.MakeSketcher(&quot;Sketcher:F
1054  0 0:TT 70 0:TT 70 70:TT 0 70:WW&quot;)</p>
1055
1056 <p class="whs2">sketcher2 = geompy.MakeSketcher(&quot;Sketcher:F
1057  20 20:TT 50 20:TT 50 50:TT 20 50:WW&quot;)</p>
1058
1059 <p class="whs2">isPlanarFace = 1</p>
1060
1061 <p class="whs2">&nbsp;</p>
1062
1063 <p class="whs3"># create a face from
1064  two wires</p>
1065
1066 <p class="whs2">face1 = geompy.MakeFaces([sketcher1,
1067  sketcher2],isPlanarFace)</p>
1068
1069 <p class="whs2">&nbsp;</p>
1070
1071 <p class="whs3"># add object in the study</p>
1072
1073 <p class="whs2">id_face1 = geompy.addToStudy(face1,&quot;Face1&quot;)</p>
1074
1075 <p class="whs2">&nbsp;</p>
1076
1077 <p class="whs3"># create a mesh</p>
1078
1079 <p class="whs2">tria = smesh.Mesh(face1,
1080  &quot;Face : triangle 2D mesh&quot;)</p>
1081
1082 <p class="whs2">&nbsp;</p>
1083
1084 <p class="whs3"># Define 1D meshing</p>
1085
1086 <p class="whs2">algo = tria.Segment()</p>
1087
1088 <p class="whs2">algo.NumberOfSegments(2)</p>
1089
1090 <p class="whs2">&nbsp;</p>
1091
1092 <p class="whs3"># create and assign the
1093  algorithm for 2D meshing with triangles</p>
1094
1095 <p class="whs2">algo = tria.Triangle()</p>
1096
1097 <p class="whs2">&nbsp;</p>
1098
1099 <p class="whs3"># create and assign &quot;LengthFromEdges&quot;
1100  hypothesis to build triangles </p>
1101
1102 <p class="whs3"># based on the length
1103  of the edges taken from the wire</p>
1104
1105 <p class="whs2">algo.LengthFromEdges()</p>
1106
1107 <p class="whs2">&nbsp;</p>
1108
1109 <p class="whs3"># compute the mesh</p>
1110
1111 <p class="whs2">tria.Compute() </p>
1112
1113 <p class="whs2">&nbsp;</p>
1114
1115 <h3>Defining Additional Hypotheses</h3>
1116
1117 <h4><a name=bookmark7>Propagation</a></h4>
1118
1119 <p class="whs2"><span style="font-family: 'Lucida Console', monospace;">from
1120  geompy import *</span></p>
1121
1122 <p class="whs2">import smesh</p>
1123
1124 <p class="whs2">&nbsp;</p>
1125
1126 <p class="whs3"># create vertices</p>
1127
1128 <p class="whs2">Point111 = MakeVertex(
1129  0, &nbsp;0, &nbsp;0)</p>
1130
1131 <p class="whs2">Point211 = MakeVertex(10,
1132  &nbsp;0, &nbsp;0)</p>
1133
1134 <p class="whs2">Point121 = MakeVertex(
1135  0, 10, &nbsp;0)</p>
1136
1137 <p class="whs2">Point221 = MakeVertex(10,
1138  10, &nbsp;0)</p>
1139
1140 <p class="whs2">Point112 = MakeVertex(
1141  0, &nbsp;0, 10)</p>
1142
1143 <p class="whs2">Point212 = MakeVertex(10,
1144  &nbsp;0, 10)</p>
1145
1146 <p class="whs2">Point122 = MakeVertex(
1147  0, 10, 10)</p>
1148
1149 <p class="whs2">Point222 = MakeVertex(10,
1150  10, 10)</p>
1151
1152 <p class="whs2">&nbsp;</p>
1153
1154 <p class="whs3"># create edges</p>
1155
1156 <p class="whs2">EdgeX111 = MakeEdge(Point111,
1157  Point211)</p>
1158
1159 <p class="whs2">EdgeX121 = MakeEdge(Point121,
1160  Point221)</p>
1161
1162 <p class="whs2">EdgeX112 = MakeEdge(Point112,
1163  Point212)</p>
1164
1165 <p class="whs2">EdgeX122 = MakeEdge(Point122,
1166  Point222)</p>
1167
1168 <p class="whs2">EdgeY11 = MakeEdge(Point111,
1169  Point121)</p>
1170
1171 <p class="whs2">EdgeY21 = MakeEdge(Point211,
1172  Point221)</p>
1173
1174 <p class="whs2">EdgeY12 = MakeEdge(Point112,
1175  Point122)</p>
1176
1177 <p class="whs2">EdgeY22 = MakeEdge(Point212,
1178  Point222)</p>
1179
1180 <p class="whs2">EdgeZ111 = MakeEdge(Point111,
1181  Point112)</p>
1182
1183 <p class="whs2">EdgeZ211 = MakeEdge(Point211,
1184  Point212)</p>
1185
1186 <p class="whs2">EdgeZ121 = MakeEdge(Point121,
1187  Point122)</p>
1188
1189 <p class="whs2">EdgeZ221 = MakeEdge(Point221,
1190  Point222)</p>
1191
1192 <p class="whs2">&nbsp;</p>
1193
1194 <p class="whs3"># create faces</p>
1195
1196 <p class="whs2">FaceX11 = MakeQuad(EdgeY11,
1197  EdgeZ111, EdgeY12, EdgeZ121)</p>
1198
1199 <p class="whs2">FaceX21 = MakeQuad(EdgeY21,
1200  EdgeZ211, EdgeY22, EdgeZ221)</p>
1201
1202 <p class="whs2">FaceY111 = MakeQuad(EdgeX111,
1203  EdgeZ111, EdgeX112, EdgeZ211)</p>
1204
1205 <p class="whs2">FaceY121 = MakeQuad(EdgeX121,
1206  EdgeZ121, EdgeX122, EdgeZ221)</p>
1207
1208 <p class="whs2">FaceZ11 = MakeQuad(EdgeX111,
1209  EdgeY11, EdgeX121, EdgeY21)</p>
1210
1211 <p class="whs2">FaceZ12 = MakeQuad(EdgeX112,
1212  EdgeY12, EdgeX122, EdgeY22)</p>
1213
1214 <p class="whs2">&nbsp;</p>
1215
1216 <p class="whs3"># create a solid</p>
1217
1218 <p class="whs2">box = MakeHexa(FaceX11,
1219  FaceX21, FaceY111, FaceY121, FaceZ11, FaceZ12)</p>
1220
1221 <p class="whs2">&nbsp;</p>
1222
1223 <p class="whs3"># add in the study</p>
1224
1225 <p class="whs2">box_id = addToStudy(box,
1226  &quot;Box&quot;)</p>
1227
1228 <p class="whs2">&nbsp;</p>
1229
1230 <p class="whs3"># create a hexahedral
1231  mesh on the box</p>
1232
1233 <p class="whs2">hexa = smesh.Mesh(box,
1234  &quot;Box : hexahedrical mesh&quot;)</p>
1235
1236 <p class="whs2">&nbsp;</p>
1237
1238 <p class="whs3"># create an 1D algorithm
1239  for edges</p>
1240
1241 <p class="whs2">algo = hexa.Segment()</p>
1242
1243 <p class="whs2">&nbsp;</p>
1244
1245 <p class="whs3"># define &quot;NumberOfSegments&quot;
1246  hypothesis to cut an edge in a fixed number of segments</p>
1247
1248 <p class="whs2">algo.NumberOfSegments(4)</p>
1249
1250 <p class="whs2">&nbsp;</p>
1251
1252 <p class="whs3"># create a quadrangle
1253  2D algorithm for faces</p>
1254
1255 <p class="whs2">hexa.Quadrangle()</p>
1256
1257 <p class="whs2">&nbsp;</p>
1258
1259 <p class="whs3"># create a hexahedron
1260  3D algorithm for solids</p>
1261
1262 <p class="whs2">hexa.Hexahedron()</p>
1263
1264 <p class="whs2">&nbsp;</p>
1265
1266 <p class="whs3"># create a local hypothesis</p>
1267
1268 <p class="whs2">algo = hexa.Segment(EdgeX111)</p>
1269
1270 <p class="whs2">&nbsp;</p>
1271
1272 <p class="whs3"># define &quot;Arithmetic1D&quot;
1273  hypothesis to cut an edge<span style="font-family: 'Times New Roman', serif;">
1274  in several segments with increasing length</span></p>
1275
1276 <p class="whs2">algo.Arithmetic1D(1,
1277  4)</p>
1278
1279 <p class="whs2">&nbsp;</p>
1280
1281 <p class="whs3"># define &quot;Propagation&quot;
1282  hypothesis that propagates all other 1D hypotheses</p>
1283
1284 <p class="whs3"># from all edges on the
1285  opposite side of a face in case of quadrangular faces</p>
1286
1287 <p class="whs2">algo.Propagation()</p>
1288
1289 <p class="whs2">&nbsp;</p>
1290
1291 <p class="whs3"># compute the mesh</p>
1292
1293 <p class="whs2">hexa.Compute() &nbsp;</p>
1294
1295 <h3><a name=bookmark8>Defining Meshing Algorithms</a></h3>
1296
1297 <p class="whs4"><span style="font-family: 'Lucida Console', monospace;">import
1298  salome</span></p>
1299
1300 <p class="whs4">import StdMeshers</p>
1301
1302 <p class="whs4">import NETGENPlugin</p>
1303
1304 <p class="whs4">&nbsp;</p>
1305
1306 <p class="whs4">smesh = salome.lcc.FindOrLoadComponent(&quot;FactoryServer&quot;,
1307  &quot;SMESH&quot;)</p>
1308
1309 <p class="whs4">smeshgui = salome.ImportComponentGUI(&quot;SMESH&quot;)</p>
1310
1311 <p class="whs4">smeshgui.Init(salome.myStudyId);</p>
1312
1313 <p class="whs6">&nbsp;</p>
1314
1315 <p class="whs6"># create algorithms</p>
1316
1317 <p class="whs4">print &quot;--------------------------
1318  create Algorithms&quot;</p>
1319
1320 <p class="whs4">print &quot;--------------------------
1321  Regular_1D (Wire discretisation)&quot;</p>
1322
1323 <p class="whs4">regular1D = smesh.CreateHypothesis(&quot;Regular_1D&quot;,
1324  &quot;libStdMeshersEngine.so&quot;)</p>
1325
1326 <p class="whs4">smeshgui.SetName(salome.ObjectToID(regular1D),
1327  &quot;Wire Discretisation&quot;)</p>
1328
1329 <p class="whs4">&nbsp;</p>
1330
1331 <p class="whs4">print &quot;--------------------------
1332  MEFISTO_2D (Triangle meshing algorithm)&quot;</p>
1333
1334 <p class="whs4">mefisto2D = smesh.CreateHypothesis(&quot;MEFISTO_2D&quot;,
1335  &quot;libStdMeshersEngine.so&quot;)</p>
1336
1337 <p class="whs4">smeshgui.SetName(salome.ObjectToID(mefisto2D),
1338  &quot;MEFISTO_2D&quot;)</p>
1339
1340 <p class="whs4">&nbsp;</p>
1341
1342 <p class="whs4">print &quot;--------------------------
1343  Quadrangle_2D (Quadrangle meshing algorithm)&quot;</p>
1344
1345 <p class="whs4">quad2D = smesh.CreateHypothesis(
1346  &quot;Quadrangle_2D&quot;, &quot;libStdMeshersEngine.so&quot; )</p>
1347
1348 <p class="whs4">smeshgui.SetName(salome.ObjectToID(quad2D),
1349  &quot;Quadrangle_2D&quot;)</p>
1350
1351 <p class="whs4">&nbsp;</p>
1352
1353 <p class="whs4">print &quot;--------------------------
1354  Hexa_3D (Hexahedron meshing algorithm)&quot;</p>
1355
1356 <p class="whs4">hexa3D = smesh.CreateHypothesis(&quot;Hexa_3D&quot;,
1357  &quot;libStdMeshersEngine.so&quot;)</p>
1358
1359 <p class="whs4">smeshgui.SetName(salome.ObjectToID(hexa3D),
1360  &quot;HEXA_3D&quot;)</p>
1361
1362 <p class="whs4">&nbsp;</p>
1363
1364 <p class="whs4">print &quot;--------------------------
1365  NETGEN_3D (Tetrahedron meshing algorithm)&quot;</p>
1366
1367 <p class="whs4">netgen3D = smesh.CreateHypothesis(&quot;NETGEN_3D&quot;,
1368  &quot;libNETGENEngine.so&quot;)</p>
1369
1370 <p class="whs4">smeshgui.SetName(salome.ObjectToID(netgen3D),
1371  &quot;NETGEN_3D&quot;)</p>
1372
1373 <p class="whs4">salome.sg.updateObjBrowser(1)</p>
1374
1375 <p class="whs6">&nbsp;</p>
1376
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