[Gmsh] Node ordering for quadratic elements

[Kris Van den Abeele]

Hi,

My name is Kris Van den Abeele, I am a PhD student at VUB (research
group of Prof Lacor). I am working on the development high-order
Spectral Volume and Spectral Difference methods, which I implement in
the VKI COOLFluiD code. I've been using Gmsh (Version 2.0.8, on Linux)
as a mesh generator for a long time now and I am very happy with it.

Lately, I've been creating meshes consisting of quadratic (27 nodes)
hexahedral elements, and I've encountered a problem. On the website, I
have not found the order in which the nodes of such a quadratic
hexahedron are written to the mesh file. I have two different meshes,
and it seems that for two different meshes, the order in which the nodes
are outputted differs (more specifically for the nodes that lie in the
center of a face).

In attachment, I have included the .geo and .msh (Version 1.0) files
corresponding to the two meshes.

Could you have a look at this, or maybe send me the order in which the
nodes are outputted?

Thanks in advance!
Best regards,
Kris Van den Abeele


-- 
Ir. Kris Van den Abeele

FWO Research Engineer

Vrije Universiteit Brussel

Dept. of Mechanical Engineering
 
Fluid Mechanics and Thermodynamics Research Group
 
Pleinlaan 2, 1050 Brussels, Belgium
 
Tel. : 02/629.23.99
 
Fax : 02/629.28.80
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nbrPointsCyl = 11;
nbrPointsFar = 4*nbrPointsCyl;
radiusCyl = 0.5;
radiusFar = 20;
progPar = 1.5;
nbrPointsRad = 11;
charLengthCyl = 2.0*Pi*radiusCyl/nbrPointsCyl/4;
charLengthFar = 2.0*Pi*radiusFar/nbrPointsFar;

// Define points
pCenter = newp; Point(pCenter) = {0.0,0.0,0.0,charLengthCyl};
pCentFF = newp; Point(pCentFF) = {0.0,0.0,0.0,charLengthCyl};

pCyl1 = newp; Point(pCyl1) = {+radiusCyl,0.0,0.0,charLengthCyl};
pCyl2 = newp; Point(pCyl2) = {-radiusCyl,0.0,0.0,charLengthCyl};

pFar1 = newp; Point(pFar1) = {+radiusFar,0.0,0.0,charLengthFar};
pFar2 = newp; Point(pFar2) = {-radiusFar,0.0,0.0,charLengthFar};

// define lines
radLin1 = newl; Line(radLin1) = {pCyl1,pFar1};
radLin2 = newl; Line(radLin2) = {pCyl2,pFar2};

arcCyl1 = newl; Circle(arcCyl1) = {pCyl1,pCenter,pCyl2};

arcFar1 = newl; Circle(arcFar1) = {pFar1,pCentFF,pFar2};

// define line loops
ll1 = newl; Line Loop(ll1) = {-arcCyl1,-radLin2,arcFar1,radLin1};

// define surfaces
sur1 = news; Plane Surface(sur1) = {ll1};

// define transfinite lines
Transfinite Line{radLin1,radLin2} = nbrPointsRad Using Progression progPar;
Transfinite Line{arcCyl1} = nbrPointsCyl Using Bump 1.0;
Transfinite Line{arcFar1} = nbrPointsCyl Using Bump 1.0;

// define transfinite surfaces
Transfinite Surface{sur1} = {pCyl1,pCyl2,pFar2,pFar1};

// define recombine surfaces
Recombine Surface{sur1};

// mesh smoothing
Mesh.Smoothing = 100;

// extrude the surface
vol1[] = Extrude {0,0,1.0} { Surface{sur1}; Layers{ {2}, {1} };  Recombine;};

// define physical regions
Physical Surface(29) = {15};// cylinder
Physical Surface(30) = {23};// far field
Physical Surface(31) = {19,27};// symmetry
Physical Surface(32) = {6};// left
Physical Surface(33) = {28};// right
Physical Volume(34) = {vol1[1]};// volume
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$ENDNOD
$ELM
480
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289 12 34 1 27 177 176 12 13 1127 1126 594 595 267 266 1248 263 1237 22 615 620 1249 1250 1239 621 268 1241 622 1251 1252 1253 1254
290 12 34 1 27 1127 1126 594 595 766 765 107 108 1249 1250 1255 1239 1244 621 618 623 856 855 852 117 1253 1246 624 1256 1257 857 1258
291 12 34 1 27 178 177 13 14 1128 1127 595 596 270 269 1259 266 1248 23 620 625 1260 1261 1250 626 271 1252 627 1262 1263 1264 1265
292 12 34 1 27 1128 1127 595 596 767 766 108 109 1260 1261 1266 1250 1255 626 623 628 859 858 855 118 1264 1257 629 1267 1268 860 1269
293 12 34 1 27 179 178 14 15 1129 1128 596 597 273 272 1270 269 1259 24 625 630 1271 1272 1261 631 274 1263 632 1273 1274 1275 1276
294 12 34 1 27 1129 1128 596 597 768 767 109 110 1271 1272 1277 1261 1266 631 628 633 862 861 858 119 1275 1268 634 1278 1279 863 1280
295 12 34 1 27 180 179 15 16 1130 1129 597 598 276 275 1281 272 1270 25 630 635 1282 1283 1272 636 277 1274 637 1284 1285 1286 1287
296 12 34 1 27 1130 1129 597 598 769 768 110 111 1282 1283 1288 1272 1277 636 633 638 865 864 861 120 1286 1279 639 1289 1290 866 1291
297 12 34 1 27 181 180 16 17 1131 1130 598 599 279 278 1292 275 1281 26 635 640 1293 1294 1283 641 280 1285 642 1295 1296 1297 1298
298 12 34 1 27 1131 1130 598 599 770 769 111 112 1293 1294 1299 1283 1288 641 638 643 868 867 864 121 1297 1290 644 1300 1301 869 1302
299 12 34 1 27 66 181 17 3 648 1131 599 167 281 75 657 278 1292 27 640 168 1303 658 1294 645 282 1296 646 1304 659 1305 1306
300 12 34 1 27 648 1131 599 167 123 770 112 7 1303 658 660 1294 1299 645 643 169 870 132 867 122 1305 1301 647 1307 661 871 1308
301 12 34 1 27 182 48 47 173 1132 535 534 1123 284 283 1309 57 549 255 544 1204 1310 1311 548 1205 285 550 1207 1312 1313 1314 1315
302 12 34 1 27 1132 535 534 1123 771 92 93 762 1310 1311 1316 548 551 1205 546 1211 873 872 102 844 1314 552 1212 1317 1318 874 1319
303 12 34 1 27 183 182 173 174 1133 1132 1123 1124 287 286 1320 283 1309 258 1204 1215 1321 1322 1311 1216 288 1313 1218 1323 1324 1325 1326
304 12 34 1 27 1133 1132 1123 1124 772 771 762 763 1321 1322 1327 1311 1316 1216 1211 1222 876 875 872 847 1325 1318 1223 1328 1329 877 1330
305 12 34 1 27 184 183 174 175 1134 1133 1124 1125 290 289 1331 286 1320 261 1215 1226 1332 1333 1322 1227 291 1324 1229 1334 1335 1336 1337
306 12 34 1 27 1134 1133 1124 1125 773 772 763 764 1332 1333 1338 1322 1327 1227 1222 1233 879 878 875 850 1336 1329 1234 1339 1340 880 1341
307 12 34 1 27 185 184 175 176 1135 1134 1125 1126 293 292 1342 289 1331 264 1226 1237 1343 1344 1333 1238 294 1335 1240 1345 1346 1347 1348
308 12 34 1 27 1135 1134 1125 1126 774 773 764 765 1343 1344 1349 1333 1338 1238 1233 1244 882 881 878 853 1347 1340 1245 1350 1351 883 1352
309 12 34 1 27 186 185 176 177 1136 1135 1126 1127 296 295 1353 292 1342 267 1237 1248 1354 1355 1344 1249 297 1346 1251 1356 1357 1358 1359
310 12 34 1 27 1136 1135 1126 1127 775 774 765 766 1354 1355 1360 1344 1349 1249 1244 1255 885 884 881 856 1358 1351 1256 1361 1362 886 1363
311 12 34 1 27 187 186 177 178 1137 1136 1127 1128 299 298 1364 295 1353 270 1248 1259 1365 1366 1355 1260 300 1357 1262 1367 1368 1369 1370
312 12 34 1 27 1137 1136 1127 1128 776 775 766 767 1365 1366 1371 1355 1360 1260 1255 1266 888 887 884 859 1369 1362 1267 1372 1373 889 1374
313 12 34 1 27 188 187 178 179 1138 1137 1128 1129 302 301 1375 298 1364 273 1259 1270 1376 1377 1366 1271 303 1368 1273 1378 1379 1380 1381
314 12 34 1 27 1138 1137 1128 1129 777 776 767 768 1376 1377 1382 1366 1371 1271 1266 1277 891 890 887 862 1380 1373 1278 1383 1384 892 1385
315 12 34 1 27 189 188 179 180 1139 1138 1129 1130 305 304 1386 301 1375 276 1270 1281 1387 1388 1377 1282 306 1379 1284 1389 1390 1391 1392
316 12 34 1 27 1139 1138 1129 1130 778 777 768 769 1387 1388 1393 1377 1382 1282 1277 1288 894 893 890 865 1391 1384 1289 1394 1395 895 1396
317 12 34 1 27 190 189 180 181 1140 1139 1130 1131 308 307 1397 304 1386 279 1281 1292 1398 1399 1388 1293 309 1390 1295 1400 1401 1402 1403
318 12 34 1 27 1140 1139 1130 1131 779 778 769 770 1398 1399 1404 1388 1393 1293 1288 1299 897 896 893 868 1402 1395 1300 1405 1406 898 1407
319 12 34 1 27 67 190 181 66 649 1140 1131 648 310 76 662 307 1397 281 1292 657 1408 663 1399 1303 311 1401 1304 1409 664 1410 1411
320 12 34 1 27 649 1140 1131 648 124 779 770 123 1408 663 665 1399 1404 1303 1299 660 899 133 896 870 1410 1406 1307 1412 666 900 1413
321 12 34 1 27 191 49 48 182 1141 536 535 1132 313 312 1414 58 554 284 549 1309 1415 1416 553 1310 314 555 1312 1417 1418 1419 1420
322 12 34 1 27 1141 536 535 1132 780 91 92 771 1415 1416 1421 553 556 1310 551 1316 902 901 101 873 1419 557 1317 1422 1423 903 1424
323 12 34 1 27 192 191 182 183 1142 1141 1132 1133 316 315 1425 312 1414 287 1309 1320 1426 1427 1416 1321 317 1418 1323 1428 1429 1430 1431
324 12 34 1 27 1142 1141 1132 1133 781 780 771 772 1426 1427 1432 1416 1421 1321 1316 1327 905 904 901 876 1430 1423 1328 1433 1434 906 1435
325 12 34 1 27 193 192 183 184 1143 1142 1133 1134 319 318 1436 315 1425 290 1320 1331 1437 1438 1427 1332 320 1429 1334 1439 1440 1441 1442
326 12 34 1 27 1143 1142 1133 1134 782 781 772 773 1437 1438 1443 1427 1432 1332 1327 1338 908 907 904 879 1441 1434 1339 1444 1445 909 1446
327 12 34 1 27 194 193 184 185 1144 1143 1134 1135 322 321 1447 318 1436 293 1331 1342 1448 1449 1438 1343 323 1440 1345 1450 1451 1452 1453
328 12 34 1 27 1144 1143 1134 1135 783 782 773 774 1448 1449 1454 1438 1443 1343 1338 1349 911 910 907 882 1452 1445 1350 1455 1456 912 1457
329 12 34 1 27 195 194 185 186 1145 1144 1135 1136 325 324 1458 321 1447 296 1342 1353 1459 1460 1449 1354 326 1451 1356 1461 1462 1463 1464
330 12 34 1 27 1145 1144 1135 1136 784 783 774 775 1459 1460 1465 1449 1454 1354 1349 1360 914 913 910 885 1463 1456 1361 1466 1467 915 1468
331 12 34 1 27 196 195 186 187 1146 1145 1136 1137 328 327 1469 324 1458 299 1353 1364 1470 1471 1460 1365 329 1462 1367 1472 1473 1474 1475
332 12 34 1 27 1146 1145 1136 1137 785 784 775 776 1470 1471 1476 1460 1465 1365 1360 1371 917 916 913 888 1474 1467 1372 1477 1478 918 1479
333 12 34 1 27 197 196 187 188 1147 1146 1137 1138 331 330 1480 327 1469 302 1364 1375 1481 1482 1471 1376 332 1473 1378 1483 1484 1485 1486
334 12 34 1 27 1147 1146 1137 1138 786 785 776 777 1481 1482 1487 1471 1476 1376 1371 1382 920 919 916 891 1485 1478 1383 1488 1489 921 1490
335 12 34 1 27 198 197 188 189 1148 1147 1138 1139 334 333 1491 330 1480 305 1375 1386 1492 1493 1482 1387 335 1484 1389 1494 1495 1496 1497
336 12 34 1 27 1148 1147 1138 1139 787 786 777 778 1492 1493 1498 1482 1487 1387 1382 1393 923 922 919 894 1496 1489 1394 1499 1500 924 1501
337 12 34 1 27 199 198 189 190 1149 1148 1139 1140 337 336 1502 333 1491 308 1386 1397 1503 1504 1493 1398 338 1495 1400 1505 1506 1507 1508
338 12 34 1 27 1149 1148 1139 1140 788 787 778 779 1503 1504 1509 1493 1498 1398 1393 1404 926 925 922 897 1507 1500 1405 1510 1511 927 1512
339 12 34 1 27 68 199 190 67 650 1149 1140 649 339 77 667 336 1502 310 1397 662 1513 668 1504 1408 340 1506 1409 1514 669 1515 1516
340 12 34 1 27 650 1149 1140 649 125 788 779 124 1513 668 670 1504 1509 1408 1404 665 928 134 925 899 1515 1511 1412 1517 671 929 1518
341 12 34 1 27 200 50 49 191 1150 537 536 1141 342 341 1519 59 559 313 554 1414 1520 1521 558 1415 343 560 1417 1522 1523 1524 1525
342 12 34 1 27 1150 537 536 1141 789 90 91 780 1520 1521 1526 558 561 1415 556 1421 931 930 100 902 1524 562 1422 1527 1528 932 1529
343 12 34 1 27 201 200 191 192 1151 1150 1141 1142 345 344 1530 341 1519 316 1414 1425 1531 1532 1521 1426 346 1523 1428 1533 1534 1535 1536
344 12 34 1 27 1151 1150 1141 1142 790 789 780 781 1531 1532 1537 1521 1526 1426 1421 1432 934 933 930 905 1535 1528 1433 1538 1539 935 1540
345 12 34 1 27 202 201 192 193 1152 1151 1142 1143 348 347 1541 344 1530 319 1425 1436 1542 1543 1532 1437 349 1534 1439 1544 1545 1546 1547
346 12 34 1 27 1152 1151 1142 1143 791 790 781 782 1542 1543 1548 1532 1537 1437 1432 1443 937 936 933 908 1546 1539 1444 1549 1550 938 1551
347 12 34 1 27 203 202 193 194 1153 1152 1143 1144 351 350 1552 347 1541 322 1436 1447 1553 1554 1543 1448 352 1545 1450 1555 1556 1557 1558
348 12 34 1 27 1153 1152 1143 1144 792 791 782 783 1553 1554 1559 1543 1548 1448 1443 1454 940 939 936 911 1557 1550 1455 1560 1561 941 1562
349 12 34 1 27 204 203 194 195 1154 1153 1144 1145 354 353 1563 350 1552 325 1447 1458 1564 1565 1554 1459 355 1556 1461 1566 1567 1568 1569
350 12 34 1 27 1154 1153 1144 1145 793 792 783 784 1564 1565 1570 1554 1559 1459 1454 1465 943 942 939 914 1568 1561 1466 1571 1572 944 1573
351 12 34 1 27 205 204 195 196 1155 1154 1145 1146 357 356 1574 353 1563 328 1458 1469 1575 1576 1565 1470 358 1567 1472 1577 1578 1579 1580
352 12 34 1 27 1155 1154 1145 1146 794 793 784 785 1575 1576 1581 1565 1570 1470 1465 1476 946 945 942 917 1579 1572 1477 1582 1583 947 1584
353 12 34 1 27 206 205 196 197 1156 1155 1146 1147 360 359 1585 356 1574 331 1469 1480 1586 1587 1576 1481 361 1578 1483 1588 1589 1590 1591
354 12 34 1 27 1156 1155 1146 1147 795 794 785 786 1586 1587 1592 1576 1581 1481 1476 1487 949 948 945 920 1590 1583 1488 1593 1594 950 1595
355 12 34 1 27 207 206 197 198 1157 1156 1147 1148 363 362 1596 359 1585 334 1480 1491 1597 1598 1587 1492 364 1589 1494 1599 1600 1601 1602
356 12 34 1 27 1157 1156 1147 1148 796 795 786 787 1597 1598 1603 1587 1592 1492 1487 1498 952 951 948 923 1601 1594 1499 1604 1605 953 1606
357 12 34 1 27 208 207 198 199 1158 1157 1148 1149 366 365 1607 362 1596 337 1491 1502 1608 1609 1598 1503 367 1600 1505 1610 1611 1612 1613
358 12 34 1 27 1158 1157 1148 1149 797 796 787 788 1608 1609 1614 1598 1603 1503 1498 1509 955 954 951 926 1612 1605 1510 1615 1616 956 1617
359 12 34 1 27 69 208 199 68 651 1158 1149 650 368 78 672 365 1607 339 1502 667 1618 673 1609 1513 369 1611 1514 1619 674 1620 1621
360 12 34 1 27 651 1158 1149 650 126 797 788 125 1618 673 675 1609 1614 1513 1509 670 957 135 954 928 1620 1616 1517 1622 676 958 1623
361 12 34 1 27 209 51 50 200 1159 538 537 1150 371 370 1624 60 564 342 559 1519 1625 1626 563 1520 372 565 1522 1627 1628 1629 1630
362 12 34 1 27 1159 538 537 1150 798 89 90 789 1625 1626 1631 563 566 1520 561 1526 960 959 99 931 1629 567 1527 1632 1633 961 1634
363 12 34 1 27 210 209 200 201 1160 1159 1150 1151 374 373 1635 370 1624 345 1519 1530 1636 1637 1626 1531 375 1628 1533 1638 1639 1640 1641
364 12 34 1 27 1160 1159 1150 1151 799 798 789 790 1636 1637 1642 1626 1631 1531 1526 1537 963 962 959 934 1640 1633 1538 1643 1644 964 1645
365 12 34 1 27 211 210 201 202 1161 1160 1151 1152 377 376 1646 373 1635 348 1530 1541 1647 1648 1637 1542 378 1639 1544 1649 1650 1651 1652
366 12 34 1 27 1161 1160 1151 1152 800 799 790 791 1647 1648 1653 1637 1642 1542 1537 1548 966 965 962 937 1651 1644 1549 1654 1655 967 1656
367 12 34 1 27 212 211 202 203 1162 1161 1152 1153 380 379 1657 376 1646 351 1541 1552 1658 1659 1648 1553 381 1650 1555 1660 1661 1662 1663
368 12 34 1 27 1162 1161 1152 1153 801 800 791 792 1658 1659 1664 1648 1653 1553 1548 1559 969 968 965 940 1662 1655 1560 1665 1666 970 1667
369 12 34 1 27 213 212 203 204 1163 1162 1153 1154 383 382 1668 379 1657 354 1552 1563 1669 1670 1659 1564 384 1661 1566 1671 1672 1673 1674
370 12 34 1 27 1163 1162 1153 1154 802 801 792 793 1669 1670 1675 1659 1664 1564 1559 1570 972 971 968 943 1673 1666 1571 1676 1677 973 1678
371 12 34 1 27 214 213 204 205 1164 1163 1154 1155 386 385 1679 382 1668 357 1563 1574 1680 1681 1670 1575 387 1672 1577 1682 1683 1684 1685
372 12 34 1 27 1164 1163 1154 1155 803 802 793 794 1680 1681 1686 1670 1675 1575 1570 1581 975 974 971 946 1684 1677 1582 1687 1688 976 1689
373 12 34 1 27 215 214 205 206 1165 1164 1155 1156 389 388 1690 385 1679 360 1574 1585 1691 1692 1681 1586 390 1683 1588 1693 1694 1695 1696
374 12 34 1 27 1165 1164 1155 1156 804 803 794 795 1691 1692 1697 1681 1686 1586 1581 1592 978 977 974 949 1695 1688 1593 1698 1699 979 1700
375 12 34 1 27 216 215 206 207 1166 1165 1156 1157 392 391 1701 388 1690 363 1585 1596 1702 1703 1692 1597 393 1694 1599 1704 1705 1706 1707
376 12 34 1 27 1166 1165 1156 1157 805 804 795 796 1702 1703 1708 1692 1697 1597 1592 1603 981 980 977 952 1706 1699 1604 1709 1710 982 1711
377 12 34 1 27 217 216 207 208 1167 1166 1157 1158 395 394 1712 391 1701 366 1596 1607 1713 1714 1703 1608 396 1705 1610 1715 1716 1717 1718
378 12 34 1 27 1167 1166 1157 1158 806 805 796 797 1713 1714 1719 1703 1708 1608 1603 1614 984 983 980 955 1717 1710 1615 1720 1721 985 1722
379 12 34 1 27 70 217 208 69 652 1167 1158 651 397 79 677 394 1712 368 1607 672 1723 678 1714 1618 398 1716 1619 1724 679 1725 1726
380 12 34 1 27 652 1167 1158 651 127 806 797 126 1723 678 680 1714 1719 1618 1614 675 986 136 983 957 1725 1721 1622 1727 681 987 1728
381 12 34 1 27 218 52 51 209 1168 539 538 1159 400 399 1729 61 569 371 564 1624 1730 1731 568 1625 401 570 1627 1732 1733 1734 1735
382 12 34 1 27 1168 539 538 1159 807 88 89 798 1730 1731 1736 568 571 1625 566 1631 989 988 98 960 1734 572 1632 1737 1738 990 1739
383 12 34 1 27 219 218 209 210 1169 1168 1159 1160 403 402 1740 399 1729 374 1624 1635 1741 1742 1731 1636 404 1733 1638 1743 1744 1745 1746
384 12 34 1 27 1169 1168 1159 1160 808 807 798 799 1741 1742 1747 1731 1736 1636 1631 1642 992 991 988 963 1745 1738 1643 1748 1749 993 1750
385 12 34 1 27 220 219 210 211 1170 1169 1160 1161 406 405 1751 402 1740 377 1635 1646 1752 1753 1742 1647 407 1744 1649 1754 1755 1756 1757
386 12 34 1 27 1170 1169 1160 1161 809 808 799 800 1752 1753 1758 1742 1747 1647 1642 1653 995 994 991 966 1756 1749 1654 1759 1760 996 1761
387 12 34 1 27 221 220 211 212 1171 1170 1161 1162 409 408 1762 405 1751 380 1646 1657 1763 1764 1753 1658 410 1755 1660 1765 1766 1767 1768
388 12 34 1 27 1171 1170 1161 1162 810 809 800 801 1763 1764 1769 1753 1758 1658 1653 1664 998 997 994 969 1767 1760 1665 1770 1771 999 1772
389 12 34 1 27 222 221 212 213 1172 1171 1162 1163 412 411 1773 408 1762 383 1657 1668 1774 1775 1764 1669 413 1766 1671 1776 1777 1778 1779
390 12 34 1 27 1172 1171 1162 1163 811 810 801 802 1774 1775 1780 1764 1769 1669 1664 1675 1001 1000 997 972 1778 1771 1676 1781 1782 1002 1783
391 12 34 1 27 223 222 213 214 1173 1172 1163 1164 415 414 1784 411 1773 386 1668 1679 1785 1786 1775 1680 416 1777 1682 1787 1788 1789 1790
392 12 34 1 27 1173 1172 1163 1164 812 811 802 803 1785 1786 1791 1775 1780 1680 1675 1686 1004 1003 1000 975 1789 1782 1687 1792 1793 1005 1794
393 12 34 1 27 224 223 214 215 1174 1173 1164 1165 418 417 1795 414 1784 389 1679 1690 1796 1797 1786 1691 419 1788 1693 1798 1799 1800 1801
394 12 34 1 27 1174 1173 1164 1165 813 812 803 804 1796 1797 1802 1786 1791 1691 1686 1697 1007 1006 1003 978 1800 1793 1698 1803 1804 1008 1805
395 12 34 1 27 225 224 215 216 1175 1174 1165 1166 421 420 1806 417 1795 392 1690 1701 1807 1808 1797 1702 422 1799 1704 1809 1810 1811 18