I have a simple sim setup which consists of a cube inside of a region. The region has a uniform H-field. The cube inside the region has a user supplied b-h curve (Carpenter Silicon Core Iron A, 1066C Annealed). I took the b-h data and fitted a spline to it in MATLAB. I then generated a dataset from the spline function which is being used in Elmer.
The original B-H data can be seen below.
Code: Select all
0.000000 0.000000
0.076138 27.383404
0.142890 31.395700
0.217980 36.490250
0.305520 42.403651
0.393040 48.938553
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1.737700 5779.393448
Code: Select all
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1.265 202.151092214846
1.266 202.648198603587
1.267 203.147315105251
1.268 203.64860628149
1.269 204.152236693954
1.27 204.658370904291
1.271 205.167173474152
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1.276 207.75697137406
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1.287 213.805193793472
1.288 214.38453640767
1.289 214.96950949109
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1.292 216.759857173177
1.293 217.368997749982
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1.299 221.165119695448
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1.397 313.879086399806
1.398 315.27914837695
1.399 316.694498916767
1.4 318.124537848767
1.401 319.56866500246
1.402 321.026280207354
1.403 322.496783292957
1.404 323.979574088778
1.405 325.474052424327
1.406 326.979618129113
1.407 328.495671032643
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1.409 331.556837753975
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1.411 334.652751224394
1.412 336.212237564282
1.413 337.77861007997
1.414 339.351268600964
1.415 340.929612956775
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1.423 353.689037397696
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1.425 356.893739921706
1.426 358.495017208077
1.427 360.09477828337
1.428 361.692422977094
1.429 363.287351118759
1.43 364.878962537871
1.431 366.466657063942
1.432 368.049855636702
1.433 369.628799855771
1.434 371.204797386992
1.435 372.779227143211
1.436 374.353468037269
1.437 375.928898982012
1.438 377.506898890282
1.439 379.088846674923
1.44 380.676121248778
1.441 382.270101524692
1.442 383.872166415507
1.443 385.483694834069
1.444 387.106065693219
1.445 388.740657905802
1.446 390.388850384661
1.447 392.052022042641
1.448 393.731551792584
1.449 395.428818547334
1.45 397.145201219735
1.451 398.882078722631
1.452 400.640829968864
1.453 402.42283387128
1.454 404.22946934272
1.455 406.06211529603
1.456 407.922150644052
1.457 409.810954299631
1.458 411.729905175609
1.459 413.68038218483
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1.461 417.681430254378
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1.463 421.825129811023
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1.467 430.584608596601
1.468 432.880871882976
1.469 435.222450431031
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1.471 440.04574978763
1.472 442.527206169208
1.473 445.054469258662
1.474 447.626985582229
1.475 450.244201666145
1.476 452.905564036646
1.477 455.610519219969
1.478 458.358513742352
1.479 461.14899413003
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1.484 475.719312466132
1.485 478.753085096551
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1.487 484.935911530482
1.488 488.083858386466
1.489 491.268756370111
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1.493 504.36679010604
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1.498 521.504315796726
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1.516 593.107706505017
1.517 597.832333198308
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1.527 651.600812213697
1.528 657.665335080022
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1.53 670.099167200898
1.531 676.450051896587
1.532 682.877965976537
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1.534 695.928033171489
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1.536 709.175670550304
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1.548 789.555405456562
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1.558 860.736454129901
1.559 868.423507831848
1.56 876.249954883654
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1.562 892.356977144039
1.563 900.655309703397
1.564 909.120125992013
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1.566 926.506088422459
1.567 935.404576838983
1.568 944.424964906172
1.569 953.55592376137
1.57 962.786124541926
1.571 972.104238385184
1.572 981.498936428493
1.573 990.958889809197
1.574 1000.47276966465
1.575 1010.02924713218
1.576 1019.61699334916
1.577 1029.22467945292
1.578 1038.84097658081
1.579 1048.45455587017
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1.581 1067.62824548272
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1.583 1086.65511738933
1.584 1096.08518177188
1.585 1105.45415796459
1.586 1114.78880325117
1.587 1124.12114237891
1.588 1133.48320009514
1.589 1142.90700114715
1.59 1152.42457028227
1.591 1162.06793224779
1.592 1171.86911179103
1.593 1181.86013365929
1.594 1192.0730225999
1.595 1202.53980336014
1.596 1213.29250068734
1.597 1224.3631393288
1.598 1235.78374403183
1.599 1247.58633954375
1.6 1259.80295061185
1.601 1272.46560198345
1.602 1285.60631840587
1.603 1299.2571246264
1.604 1313.45004539235
1.605 1328.21710545105
1.606 1343.59032954979
1.607 1359.60174243588
1.608 1376.28336885664
1.609 1393.66723355936
1.61 1411.78338549457
1.611 1430.61643028623
1.612 1450.1055302318
1.613 1470.18787183193
1.614 1490.80064158727
1.615 1511.88102599847
1.616 1533.36621156618
1.617 1555.19338479104
1.618 1577.2997321737
1.619 1599.62244021483
1.62 1622.09869541506
1.621 1644.66568427504
1.622 1667.26059329542
1.623 1689.82060897686
1.624 1712.28291782
1.625 1734.58470632549
1.626 1756.66316099397
1.627 1778.45592744881
1.628 1799.93617380671
1.629 1821.13728127627
1.63 1842.09846362486
1.631 1862.85893461983
1.632 1883.45790802855
1.633 1903.93459761835
1.634 1924.32821715661
1.635 1944.67798041069
1.636 1965.02310114793
1.637 1985.4027931357
1.638 2005.85627014135
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1.64 2047.14143427573
1.641 2068.05154893917
1.642 2089.19230368992
1.643 2110.60291229535
1.644 2132.3225885228
1.645 2154.39054613963
1.646 2176.8459989132
1.647 2199.72816061088
1.648 2223.076245
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1.652 2321.61828876368
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1.654 2374.15353714331
1.655 2401.27806431294
1.656 2428.98942065209
1.657 2457.29927654804
1.658 2486.219302388
1.659 2515.76116855924
1.66 2545.93654544899
1.661 2576.75710344451
1.662 2608.23451293304
1.663 2640.38044430183
1.664 2673.20656793811
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1.666 2740.93860107684
1.667 2775.79768004619
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1.674 3031.4999862283
1.675 3068.78793542215
1.676 3106.03795329289
1.677 3143.17414204027
1.678 3180.120603864
1.679 3216.80144096386
1.68 3253.14075553956
1.681 3289.06264979085
1.682 3324.49122591747
1.683 3359.35835955348
1.684 3393.67617627739
1.685 3427.50414482895
1.686 3460.9023458509
1.687 3493.93085998597
1.688 3526.64976787691
1.689 3559.11915016645
1.69 3591.39908749733
1.691 3623.54966051231
1.692 3655.63094985409
1.693 3687.70303616545
1.694 3719.8260000891
1.695 3752.0599222678
1.696 3784.46488334426
1.697 3817.10096396126
1.698 3850.02824476151
1.699 3883.30680638776
1.7 3916.99672948274
1.701 3951.1580946892
1.702 3985.85098264987
1.703 4021.13547400751
1.704 4057.07118488617
1.705 4093.699673247
1.706 4131.03903885877
1.707 4169.10581373976
1.708 4207.91652990824
1.709 4247.48771938252
1.71 4287.83591418085
1.711 4328.97764632155
1.712 4370.92944782287
1.713 4413.70785070311
1.714 4457.32938698055
1.715 4501.81058867349
1.716 4547.16798780018
1.717 4593.41811637894
1.718 4640.57750642802
1.719 4688.66268996572
1.72 4737.69019901032
1.721 4787.67656558012
1.722 4838.63832169337
1.723 4890.59199936838
1.724 4943.55413062342
1.725 4997.54124747679
1.726 5052.56988194675
1.727 5108.65656605161
1.728 5165.81783180963
1.729 5224.0702112391
1.73 5283.4302363583
1.731 5343.91443918554
1.732 5405.53935173906
1.733 5468.32150603718
1.734 5532.27743409816
1.735 5597.4236679403
1.736 5663.77673958187
1.737 5731.35318104117
1.738 5800.16952433645
1.739 5870.24230148604
1.74 5941.58804450818
1.741 6014.22328542119
1.742 6088.16455624333
1.743 6163.42838899289
1.744 6240.03131568814
1.745 6317.9898683474
1.746 6397.32057898891
1.747 6478.03997963099
1.748 6560.16460229189
1.749 6643.71097898992
1.75 6728.69564174334
1.751 6815.13512257047
1.752 6903.04595348955
1.753 6992.4446665189
1.754 7083.34779367676
1.755 7175.77186698147
1.756 7269.73341845126
1.757 7365.24898010446
1.758 7462.33508395931
1.759 7561.00826203413
1.76 7661.28504634717
However, I'm seeing values significantly smaller than what I'm expecting (see image below).
I don't think Elmer is the issue because the student version of Ansys Maxwell is also producing results that are in close agreement with Elmer.
I thought maybe that my cube was too small so some other effects might be at work. So, I made the cube huge (1.6m x 1.2m x 2m) but I still get the same results.
Could some please elaborate as to why the results are like this and aren't matching what I'm expecting from the B-H curve?
My case.sif
My gmsh geometry
Code: Select all
// Gmsh project created on Tue Aug 15 10:25:09 2023
SetFactory("OpenCASCADE");
lm = 5.0; // cube mesh size
lr = 30.0; // region mesh size
region_size = 300;
//+
Point(1) = {100, 60, 80, lm};
//+
Point(2) = {100, 60, -80, lm};
//+
Point(3) = {-100, 60, -80, lm};
//+
Point(4) = {-100, 60, 80, lm};
//+
Point(5) = {-100, -60, 80, lm};
//+
Point(6) = {-100, -60, -80, lm};
//+
Point(7) = {100, -60, -80, lm};
//+
Point(8) = {100, -60, 80, lm};
//+
Line(1) = {4, 3};
//+
Line(2) = {3, 2};
//+
Line(3) = {2, 1};
//+
Line(4) = {1, 4};
//+
Line(5) = {4, 5};
//+
Line(6) = {5, 6};
//+
Line(7) = {6, 3};
//+
Line(8) = {6, 7};
//+
Line(9) = {7, 2};
//+
Line(10) = {7, 8};
//+
Line(11) = {8, 1};
//+
Line(12) = {8, 5};
//+
Curve Loop(1) = {7, 2, -9, -8};
//+
Plane Surface(1) = {1};
//+
Curve Loop(2) = {12, -5, -4, -11};
//+
Plane Surface(2) = {2};
//+
Curve Loop(3) = {6, 7, -1, 5};
//+
Plane Surface(3) = {3};
//+
Curve Loop(4) = {12, 6, 8, 10};
//+
Plane Surface(4) = {4};
//+
Curve Loop(5) = {10, 11, -3, -9};
//+
Plane Surface(5) = {5};
//+
Curve Loop(6) = {1, 2, 3, 4};
//+
Plane Surface(6) = {6};
//+
Surface Loop(1) = {5, 4, 2, 3, 1, 6};
//+
Volume(1) = {1};
//+
Point(9) = {region_size, region_size, region_size, lr};
//+
Point(10) = {-region_size, region_size, region_size, lr};
//+
Point(11) = {-region_size, region_size, -region_size, lr};
//+
Point(12) = {region_size, region_size, -region_size, lr};
//+
Point(13) = {region_size, -region_size, -region_size, lr};
//+
Point(14) = {region_size, -region_size, region_size, lr};
//+
Point(15) = {-region_size, -region_size, region_size, lr};
//+
Point(16) = {-region_size, -region_size, -region_size, lr};
//+
Line(13) = {15, 16};
//+
Line(14) = {16, 13};
//+
Line(15) = {13, 14};
//+
Line(16) = {14, 15};
//+
Line(17) = {15, 10};
//+
Line(18) = {10, 9};
//+
Line(19) = {9, 14};
//+
Line(20) = {9, 12};
//+
Line(21) = {12, 13};
//+
Line(22) = {11, 12};
//+
Line(23) = {10, 11};
//+
Line(24) = {11, 16};
//+
Curve Loop(7) = {17, 18, 19, 16};
//+
Plane Surface(7) = {7};
//+
Curve Loop(8) = {24, 14, -21, -22};
//+
Plane Surface(8) = {8};
//+
Curve Loop(9) = {13, 14, 15, 16};
//+
Plane Surface(9) = {9};
//+
Curve Loop(10) = {13, -24, -23, -17};
//+
Plane Surface(10) = {10};
//+
Curve Loop(11) = {15, -19, 20, 21};
//+
Plane Surface(11) = {11};
//+
Curve Loop(12) = {18, 20, -22, -23};
//+
Plane Surface(12) = {12};
//+
Surface Loop(2) = {7, 10, 9, 8, 11, 12};
//+
Surface Loop(3) = {2, 4, 3, 1, 6, 5};
//+
Volume(2) = {2, 3};
//+
Physical Surface("front", 25) = {7};
//+
Physical Surface("back", 26) = {8};
//+
Physical Surface("left", 27) = {10};
//+
Physical Surface("right", 28) = {11};
//+
Physical Surface("top", 29) = {12};
//+
Physical Surface("bottom", 30) = {9};
//+
Physical Volume("material", 31) = {1};
//+
Physical Volume("region", 32) = {2};
//+
Coherence;
Nick
Thank you so much for your time!! I will have a look at those BCs!!
I'm using Elmer to model magnetic field reversals recorded in layers of rock (and Elmer is working quite well so far). I'm going to be measuring the magnetic field of about ~2km of rock drill core samples samples and Elmer is helping drive the design of the measurement system. I'm interested in simulating B-fields as I will use them to include Earth's magnetic field which will add an induced magnetisation to my rocks.