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. Author manuscript; available in PMC: 2021 Jun 15.
Published in final edited form as: Comput Methods Appl Mech Eng. 2020 Apr 21;365:113030. doi: 10.1016/j.cma.2020.113030

Table 6:

Comparison of the extrapolated number of simulations to obtain nCI[Q] = 0.01 for different UQ methods. The distribution of number of simulations by model level and fidelity is shown as a percentage of the total number of simulations needed for extrapolation. The total number of simulations is shown on the final row for the healthy and diseased models. The same representative QoI is used for both healthy and diseased models. Values marked as 0.0% contribute negligibly to the overall percentage of simulations.

Outlet Flow Model TAWSS
MC MLMC MLMF MLMF MC MLMC MLMF MLMF
3D-1D 3D-1D-0D 3D-1D 3D-1D-0D
Healthy LF Coa. 96.6% 98.9% 77.9% 94.7%
LF Med. 1.7% 0.9% 10.8% 4.1%
LF Fine 1.4% 0.2% 10.1% 1.1%
HF Coa. 98.1% 0.2% 0.0% 84.4% 1.1% 0.0%
HF Med. 1.1% 0.0% 0.0% 8.2% 0.0% 0.0%
HF Fine 100% 0.8% 0.0% 0.0% 100% 7.4% 0.1% 0.0%
Total No. Sims. 9 758 10 386 133 843 883 690 23 940 25 469 543 309 3 060 780
Diseased LF Coa. 92.2% 97.1% 78.6% 94.0%
LF Med. 5.3% 2.4% 14.1% 5.3%
LF Fine 2.3% 0.4% 5.6% 0.7%
HF Coa. 89.9% 0.1% 0.0% 84.3% 1.4% 0.0%
HF Med. 6.7% 0.1% 0.0% 10.3% 0.1% 0.0%
HF Fine 100% 3.4% 0.1% 0.0% 100% 5.4% 0.1% 0.0%
Total No. Sims. 9 471 18 626 363 442 2 240 202 22 581 27 537 673 023 3 407 848
(a) Aorto-Femoral Model
Outlet Pressure Model TAWSS
MC MLMC MLMF MLMF MC MLMC MLMF MLMF
3D-1D 3D-1D-0D 3D-1D 3D-1D-0D
Healthy LF Coa. 96.4% 98.4% 82.4% 98.6%
LF Med. 2.0% 0.9% 11.6% 0.9%
LF Fine 1.4% 0.7% 4.6% 0.4%
HF Coa. 99.6% 0.1% 0.0% 91.6% 1.3% 0.0%
HF Med. 0.3% 0.0% 0.0% 6.3% 0.1% 0.0%
HF Fine 100% 0.1% 0.0% 0.0% 100% 2.1% 0.0% 0.0%
Total No. Sims. 20 467 24 799 197 712 653 682 21 748 27 298 932 759 3 717 084
Diseased LF Coa. 96.7% 98.5% 91.2% 99.0%
LF Med. 1.3% 0.6% 3.5% 0.4%
LF Fine 1.9% 0.9% 4.0% 0.6%
HF Coa. 99.6% 0.1% 0.0% 94.0% 1.2% 1.2%
HF Med. 0.3% 0.0% 0.0% 2.8% 0.0% 0.0%
HF Fine 100% 0.1% 0.0% 0.0% 100% 3.2% 0.0% 0.0%
Total No. Sims. 20 587 24 188 214 491 563 280 16 391 16 615 699 517 2 894 913
(b) Coronary Model