Research Article
Variational Multiscale Element Free Galerkin Method Coupled with Low-Pass Filter for Burgers’ Equation with Small Diffusion
Table 2
Comparison between the numerical solutions at
for Re = 10
4.
| | Reference [3] | Reference [30] | VMEFG with filter |
| 0.05 | 0.0424 | 0.0379 | 0.037716792 | 0.11 | 0.0843 | 0.0834 | 0.082959609 | 0.16 | 0.1263 | 0.1213 | 0.120632606 | 0.22 | 0.1684 | 0.1667 | 0.165785694 | 0.27 | 0.2103 | 0.2044 | 0.203352212 | 0.33 | 0.2522 | 0.2497 | 0.248337909 | 0.38 | 0.2939 | 0.2872 | 0.285730246 | 0.44 | 0.3355 | 0.3322 | 0.330462517 | 0.50 | 0.3769 | 0.3769 | 0.375015652 | 0.55 | 0.4182 | 0.4141 | 0.411982983 | 0.61 | 0.4592 | 0.4584 | 0.456120122 | 0.66 | 0.4999 | 0.4951 | 0.492687106 | 0.72 | 0.5404 | 0.5388 | 0.536270966 | 0.77 | 0.5805 | 0.5749 | 0.572307656 | 0.83 | 0.620 | 0.6179 | 0.615158458 | 0.88 | 0.6600 | 0.6533 | 0.650490215 | 0.94 | 0.6957 | 0.6952 | 0.692359873 | 0.96 | — | 0.7090 | 0.706171615 | 0.98 | — | 0.7228 | 0.719903495 | 0.99 | — | 0.7296 | 0.728178293 |
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