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Conjugated filter approach for solving Burgers' equation with high Reynolds number

Numerical Analysis 2025-10-20 v1 Numerical Analysis

Abstract

We propose a conjugated filter oscillation reduction scheme for solving Burgers' equation with high Reynolds numbers. Computational accuracy is tested at a moderately high Reynolds number for which analytical solution is available. Numerical results at extremely high Reynolds numbers indicate that the proposed scheme is efficient, robust and reliable for shock capturing.

Keywords

Cite

@article{arxiv.math/0009125,
  title  = {Conjugated filter approach for solving Burgers' equation with high Reynolds number},
  author = {G. W. Wei and Yun Gu},
  journal= {arXiv preprint arXiv:math/0009125},
  year   = {2025}
}

Comments

6 pages, 3 figures