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

Mathematics – Numerical Analysis

Scientific paper

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6 pages, 3 figures

Scientific paper

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.

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