An alternative reconstruction for WENO schemes with adaptive order

Hua Shen

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arXiv · 2103.12273

An alternative reconstruction for WENO schemes with adaptive order

Hua Shen

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Abstract

We propose an alternative reconstruction for weighted essentially non-oscillatory schemes with adaptive order (WENO-AO) for solving hyperbolic conservation laws. The alternative reconstruction has a more concise form than the original WENO-AO reconstruction. Moreover, it is a strictly convex combination of polynomials with unequal degrees. Numerical examples show that the alternative reconstruction maintains the accuracy and robustness of the WENO-AO schemes.

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Hua Shen. 2021-03-23. An alternative reconstruction for WENO schemes with adaptive order. https://arxiv.org/abs/2103.12273

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