High-Resolution and High-Precision Weighted Essentially Non-Oscillatory Scheme for Compressible Flow Simulations
Year: 2024
Author: Shujiang Tang
Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 4 : pp. 980–1008
Abstract
In this paper, a new high-resolution WENO-MIM scheme that can achieve optimal accuracy at high-order critical points is developed. The nonlinear weight function of the new scheme can be obtained by adding a freely adjustable term with a parameter $λ$ to the mapping function of the WENO-IM scheme. A sufficient condition shows the shock-capturing ability of WENO-MIM will be enhanced with the increase of $λ.$ The parameter $λ=467$ obtained from experience can guarantee the new scheme achieves high resolution. Numerical example results show that the present scheme can achieve optimal accuracy at high-order critical points and perform significantly better than other WENO schemes in highly efficient computing of various compressible fluid problems.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2022-0321
Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 4 : pp. 980–1008
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 29
Keywords: WENO scheme high resolution optimal accuracy mapping function freely adjustable term.