Sign stable arbitrary high order reconstructions for constructing non-oscillatory entropy stable schemes

Prashant Kumar Pandey and Ritesh Kumar Dubey

Applied Mathematics and Computation, 2023, vol. 454, issue C

Abstract: High order sign stable reconstructions are much sought after to develop high order non-oscillatory entropy stable schemes. This work presents a very simple but generic approach to construct arbitrary high order sign stable reconstructions. Further, by utilizing such obtained sign stable reconstructions entropy stable schemes are constructed using well known arbitrary high-order entropy conservative fluxes. Several numerical results for 1D and 2D benchmark test problems are given to demonstrate the accuracy and non-oscillatory property of representative entropy stable schemes which are designed using of proposed approach.

Keywords: Entropy conservative fluxes; Sign stability; High order reconstructions; Diffusion operator; Entropy stability; Conservation laws (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:454:y:2023:i:c:s0096300323002680

DOI: 10.1016/j.amc.2023.128099

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