An Entropy-Stable Residual Distribution Scheme for the System of Two-Dimensional Inviscid Shallow Water Equations

Autor:	Farzad Ismail, Hossain Chizari, Wei Shyang Chang
Rok vydání:	2019
Předmět:	010101 applied mathematics Test case Finite volume method Inviscid flow General Mathematics Entropy stability 010102 general mathematics Applied mathematics 0101 mathematics 01 natural sciences Shallow water equations Residual distribution Mathematics
Zdroj:	Bulletin of the Malaysian Mathematical Sciences Society. 42:1745-1771
ISSN:	2180-4206 0126-6705
DOI:	10.1007/s40840-019-00719-7
Popis:	An entropy-stable residual distribution (RD) method is developed for the systems of two-dimensional shallow water equations (SWE). The construction of entropy stability for the residual distribution method is derived from finite volume method principles, albeit using a multidimensional approach. The paper delves into in-depth discussions on how finite volume methods achieve entropy stability in a “one-dimensional” sense for two-dimensional systems of SWE unlike the residual distribution methods. Results herein demonstrate the superiority of the entropy-stable RD methods relative to their finite volume counterparts, especially on highly irregular triangular grids. The comparative results with other established RD methods are also included, depicting similar performances with the Lax–Wendroff method for unsteady smooth flows but more accurate than the multidimensional upwind approaches (N, LDA) on both smooth and discontinuous test cases.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b646c2cc04cb388642d405e1cc2d45fc https://doi.org/10.1007/s40840-019-00719-7 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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