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A new reconstruction of numerical fluxes for conservation laws using fuzzy operators
Author(s) -
Lochab Ruchika,
Kumar Vivek
Publication year - 2021
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4948
Subject(s) - conservation law , mathematics , fuzzy logic , finite volume method , robustness (evolution) , partial differential equation , hyperbolic partial differential equation , flux limiter , mathematical optimization , mathematical analysis , computer science , artificial intelligence , mechanics , physics , biochemistry , chemistry , gene
This article develops a new hybrid flux‐limited scheme for a numerical solution of the hyperbolic conservation laws by applying fuzzy logic‐based operator functions. The construction of the proposed flux‐limiter is explored using a fuzzy modifier function, having a suitable intensity. The purpose of this article is to present an efficient finite volume flux‐limited technique, derived from an entirely different subject of fuzzy mathematics, for tackling hyperbolic partial differential equations. Several standard test cases in one and two dimensions are solved numerically for demonstrating the robustness of the proposed new hybrid flux‐limited scheme.