A new reconstruction of numerical fluxes for conservation laws using fuzzy operators,International Journal for Numerical Methods in Fluids

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A new reconstruction of numerical fluxes for conservation laws using fuzzy operators
International Journal for Numerical Methods in Fluids ( IF 1.7 ) Pub Date : 2020-12-07 , DOI: 10.1002/fld.4948
Ruchika Lochab ₁ , Vivek Kumar ₁

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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.

中文翻译：

利用模糊算子重构守恒律数值通量的新方法

本文通过应用基于模糊逻辑的算子函数，为双曲守恒律的数值解决方案开发了一种新的混合通量限制方案。拟议的通量限制器的构造是使用具有适当强度的模糊修正函数来探索的。本文的目的是提出一种有效的有限体积通量限制技术，该技术源自完全不同的模糊数学主题，用于解决双曲型偏微分方程。一维和二维中的几个标准测试用例被数值求解，以证明所提出的新混合磁通受限方案的鲁棒性。

更新日期：2020-12-07

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