Approximate Deconvolution with Correction – A High Fidelity Model for Magnetohydrodynamic Flows at High Reynolds and Magnetic Reynolds Numbers

IF 1 4区数学 Q3 MATHEMATICS, APPLIED

Computational Methods in Applied Mathematics Pub Date : 2023-07-12 DOI:10.1515/cmam-2022-0254

Yasasya Batugedara, A. Labovsky

引用次数: 1

Abstract

Abstract We propose a model for magnetohydrodynamic flows at high Reynolds and magnetic Reynolds numbers. The system is written in the Elsässer variables so that the decoupling method of [C. Trenchea, Unconditional stability of a partitioned IMEX method for magnetohydrodynamic flows, Appl. Math. Lett. 27 (2014), 97–100] can be used. This decoupling method is only first-order accurate, so the proposed model aims at improving the temporal accuracy (from first to second order), as well as reducing the modeling error of the existing turbulence model. This is done in the framework of the recently developed LES-C turbulence models [A. E. Labovsky, Approximate deconvolution with correction: A member of a new class of models for high Reynolds number flows, SIAM J. Numer. Anal. 58 (2020), 5, 3068–3090]. We show the model to be unconditionally stable and numerically verify its superiority over its most natural competitor.

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带校正的近似反褶积——高雷诺数和磁雷诺数下磁流体动力流动的高保真模型

摘要我们提出了一个高雷诺数和磁雷诺数下的磁流体动力学流动模型。该系统以Elsässer变量编写，因此可以使用[C.Trenchea，磁流体动力学流的分区IMEX方法的无条件稳定性，Appl.Math.Lett.27（2014），97–100]的解耦方法。这种解耦方法只有一阶精度，因此所提出的模型旨在提高时间精度（从一阶到二阶），并降低现有湍流模型的建模误差。这是在最近开发的LES-C湍流模型[A的框架内完成的。 E.Labovsky，带校正的近似反褶积：一类新的高雷诺数流动模型的成员，SIAM J.Numer。Anal。58（2020），53068–3090]。我们证明了该模型是无条件稳定的，并在数值上验证了其相对于最自然竞争对手的优势。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computational Methods in Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.40

自引率

7.70%

发文量

期刊介绍： The highly selective international mathematical journal Computational Methods in Applied Mathematics　(CMAM) considers original mathematical contributions to computational methods and numerical analysis with applications mainly related to PDEs. CMAM seeks to be interdisciplinary while retaining the common thread of numerical analysis, it is intended to be readily readable and meant for a wide circle of researchers in applied mathematics. The journal is published by De Gruyter on behalf of the Institute of Mathematics of the National Academy of Science of Belarus.