Local discontinuous Galerkin method coupled with the implicit-explicit Runge–Kutta method for the time-dependent micropolar fluid equations

IF 1.7 4区工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

International Journal for Numerical Methods in Fluids Pub Date : 2024-03-15 DOI:10.1002/fld.5282

Mengqi Li, Demin Liu

引用次数: 0

Abstract

In this article, the spatial local discontinuous Galerkin (LDG) approximation coupled with the temporal implicit-explicit Runge–Kutta (RK) evolution for the micropolar fluid equations are adopted to construct the discretization method. To avoid the incompressibility constraint, the artificial compressibility strategy method is used to convert the micropolar fluid equations into the Cauchy–Kovalevskaja type equations. Then the LDG method based on the modal expansion and the implicit-explicit RK method are properly combined to construct the expected third-order method. Theoretically, the unconditionally stable of the fully discrete method are derived in multidimensions for triangular meshs. And the numerical experiments are given to verify the theoretical and effectiveness of the presented methods.

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局部非连续伽勒金方法与隐式显式 Runge-Kutta 方法耦合用于时变微波流体方程

本文采用空间局部不连续 Galerkin（LDG）近似与时间隐式-显式 Runge-Kutta （RK）演化相结合的方法来构建微波流体方程的离散化方法。为避免不可压缩性约束，采用人工可压缩性策略方法将微波流体方程转换为 Cauchy-Kovalevskaja 型方程。然后将基于模态展开的 LDG 方法和隐式-显式 RK 方法适当结合，构建出预期的三阶方法。从理论上推导了全离散方法在多维三角网格下的无条件稳定性。并给出了数值实验来验证所提出方法的理论性和有效性。

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

International Journal for Numerical Methods in Fluids 物理-计算机：跨学科应用

CiteScore

3.70

自引率

5.60%

发文量

111

审稿时长

8 months

期刊介绍： The International Journal for Numerical Methods in Fluids publishes refereed papers describing significant developments in computational methods that are applicable to scientific and engineering problems in fluid mechanics, fluid dynamics, micro and bio fluidics, and fluid-structure interaction. Numerical methods for solving ancillary equations, such as transport and advection and diffusion, are also relevant. The Editors encourage contributions in the areas of multi-physics, multi-disciplinary and multi-scale problems involving fluid subsystems, verification and validation, uncertainty quantification, and model reduction. Numerical examples that illustrate the described methods or their accuracy are in general expected. Discussions of papers already in print are also considered. However, papers dealing strictly with applications of existing methods or dealing with areas of research that are not deemed to be cutting edge by the Editors will not be considered for review. The journal publishes full-length papers, which should normally be less than 25 journal pages in length. Two-part papers are discouraged unless considered necessary by the Editors.