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Journal of Scientific Computing

Erschienen in:

01.01.2020

A Modular Grad-Div Stabilization for the 2D/3D Nonstationary Incompressible Magnetohydrodynamic Equations

verfasst von: Xiaoli Lu, Pengzhan Huang

Erschienen in: Journal of Scientific Computing | Ausgabe 1/2020

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Abstract

In this paper, we study an efficient and modular grad-div stabilization algorithm for the 2D/3D nonstationary incompressible magnetohydrodynamic equations. The considered algorithm is a fully discrete first-order scheme based on the mixed finite element method and does not increase computational time for increasing stabilization parameters. Also, both unconditional stability and convergence analysis are given. Finally, numerical experiments are presented to verify both the numerical theory and efficiency of the presented algorithm.

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Titel: A Modular Grad-Div Stabilization for the 2D/3D Nonstationary Incompressible Magnetohydrodynamic Equations
verfasst von: Xiaoli Lu
Pengzhan Huang
Publikationsdatum: 01.01.2020
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 1/2020
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-019-01114-x

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