近似欧拉系统的粘度解

Math. Comput. Model. Pub Date : 2021-02-15 DOI:10.1090/mcom/3738

E. Feireisl, M. Lukáčová-Medvid’ová, Simon Schneider, Bangwei She

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引用次数: 1

摘要

应用s收敛的概念，基于强大数定律的平均，研究了欧拉系统的消失粘度解。我们展示了如何有效地计算欧拉系统的粘度解作为由粘度有限体积法得到的数值解的s极限。通过对开尔文-亥姆霍兹不稳定性问题的数值模拟对理论结果进行了说明。

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Approximating viscosity solutions of the Euler system

Applying the concept of S-convergence, based on averaging in the spirit of Strong Law of Large Numbers, the vanishing viscosity solutions of the Euler system are studied. We show how to efficiently compute a viscosity solution of the Euler system as the S-limit of numerical solutions obtained by the viscosity finite volume method. Theoretical results are illustrated by numerical simulations of the Kelvin–Helmholtz instability problem.

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Math. Comput. Model.

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