变截面喷嘴内流体流动模型的平衡保正roe型数值格式

IF 0.6 4区数学 Q3 MATHEMATICS

Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI:10.11650/tjm/230804

Dao Huy Cuong, Ngo Nguyen Quoc Bao, Nguyen Duy Khang, Nguyen Nhat Nam

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引用次数: 0

摘要

本文提出了变截面喷嘴内流体流动模型的roe型数值格式。该方案采用Roe方法结合界面处的静止接触跳变建立。该方案被证明可以精确捕获平滑的静止波，并保持流体密度的正性。数值试验表明，除了精确解穿过声面外，该方法能给出较好的精确解。

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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Well-balanced and Positivity-preserving Roe-type Numerical Scheme for the Model of Fluid Flows in a Nozzle with Variable Cross-section

This paper presents a Roe-type numerical scheme for the model of fluid flows in a nozzle with variable cross-section. The proposed scheme is built using the Roe method combined with stationary contact jumps at interfaces. The scheme is proven to capture smooth stationary waves precisely and preserve the positivity of the fluid's density. The numerical tests show that this approach can give considered accuracy to the exact solutions, except where the exact solution crosses a sonic surface.

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来源期刊

Taiwanese Journal of Mathematics 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

3 months

期刊介绍： The Taiwanese Journal of Mathematics, published by the Mathematical Society of the Republic of China (Taiwan), is a continuation of the former Chinese Journal of Mathematics (1973-1996). It aims to publish original research papers and survey articles in all areas of mathematics. It will also occasionally publish proceedings of conferences co-organized by the Society. The purpose is to reflect the progress of the mathematical research in Taiwan and, by providing an international forum, to stimulate its further developments. The journal appears bimonthly each year beginning from 2008.