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2019 | OriginalPaper | Chapter

On Numerical Shock Instability of Low Diffusion Shock-Capturing Schemes

Authors : W. J. Xie, Ye Zhang, Ran Zhang, Hua Li

Published in: The Proceedings of the 2018 Asia-Pacific International Symposium on Aerospace Technology (APISAT 2018)

Publisher: Springer Singapore

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Abstract

Low diffusion shock-capturing schemes are known to produce numerical shock anomalies in hypersonic flow computations. In the current study, we conduct a stability analysis of the Roe approach. It has been found that the shock instability can be effectively suppressed if enough entropy production can be guaranteed inside the numerical shock structure. To improve the robustness of the Roe solver, a modification is proposed to enforce enough entropy production of the numerical flux function. Numerical results show that the proposed scheme is quite robust against shock instabilities.

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previous chapter New Multi-dimensional Limiter for Finite Volume Discretizations on Unstructured Meshes

next chapter Towards an Accurate and Robust Rotated Riemann Solver for Hypersonic Flow Computations

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Title: On Numerical Shock Instability of Low Diffusion Shock-Capturing Schemes
Authors: W. J. Xie
Ye Zhang
Ran Zhang
Hua Li
Publisher: Springer Singapore
Book: The Proceedings of the 2018 Asia-Pacific International Symposium on Aerospace Technology (APISAT 2018)
Print ISBN: 978-981-13-3304-0

Electronic ISBN: 978-981-13-3305-7

Copyright Year: 2019
DOI: https://doi.org/10.1007/978-981-13-3305-7_52

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