A pseudo arc-length method for numerical simulation of shock waves

Xing Wang; Tian Bao Ma; Jian Guo Ning

doi:10.1088/0256-307X/31/3/030201

A pseudo arc-length method for numerical simulation of shock waves

Xing Wang, Tian Bao Ma^*, Jian Guo Ning

^*Corresponding author for this work

School of Mechatronical Engineering

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

A pseudo arc-length method is proposed for the numerical simulation of shock wave propagations. This method passes the discontinuities and establishes adaptive moving meshes in the physical space by introducing the arc-length parameter and transforming the computational domain. Numerical experiments of the Sod problem, double Mach reflection problem and explosion problem demonstrate that this approach is more efficient than traditional numerical methods in capturing and tracking discontinuous solutions of singular or nearly singular problems.

Original language	English
Article number	030201
Journal	Chinese Physics Letters
Volume	31
Issue number	3
DOIs	https://doi.org/10.1088/0256-307X/31/3/030201
Publication status	Published - Mar 2014

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Wang, X., Ma, T. B., & Ning, J. G. (2014). A pseudo arc-length method for numerical simulation of shock waves. Chinese Physics Letters, 31(3), Article 030201. https://doi.org/10.1088/0256-307X/31/3/030201

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abstract = "A pseudo arc-length method is proposed for the numerical simulation of shock wave propagations. This method passes the discontinuities and establishes adaptive moving meshes in the physical space by introducing the arc-length parameter and transforming the computational domain. Numerical experiments of the Sod problem, double Mach reflection problem and explosion problem demonstrate that this approach is more efficient than traditional numerical methods in capturing and tracking discontinuous solutions of singular or nearly singular problems.",

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N2 - A pseudo arc-length method is proposed for the numerical simulation of shock wave propagations. This method passes the discontinuities and establishes adaptive moving meshes in the physical space by introducing the arc-length parameter and transforming the computational domain. Numerical experiments of the Sod problem, double Mach reflection problem and explosion problem demonstrate that this approach is more efficient than traditional numerical methods in capturing and tracking discontinuous solutions of singular or nearly singular problems.

AB - A pseudo arc-length method is proposed for the numerical simulation of shock wave propagations. This method passes the discontinuities and establishes adaptive moving meshes in the physical space by introducing the arc-length parameter and transforming the computational domain. Numerical experiments of the Sod problem, double Mach reflection problem and explosion problem demonstrate that this approach is more efficient than traditional numerical methods in capturing and tracking discontinuous solutions of singular or nearly singular problems.

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A pseudo arc-length method for numerical simulation of shock waves

Abstract

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