A Pseudo Arc-Length Method for Numerical Simulation of Shock Waves

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

Chin. Phys. Lett.

2014, Vol. 31

Issue (03): 030201 DOI: 10.1088/0256-307X/31/3/030201

GENERAL

A Pseudo Arc-Length Method for Numerical Simulation of Shock Waves

WANG Xing, MA Tian-Bao^**, NING Jian-Guo

State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081

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WANG Xing, MA Tian-Bao, NING Jian-Guo 2014 Chin. Phys. Lett. 31 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.

Received: 08 November 2013 Published: 28 February 2014

PACS:	02.60.Lj	(Ordinary and partial differential equations; boundary value problems)
	47.40.Nm	(Shock wave interactions and shock effects)
	02.30.Jr	(Partial differential equations)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/31/3/030201 OR https://cpl.iphy.ac.cn/Y2014/V31/I03/030201

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	WANG Xing
	MA Tian-Bao
	NING Jian-Guo

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