NDLI: A local pseudo arc-length method for hyperbolic conservation laws

Content Provider	Springer Nature Link
Author	Wang, Xing Ma, Tian Bao Ren, Hui Lan Ning, Jian Guo
Copyright Year	2014
Abstract	A local pseudo arc-length method (LPALM) for solving hyperbolic conservation laws is presented in this paper. The key idea of this method comes from the original arc-length method, through which the critical points are bypassed by transforming the computational space. The method is based on local changes of physical variables to choose the discontinuous stencil and introduce the pseudo arc-length parameter, and then transform the governing equations from physical space to arc-length space. In order to solve these equations in arc-length coordinate, it is necessary to combine the velocity of mesh points in the moving mesh method, and then convert the physical variable in arclength space back to physical space. Numerical examples have proved the effectiveness and generality of the new approach for linear equation, nonlinear equation and system of equations with discontinuous initial values. Non-oscillation solution can be obtained by adjusting the parameter and the mesh refinement number for problems containing both shock and rarefaction waves.
Starting Page	956
Ending Page	965
Page Count	10
File Format	PDF
ISSN	05677718
Journal	Acta Mechanica Sinica
Volume Number	30
Issue Number	6
e-ISSN	16143116
Language	English
Publisher	The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences
Publisher Date	2014-12-12
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Numerical method Local pseudo arc-length method Hyperbolic conservation laws Mesh adaptation Theoretical and Applied Mechanics Classical Continuum Physics Engineering Fluid Dynamics Computational Intelligence
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Computational Mechanics

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