Numerical Method with the Third-Order ENO Reconstruction Satisfying Two Conversation Laws for Linear Advection Equation

Abstract:

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In recent years, Mao and his co-workers developed a class of finite-volume schemes for evolution partial differential equations, see [1-5].The schemes show a super-convergence quality and have good structure-preserving property in long-time numerical simulations. In [6], Chen and Ma developed a scheme which combine the idea of paper [5] and that of the the second-order ENO scheme [7]. In this paper, we propose a scheme which extend the result of [6] and obtain the scheme using the third-order ENO reconstruction. Numerical experiments show that our scheme is robust in long-time behaviors. Numerical solutions are far better than those of [6].

Info:

Periodical:

Edited by:

Han Zhao

Pages:

2969-2972

DOI:

10.4028/www.scientific.net/AMM.130-134.2969

Citation:

R. S. Chen and A. P. Liu, "Numerical Method with the Third-Order ENO Reconstruction Satisfying Two Conversation Laws for Linear Advection Equation", Applied Mechanics and Materials, Vols. 130-134, pp. 2969-2972, 2012

Online since:

October 2011

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$35.00

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