Analysis of High Accuracy Conservation-Element and Solution-Element Schemes

Chin. Phys. Lett.

2004, Vol. 21

Issue (11): 2085-2088 DOI:

Original Articles

Analysis of High Accuracy Conservation-Element and Solution-Element Schemes

LIU Kai-Xin;WANG Jing-Tao

State Key Laboratory for Turbulence and Complex Systems and Department of Mechanics and Engineering Science, Peking University, Beijing 100871

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LIU Kai-Xin, WANG Jing-Tao 2004 Chin. Phys. Lett. 21 2085-2088

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Abstract We propose a technique to construct higher accuracy conservation element and solution element (CE/SE) schemes. A second-order CE/SE scheme is established and its stability condition is examined on the basis of the von Neumann necessary condition. From the viewpoints of accuracy and efficiency, the applied range of the one-order CE/SE scheme and the high-order ones is discussed through some numerical examples.

Keywords: 02.60.Cb 83.85.Pt

Published: 01 November 2004

PACS:	02.60.Cb	(Numerical simulation; solution of equations)
	83.85.Pt

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2004/V21/I11/02085

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