FINITE VOLUME METHODS FOR SOLVING THE PROBLEM OF DISCONTINUOUS SOLUTION

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2001, Vol. 18 ›› Issue (2): 97-105.

FINITE VOLUME METHODS FOR SOLVING THE PROBLEM OF DISCONTINUOUS SOLUTION

1. Department of Mathematics, University of Science and Technology of China, Hefei 230026, P R China;
2. Department of Computer Science and Engineering, Anhui University, Hefei 230039, P R China

Received:1999-09-09 Revised:2000-04-26 Online:2001-03-25 Published:2001-03-25

Abstract

Abstract: A speedily developed numerical method called as finite volume method (FVM),which possesses both merits of finite difference method and finite element method,is devoloped.The construction of FVM for conservation laws is introduced.Especially,some efficient and successful schemes for solving the discontinuous problems are discussed in detail.Moreover,several numerical results of simulation of 2D dam break problem are given.Finally,a summary of advances in numerical applications and theoretical analysis of FVM is presented.

Key words: finite volume method, discontinuous, high resolution method, applications

CLC Number:

O241.82

WANG Ji-wen, LIU Ru-xun. FINITE VOLUME METHODS FOR SOLVING THE PROBLEM OF DISCONTINUOUS SOLUTION[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 18(2): 97-105.

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FINITE VOLUME METHODS FOR SOLVING THE PROBLEM OF DISCONTINUOUS SOLUTION

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