Discontinuous finite element method for two dimensional conservation laws

Sheng Chang Shih, San-Yih Lin

Research output: Contribution to journalArticlepeer-review

Abstract

A finite-element method has been developed and analyzed for solving two dimensional conservation laws on rectangular meshes. Specially, the method is applied to the computational aeroacoustics. The method is based on a discontinuous Galerkin finite-element method in the space discretization, and a three-stage TVD (Total Variation Diminishing) Runge-Kutta method in the time marching. In this paper, we construct six independent bases on each grid element and a local limiter to ensure that the scheme satisfies the maximum principle. The method is formally third-order accurate in space and second-order accurate in time. Preliminary numerical results on scalar and system initial-boundary value problems are shown to demonstrate abilities of the numerical method.

Original languageEnglish
Pages (from-to)121-127
Number of pages7
JournalJournal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao
Volume20
Issue number2
Publication statusPublished - 1999 Jan 1

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

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