Upwind Finite-Volume Method with a Triangular Mesh for Conservation Laws

San-Yih Lin, Tsuen Muh Wu, Yan Shin Chin

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

A new upwind scheme has been developed and analyzed for a finite-volume solution of the conservation laws on triangular meshes. The scheme is an upwind second-order extrapolation with simple local limiters, and it is weakly second-order accurate and satisfies maximum principles. In one dimension, the scheme reduces to a fully upwind second-order scheme with a simple local limiter. Preliminary numerical results demonstrating the performance of the scheme on a variety of initial-boundary value problems are presented. The order of convergence of the scheme is found to vary from 1.6 to 1.9 in L1.

Original languageEnglish
Pages (from-to)324-337
Number of pages14
JournalJournal of Computational Physics
Volume107
Issue number2
DOIs
Publication statusPublished - 1993 Jan 1

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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