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

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

研究成果: Article同行評審

15 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)324-337
頁數14
期刊Journal of Computational Physics
107
發行號2
DOIs
出版狀態Published - 1993 一月 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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