Modifying and reducing numerical dissipation in a two-dimensional central-upwind scheme

Chi-Jer Yu*, Chii Tung Liu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This study presents a modification of the central-upwind Kurganov scheme for approximating the solution of the 2D Euler equation. The prototype, extended from a 1D model, reduces substantially less dissipation than expected. The problem arises from over-restriction of some slope limiters, which keep slopes between interfaces of cells to be Total-Variation-Diminishing. This study reports the defect and presents a re-derived optimal formula. Numerical experiments highlight the significance of this formula, especially in long-time, large-scale simulations.

Original languageEnglish
Pages (from-to)340-353
Number of pages14
JournalAdvances in Applied Mathematics and Mechanics
Volume4
Issue number3
DOIs
StatePublished - 25 Oct 2012

Keywords

  • Anti-diffusion
  • Central-upwind scheme
  • Godunov-type finite-volume methods
  • Hyperbolic systems of conservation laws
  • Kurganov
  • Numerical dissipation

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