Modifying and Reducing Numerical Dissipation in a Two-Dimensional Central-Upwind Scheme

Authors

  • Chi-Jer Yu
  • Chii-Tung Liu

DOI:

https://doi.org/10.4208/aamm.10-m11142

Keywords:

Hyperbolic systems of conservation laws, Godunov-type finite-volume methods, central-upwind scheme, Kurganov, numerical dissipation, anti-diffusion.

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.

Published

2012-04-01

Issue

Section

Articles