A High-Order NVD/TVD-Based Polynomial Upwind Scheme for the Modified Burgers' Equations

Authors

  • Wei Gao
  • Yang Liu
  • Bin Cao
  • Hong Li

DOI:

https://doi.org/10.4208/aamm.10-m1139

Keywords:

modified Burgers' equation, TVD, NVD, upwind scheme.

Abstract

A bounded high order upwind scheme is presented for the modified Burgers' equation by using the normalized-variable formulation in the finite volume framework. The characteristic line of the present scheme in the normalized-variable diagram is designed on the Hermite polynomial interpolation. In order to suppress unphysical oscillations, the present scheme respects both the TVD (total variational diminishing) constraint and CBC (convection boundedness criterion) condition. Numerical results demonstrate the present scheme possesses good robustness and high resolution for the modified Burgers' equation.

Published

2012-04-01

Issue

Section

Articles