TITLE:
High Resolution Compact Finite Difference Schemes for Convection Dominated Problems
AUTHORS:
Abdullah Shah, Saher Akmal Khan, Najib Ullah
KEYWORDS:
Upwind Scheme, Upwind Compact Scheme, Flux-Difference Splitting, Convection Dominated Problems
JOURNAL NAME:
World Journal of Mechanics,
Vol.9 No.12,
December
2,
2019
ABSTRACT: In this short article, the upwind and central compact finite difference schemes for spatial discretization of the first-order derivative are analyzed. Comparison of the schemes is provided and the best discretization scheme for convection dominated problems is suggested.