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High Resolution Compact Finite Difference Schemes for Convection Dominated Problems
Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
- 1 Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
- 2 Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
- 3 Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
World Journal of Mechanics·Volume 09 (2019)·Pages 259–266·Published 2 December 2019·DOI10.4236/wjm.2019.912017
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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.
KeywordsUpwind SchemeUpwind Compact SchemeFlux-Difference SplittingConvection Dominated Problems
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