2019World Journal of MechanicsOpen access

High Resolution Compact Finite Difference Schemes for Convection Dominated Problems

Abdullah Shah, Saher Akmal Khan, Najib Ullah

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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.

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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.

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Available 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.

Key concepts: Discretization, Upwind scheme, Finite difference, Compact finite difference, Convection, Mathematics, Finite difference method, Scheme (mathematics)

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