Numerical analysis for a lid-driven cavity flow using a 'CONDIF' approach.

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Abstract
Many benchmark problems for the numerical analysis of the fluid flow have been proposed. In this paper, a lid-driven cavity flow which is one of the most famous benchmark problems is examined. Four numerical schemes are compared with each other in terms of the grid dependency and accuracy of the solutions. From the viewpoint of the interaction between neighboring computational cells, we choose a 'CONDIF : Controlled Numerical Diffusion with Internal Feedback' approach developed by Runchal and we check this scheme for this cavity flow problem. Consequently, it is found that the CONDIF' approach is very stable for the grid Peclet number condition and the time step is not sensitive to the Courant condition.

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