An efficient Legendre-Galerkin spectral method for the natural convection in two-dimensional cavities |
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Authors: | Jun Zhang Fubiao Lin |
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Institution: | 1. Computational Mathematics Research Center, Guizhou University of Finance and Economics, Guiyang, China;2. School of Mathematics and Statistical, Guizhou University of Finance and Economics, Guiyang, China |
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Abstract: | An efficient numerical method is developed for solving the natural convection in two-dimensional cavities. The numerical scheme is proposed by using second-order projection scheme in time direction and Legendre-spectral in spatial variable of the incompressible flow. Finally, a series of numerical examples are presented to demonstrate the efficiency of our algorithm. The numerical strategies developed in this article could be readily applied to study other incompressible fluid problems. |
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Keywords: | cavity flow natural convection second-order projection method spectral method |
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