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A High Order Compact Difference Scheme and Multigrid Method for Solving the 3D Convection Diffusion Equation on Non-uniform Grids

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2 Author(s)
Yongbin Ge ; Inst. of Appl. Math. & Mech., Ningxia Univ., Yinchuan, China ; Fujun Cao

A high order compact (HOC) difference scheme is proposed to solve the 3D convection diffusion equation on non-uniform Cartesian grids involving no transformation from the physical space to the computational space. A multigrid method based on this HOC scheme is developed to solve the linear system arising from the difference equation. Numerical experiments about a boundary layer problem are conducted to show the computed accuracy of the HOC scheme and the computational efficiency of the multigrid method.

Published in:

Computational and Information Sciences (ICCIS), 2012 Fourth International Conference on

Date of Conference:

17-19 Aug. 2012