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

Author

Ge, Yongbin ; Cao, Fujun

Author_Institution

Inst. of Appl. Math. & Mech., Ningxia Univ., Yinchuan, China

fYear

2012

fDate

17-19 Aug. 2012

Firstpage

714

Lastpage

717

Abstract

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.

Keywords

convection; difference equations; diffusion; 3D convection diffusion equation; HOC difference scheme; boundary layer problem; computational efficiency; computational space; high-order compact difference scheme; linear system; multigrid method; nonuniform Cartesian grids; physical space; Accuracy; Computational efficiency; Equations; Interpolation; Mathematical model; Multigrid methods; Strontium; Boundary layer; High order compact scheme; Multigrid method; Non-uniform grids; convection diffusion equations;

fLanguage

English

Publisher

ieee

Conference_Titel

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

Conference_Location

Chongqing

Print_ISBN

978-1-4673-2406-9

Type

conf

DOI

10.1109/ICCIS.2012.17

Filename

6300688