Title :
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
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;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2012 Fourth International Conference on
Conference_Location :
Chongqing
Print_ISBN :
978-1-4673-2406-9
DOI :
10.1109/ICCIS.2012.17
