Mixed Upwinding Covolume Methods on Rectangular Grids for Convection-diffusion Problems

Author(s)

So-Hsiang Chou, Bowling Green State UniversityFollow
Do Y. Kwak
Panayot S. Vassilevski

Document Type

Article

Abstract

We consider an upwinding covolume or control-volume method for a system of rst order PDEs resulting from the mixed formulation of a convection-di usion equation with a variable anisotropic di usion tensor. The system can be used to model the steady state of the transport of a contaminant carried by a °ow. We use the lowest order Raviart{Thomas space and show that the concentration and concentration °ux both converge at one-half order provided that the exact °ux is in H1(­)2 and the exact concentration is in H1(­). Some numerical experiments illustrating the error behavior of the scheme are provided.

Copyright Statement

Publisher PDF

Repository Citation

Chou, So-Hsiang; Kwak, Do Y.; and Vassilevski, Panayot S., "Mixed Upwinding Covolume Methods on Rectangular Grids for Convection-diffusion Problems" (1999). Mathematics and Statistics Faculty Publications. 5.
https://scholarworks.bgsu.edu/math_stat_pub/5

Publication Date

1999

Publication Title

SIAM Journal on Numerical Analysis

Publisher

Society for Industrial and Applied Mathematics

DOI

https://doi.org/10.1137/S1064827597321052

Volume

21

Issue

1

Start Page No.

145

End Page No.

165