Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776584 | Applied Numerical Mathematics | 2017 | 29 Pages |
Abstract
The subject of this paper is to investigate the first order system least squares Legendre and Chebyshev pseudo-spectral methods for coupled Stokes-Darcy equations. By introducing strain tensor as a new variable, Stokes-Darcy equations recast into a system of first order differential equations. The least squares functional is defined by summing up the weighted L2-norm of residuals of the first order system for coupled Stokes-Darcy equations. To treat Beavers-Joseph-Saffman interface conditions, the weighted L2-norm of these conditions are also added to the least squares functional. Continuous and discrete homogeneous functionals are shown to be equivalent to the combination of weighted H(div) and H1-norm for Stokes-Darcy equations. The spectral convergence for the Legendre and Chebyshev methods are derived. To demonstrate this analysis, numerical experiments are also presented.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Peyman Hessari, Byeong-Chun Shin,