Spectral methods based on new formulations for coupled Stokes and Darcy equations

摘要: In this paper we consider the numerical solution of Stokes and Darcy coupled equations, which frequently appears in porous media modeling. The main contribution work is as follows: First, introduce a new formulation for Stokes/Darcy subject respectively to Beavers-Joseph-Saffman interface condition an alternative matching condition. Secondly, prove well-posedness these weak problems by using classical saddle point theory. Thirdly, some spectral approximations are proposed analyzed, error estimates provided. It found that formulations significantly simplify analysis implementation. Finally, two-dimensional element examples provided demonstrate efficiency our methods.