A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media

Results in Applied Mathematics

Beatrice Riviere¹  Matthew Knepley²  Maurice S. Fabien³ 

[1] Department of Computational and Applied Mathematics, Rice University, Houston, TX, United States of America;Department of Computer Science and Engineering, State University of New York at Buffalo, Buffalo, NY, United States of America;Division of Applied Mathematics, Brown University, Providence, RI, United States of America;

关键词: High order;    Discontinuous Galerkin;    Hybridization;    Porous media;    Quarter five spot;    Heterogeneity;   

DOI  :  

来源: DOAJ

【 摘 要 】

An hybridizable discontinuous Galerkin method of arbitrary high order is formulated to solve the miscible displacement problem in porous media. The spatial discretization is combined with a sequential algorithm that decouples the flow and the transport equations. Hybridization produces a linear system for the globally coupled degrees of freedom, that is smaller in size compared to the system resulting from the interior penalty discontinuous Galerkin methods. We study the impact of increasing the polynomial order on the accuracy of the solution. Numerical experiments show that the method converges optimally and that it is robust for highly heterogeneous porous media in two and three dimensions.

【 授权许可】

Unknown