DarcyLite: A Matlab toolbox for darcy flow computation

Abstract

DarcyLite is a Matlab toolbox for numerical simulations of flow and transport in 2-dim porous media. This paper focuses on the finite element (FE) methods and the corresponding code modules in DarcyLite for solving the Darcy equation. Specifically, four major types of finite element solvers, the continuous Galerkin (CG), the discontinuous Galerkin (DG), the weak Galerkin (WG), and the mixed finite element methods (MFEM), are examined. Furthermore, overall design and implementation strategies in DarcyLite are discussed. Numerical results are included to demonstrate the usage and performance of this toolbox.