A Hybrid Discontinuous Galerkin Method for Darcy-Stokes Problems
نویسندگان
چکیده
We propose and analyze a hybrid discontinuous Galerkin method for the solution of incompressible flow problems, which allows to deal with pure Stokes, pure Darcy, and coupled Darcy-Stokes flow in a unified manner. The flexibility of the method is demonstrated in numerical examples.
منابع مشابه
UN CO RR EC TE D PR O O F 1 A Hybrid Discontinuous Galerkin Method 2 for Darcy - Stokes Problems 3
We propose and analyze a hybrid discontinuous Galerkin method for the solution 10 of incompressible flow problems, which allows to deal with pure Stokes, pure Darcy, and 11 coupled Darcy-Stokes flow in a unified manner. The flexibility of the method is demonstrated 12 in numerical examples.
متن کاملAnalysis of a Discontinuous Finite Element Method for the Coupled Stokes and Darcy Problems
Modeling the interaction between surface and subsurface flow is a challenging environmental problem. One such example is the simulation of transport of contaminants through rivers into the aquifers. Mathematically, this complex problem can be modeled by the coupled system of Stokes and Darcy equations. The aim of this paper is to formulate and analyze a discontinuous finite element method for t...
متن کاملA Two-grid Method for Coupled Free Flow with Porous Media Flow
This paper presents a two-grid method for solving systems of partial differential equations modelling free flow coupled with porous media flow. This work considers both the coupled Stokes and Darcy as well as the coupled Navier-Stokes and Darcy problems. The numerical schemes proposed are based on combinations of the continuous finite element method and the discontinuous Galerkin method. Numeri...
متن کاملA Discontinuous Galerkin Reduced Basis Numerical Homogenization Method for Fluid Flow in Porous Media
We present a new conservative multiscale method for Stokes flow in heterogeneous porous media. The method couples a discontinuous Galerkin finite element method (DG-FEM) at the macroscopic scale for the solution of an effective Darcy equation with a Stokes solver at the pore scale to recover effective permeabilities at macroscopic quadrature points. To avoid costly computation of numerous Stoke...
متن کاملNumerical Modelling of Coupled Surface and Subsurface Flow Systems
This paper presents and compares several numerical solutions of the coupled system of Navier-Stokes and Darcy equations. The schemes are based on combinations of the finite element method and the discontinuous Galerkin method. Accuracy and robustness of the methods are investigated for heterogeneous porous media. The importance of local mass conservation for filtration problems is also discussed.
متن کامل