Higher Order Discontinuous Galerkin Methods for Flow and Transport in Porous Media

作者: Peter Bastian

DOI: 10.1007/978-3-642-19014-8_1

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摘要: In this paper we describe higher order discontinuous Galerkin (DG) methods for application in subsurface transport. Based on a scheme developed by Oden, Babuska and Baumann present method the solution of elliptic flow equation multigrid fast arising algebraic equations. For transport combine DG space discretization with explicit Runge-Kutta schemes convection-dominated case diagonally implicit diffusion-dominated case. Numerical results are presented single-phase heterogeneous media, solute two-phase flow.

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