Analysis of a semidiscrete discontinuous Galerkin scheme for compressible miscible displacement problem
نویسندگان
چکیده
منابع مشابه
A Combined Mixed Finite Element and Discontinuous Galerkin Method for Miscible Displacement Problem in Porous Media
A combined method consisting of the mixed finite element method for flow and the discontinuous Galerkin method for transport is introduced for the coupled system of miscible displacement problem. A “cut-off” operatorM is introduced in the discontinuous Galerkin formular in order to make the combined scheme converge. Optimal error estimates in L(H) for concentration and in L(L) for velocity are ...
متن کاملConvergence of a Discontinuous Galerkin Method for the Miscible Displacement under Minimal Regularity
Discontinuous Galerkin time discretizations are combined with the mixed finite element and continuous finite element methods to solve the miscible displacement problem. Stable schemes of arbitrary order in space and time are obtained. Under minimal regularity assumptions on the data, convergence of the scheme is proved by using compactness results for functions that may be discontinuous in time.
متن کاملA combined mixed finite element method and local discontinuous Galerkin method for miscible displacement problem in porous media
A combined method consisting of the mixed finite element method for flow and the local discontinuous Galerkin method for transport is introduced for the one dimensional coupled system of incompressible miscible displacement problem. Optimal error estimates in L∞(0, T ;L) for concentration c, in L(0, T ;L) for cx and L ∞(0, T ;L) for velocity u are derived. The main technical difficulties in the...
متن کاملDiscontinuous Galerkin Finite Element Convergence for Incompressible Miscible Displacement Problems of Low Regularity
In this article we analyse the numerical approximation of incompressible miscible displacement problems with a combined mixed finite element and discontinuous Galerkin method under minimal regularity assumptions. The main result is that sequences of discrete solutions weakly accumulate at weak solutions of the continuous problem. In order to deal with the non-conformity of the method and to avo...
متن کاملA discontinuous Galerkin method for viscous compressible multifluids
We present a generalized discontinuous Galerkin method for a multicomponent compressible barotropic Navier-Stokes system of equations. The system presented has a functional viscosity ν which depends on the pressure p = p(ρ, μi) of the flow, with the density ρ and the local concentration μi. High order Runge-Kutta time discretization techniques are employed, and different methods of dealing with...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2008
ISSN: 0377-0427
DOI: 10.1016/j.cam.2007.03.019