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Published in: Journal of Scientific Computing 1/2019

14-06-2018

Local Discontinuous Galerkin Method with Implicit–Explicit Time Marching for Incompressible Miscible Displacement Problem in Porous Media

Authors: Haijin Wang, Jingjing Zheng, Fan Yu, Hui Guo, Qiang Zhang

Published in: Journal of Scientific Computing | Issue 1/2019

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Abstract

In this paper, we shall present two fully-discrete local discontinuous Galerkin methods, coupled with multi-step implicit–explicit time discretization up to second order, for solving the two-dimensional incompressible miscible displacement problem. To avoid the solving of nonlinear algebraic systems, the extrapolation linearization is adopted to diffusion–dispersion tensor. Under weak temporal-spatial conditions, the optimal error estimates in \(L^{\infty }(L^{2})\) norm for both concentration and velocity are derived. Numerical experiments are also given to demonstrate the theoretical results.

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Metadata
Title
Local Discontinuous Galerkin Method with Implicit–Explicit Time Marching for Incompressible Miscible Displacement Problem in Porous Media
Authors
Haijin Wang
Jingjing Zheng
Fan Yu
Hui Guo
Qiang Zhang
Publication date
14-06-2018
Publisher
Springer US
Published in
Journal of Scientific Computing / Issue 1/2019
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-018-0752-4

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