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Journal of Scientific Computing

Erschienen in:

14.06.2018

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

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

Erschienen in: Journal of Scientific Computing | Ausgabe 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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Titel: Local Discontinuous Galerkin Method with Implicit–Explicit Time Marching for Incompressible Miscible Displacement Problem in Porous Media
verfasst von: Haijin Wang
Jingjing Zheng
Fan Yu
Hui Guo
Qiang Zhang
Publikationsdatum: 14.06.2018
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 1/2019
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-018-0752-4

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