An h−adaptive local discontinuous Galerkin method for simulating wormhole propagation with Darcy–Forcheiner model
Document Type
Article
Publication Date
2-10-2020
Department
Department of Mathematical Sciences
Abstract
In this paper, we apply local discontinuous Galerkin methods to the compressible wormhole propagation. With high velocity, Darcy–Forchheimer model is used instead of classical Darcy framework. Optimal error estimates for the pressure, velocity, porosity and concentration in different norms are established on non-uniform rectanglular grids. To capture the propagation of the wormhole accurately and save computations, adaptive mesh is applied. Numerical experiments are presented to verify the theoretical analysis and show the good performance of the LDG scheme for compressible wormhole propagation.
Publication Title
Journal of Scientific Computing
Recommended Citation
Tian, L.,
Guo, H.,
Jia, R.,
&
Yang, Y.
(2020).
An h−adaptive local discontinuous Galerkin method for simulating wormhole propagation with Darcy–Forcheiner model.
Journal of Scientific Computing,
82.
http://doi.org/10.1007/s10915-020-01135-x
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/1677