High-order local discontinuous Galerkin method for simulating wormhole propagation
Document Type
Article
Publication Date
4-2019
Department
Department of Mathematical Sciences
Abstract
In this paper, we apply local discontinuous Galerkin methods to the compressible wormhole propagation. Optimal error estimates for the pressure, velocity, porosity and concentration in different norms are established on non-uniform grids. 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 Computational and Applied Mathematics
Recommended Citation
Guo, H.,
Tian, L.,
Xu, Z.,
Yang, Y.,
&
Qi, N.
(2019).
High-order local discontinuous Galerkin method for simulating wormhole propagation.
Journal of Computational and Applied Mathematics,
350, 247-261.
http://doi.org/10.1016/j.cam.2018.10.021
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/6074