Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8947406 | Computers & Mathematics with Applications | 2018 | 13 Pages |
Abstract
In this paper, we consider a two-grid decoupled algorithm for two categories of fracture models. In the mixed Darcy/Darcy fracture model, fluid flow in fractures as well as in the surrounding medium is governed by Darcy's law. And in the mixed Darcy-Forchheimer/Darcy fracture model, flow in fractures is governed by Darcy-Forchheimer's law while that in surrounding matrix is governed by Darcy's law. In the proposed two-grid method, we use a coarse grid approximation to the interface coupling conditions for decoupling mixed problems in fractures and surrounding matrix. Error estimates show that the two-grid decoupled algorithm retains the same order of approximation accuracy as the coupled algorithm for the pressure p on H1 semi-norm and the velocity u on (L2)2 norm. Numerical experiments are carried out to verify the accuracy and efficiency of the decoupled algorithm, in which the computation times are reduced greatly compared to the coupled method.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Shuangshuang Chen, Hongxing Rui,