학술논문
A Uniformly Robust Staggered DG Method for the Unsteady Darcy-Forchheimer-Brinkman Problem
Document Type
Original Paper
Author
Source
Communications on Applied Mathematics and Computation. 4(1):205-226
Subject
Language
English
ISSN
2096-6385
2661-8893
2661-8893
Abstract
In this paper, we propose and analyze a uniformly robust staggered DG method for the unsteady Darcy-Forchheimer-Brinkman problem. Our formulation is based on velocity gradient-velocity-pressure and the resulting scheme can be flexibly applied to fairly general polygonal meshes. We relax the tangential continuity for velocity, which is the key ingredient in achieving the uniform robustness. We present well-posedness and error analysis for both the semi-discrete scheme and the fully discrete scheme, and the theories indicate that the error estimates for velocity are independent of pressure. Several numerical experiments are presented to confirm the theoretical findings.