On a decoupled algorithm for poroelasticity and its resolution by multigrid

On a decoupled algorithm for poroelasticity and its resolution by multigrid

Gaspar, F.J.
Lisbona, F.J.
Oosterlee, C.W.

Electrical Engineering, Mathematics and Computer Science

2006-09-05

In this work, we present a robust and efficient multigrid solver for a reformulated version of the system of poroelasticity equations. The reformulation enables us to treat the system in a decoupled fashion. It is sufficient to choose a highly efficient multigrid method for a scalar Poisson type equation for the overall solution of this poroelasticity system. With standard geometric transfer operators, a direct coarse grid discretization and a point-wise red-black Gauss-Seidel smoother, an efficient multigrid method is developed for all relevant choices of the problem parameters. According to classical multigrid theory, we observe multigrid convergence factors that are less than 0.1 for a variety of poroelastic problems. Very satisfactory solution times are produced, that are about 10 times faster than the iterative solution of the coupled system, discretized on a staggered grid.

poroelasticity
reformulation
stability
collocated grid
multigrid

http://resolver.tudelft.nl/uuid:998e8bf3-529a-4429-840e-95e0c938d9ed

Delft University of Technology; European Community on Computational Methods in Applied Sciences (ECCOMAS)

90-9020970-0

ECCOMAS CFD 2006: Proceedings of the European Conference on Computational Fluid Dynamics, Egmond aan Zee, The Netherlands, September 5-8, 2006

Institutional Repository

conference paper

(c) 2006 The Author(s)