Abstract
We develop a parallel computational algorithm for simulating models of gel dynamics where the gel is described by two phases, a networked polymer and a fluid solvent. The models consist of transport equations for the two phases, two coupled momentum equations, and a volumeaveraged incompressibility constraint. Multigrid with Vanka-type box relaxation scheme is used as preconditioner for the Krylov subspace solver (GMRES) to solve the momentum and incompressibility equations. Through numerical experiments of a model problem, the efficiency, robustness and scalability of the algorithm are illustrated.
| Original language | American English |
|---|---|
| Journal | International Journal for Numerical Methods in Fluids |
| State | Published - 10 Sep 2008 |
Keywords
- GMRES
- Vanka relaxation
- multigrid
- multiphase flow
- preconditioning
EGS Disciplines
- Mathematics