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 volume-averaged 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 | English |
|---|---|
| Pages (from-to) | 633-649 |
| Number of pages | 17 |
| Journal | International Journal for Numerical Methods in Fluids |
| Volume | 60 |
| Issue number | 6 |
| DOIs | |
| State | Published - 30 Jun 2009 |
Keywords
- GMRES
- Multigrid
- Multiphase flow
- Preconditioning
- Vanka relaxation
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