A parallel computational method for simulating two‐phase gel dynamics on a staggered grid |
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| Authors: | Jian Du Aaron L Fogelson Grady B Wright |
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| Institution: | 1. Department of Mathematics, University of Utah, Salt Lake City, UT 84112‐0090, U.S.A.;2. Department of Bioengineering, University of Utah, Salt Lake City, UT 84112‐0090, U.S.A.;3. Department of Mathematics, Boise State University, Boise, ID 83725‐1555, U.S.A. |
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| 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. Copyright © 2008 John Wiley & Sons, Ltd. |
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| Keywords: | multiphase flow multigrid Vanka relaxation GMRES preconditioning |
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