A parallel computational method for simulating two-phase gel dynamics on a staggered grid

Jian Du; Aaron L. Fogelson; Grady B. Wright

doi:10.1002/fld.1907

A parallel computational method for simulating two-phase gel dynamics on a staggered grid

Jian Du, Aaron L. Fogelson, Grady B. Wright

Mathematics Department

University of Utah

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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	https://doi.org/10.1002/fld.1907
State	Published - 30 Jun 2009

Keywords

GMRES
Multigrid
Multiphase flow
Preconditioning
Vanka relaxation

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10.1002/fld.1907

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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.",

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AU - Fogelson, Aaron L.

AU - Wright, Grady B.

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N2 - 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.

AB - 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.

KW - GMRES

KW - Multigrid

KW - Multiphase flow

KW - Preconditioning

KW - Vanka relaxation

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JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

IS - 6

ER -

A parallel computational method for simulating two-phase gel dynamics on a staggered grid

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Keywords

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