Title: A multigrid solver for phase field simulation of microstructure evolution
Authors: Vanherpe, Liesbeth ×
Wendler, Frank
Nestler, Britta
Vandewalle, Stefan #
Issue Date: 2010
Publisher: North Holland Pub. Co.
Series Title: Mathematics and Computers in Simulation vol:80 issue:7 pages:1438-1448
Conference: Multi-scale modeling of moving interfaces in materials location:Leuven date:2-4 July 2008
Abstract: This paper presents a semi-implicit numerical method for the simulation of grain growth in two dimensions with a multi phase field model. To avoid the strong stability condition of traditional explicit methods, a first-order, semi-implicit discretisation scheme is employed, which offers a good compromise with regard to memory intensity and computational requirements. A nonlinear multigrid solver based on the Full Approximation Scheme is implemented to solve the equations resulting from this discretisation. Simulations with the multigrid solver show that the solver has grid size independent convergence properties and is faster than a standard first-order explicit solver. As such, the multigrid solver promises to be a reliable additional computational tool for the simulation of microstructural evolution. A comparison with existing alternatives remains, however, subject of further investigation. To validate the implementation, the results of specific test cases are studied.
ISSN: 0378-4754
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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