A multigrid solver for phase field simulation of microstructure evolution

Liesbeth Vanherpe, Frank Wendler, Britta Nestler and Stefan Vandewalle

Mathematics and Computers in Simulation (MATCOM), 2010, vol. 80, issue 7, 1438-1448

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.

Keywords: Phase field simulation; Nonlinear multigrid method; Grain growth (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2010:i:7:p:1438-1448

DOI: 10.1016/j.matcom.2009.10.007

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