Time-stepping schemes for phase-field simulation of dendritic solidification
نویسنده
چکیده
Two di erent time-stepping schemes are investigated for a phaseeld model of solidi cation of a pure material. A rst order accurate semiexplicit scheme which is computationally cheap per time step is compared to a more accurate fully implicit BDF-discretization. The implementation of fast Poisson and Newton-GMRES solvers are discussed in some detail. Convergence rates are experimentally validated for decreasing time steps. By computational experiments it is shown that for suÆciently low error tolerances one bene ts from using the BDF-scheme in two space dimensions.
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تاریخ انتشار 2002