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The parareal method is useful for solving parabolic PDEs. Phase field equation is one of parabolic PDEs and has many applications. However, there is no report of an evaluation of performance of parare...al method to phase field equation. Therefore,in this study, we apply the parareal method to a 1D phase field equation and show the convergence data to consider the efficient use of parareal method. The results of this study show the following. The parareal method is useful for the phase field equation. The number of the parareal iteration is almost 10 for the number of time slices 100. The number of parareal iteration does not increase even if we increase the time coarsening ratio to 400. Backward-difference 4th method enables an accurate convergence. In the future, we intend to widen this study for 3D phase field equation and the Cahn-Hilliard equation. Then, we will continue to evaluate the performance of the parreal method.続きを見る
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Mendeley出力
CFD2017.12.飯塚_発表論文