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• W1578049282 abstract "Approximate projection methods are useful computational tools for solving the equations of time-dependent incompressible flow.Inthis report we will present a new discretization of the approximate projection in an approximate projection method. The discretizations of divergence and gradient will be identical to those in existing approximate projection methodology using cell-centered values of pressure; however, we will replace inversion of the five-point cell-centered discretization of the Laplacian operator by a Fast Multipole Method-based Poisson Solver (FMM-PS).We will show that the FMM-PS solver can be an accurate and robust component of an approximation projection method for constant density, inviscid, incompressible flow problems. Computational examples exhibiting second-order accuracy for smooth problems will be shown. The FMM-PS solver will be found to be more robust than inversion of the standard five-point cell-centered discretization of the Laplacian for certain time-dependent problems that challenge the robustness of the approximate projection methodology." @default.
• W1578049282 created "2016-06-24" @default.
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• W1578049282 date "2006-03-28" @default.
• W1578049282 modified "2023-09-26" @default.
• W1578049282 title "On Using a Fast Multipole Method-based Poisson Solver in anApproximate Projection Method" @default.
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• W1578049282 doi "https://doi.org/10.2172/898942" @default.
• W1578049282 hasPublicationYear "2006" @default.
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