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《On the consistency of MPS》.pdf

发布：2015-10-18约14.39万字共14页下载文档

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Computer Physics Communications 184 (2013) 732–745 Contents lists available at SciVerse ScienceDirect Computer Physics Communications journal homepage: /locate/cpc On the consistency of MPS Antonio Souto-Iglesias ∗, Fabricio Macià, Leo M. González, Jose L. Cercos-Pita Naval Architecture Department (ETSIN), Technical University of Madrid (UPM), 28040 Madrid, Spain a r t i c l e i n f o a b s t r a c t Article history: The consistency of the Moving Particle Semi-implicit (MPS) method in reproducing the gradient, Received 18 July 2012 divergence and Laplacian differential operators is discussed in the present paper. Its relation to the Received in revised form Smoothed Particle Hydrodynamics (SPH) method is rigorously established. The application of the MPS 13 November 2012 method to solve the Navier–Stokes equations using a fractional step approach is treated, unveiling Accepted 16 November 2012 Available online 21 November 2012 inconsistency problems when solving the Poisson equation for the pressure. A new corrected MPS method incorporating boundary terms is proposed. Applications to one dimensional boundary value Dirichlet and mixed Neumann–Dirichlet problems and to two-dimensional free-surface flows are presented. Keywords: MPS © 2012 Elsevier B.V. All rights reserved.

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