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Conservative Velocity Interpolation for PDF Methods
Author(s) -
Meyer D. W.,
Jenny P.
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410214
Subject(s) - interpolation (computer graphics) , grid , conservation of mass , flow (mathematics) , compressibility , compressible flow , trilinear interpolation , mathematics , incompressible flow , multivariate interpolation , computer science , mathematical optimization , mechanics , geometry , physics , classical mechanics , bilinear interpolation , motion (physics) , computer vision
Abstract In many particle methods the accurate interpolation of a velocity field represented on a computational grid to arbitrary positions is crucial [2, 5]. Here, the importance of mass conservation and order of the interpolation scheme were analyzed. Initially equally distributed particles were tracked in a stationary, incompressible 2d flow field using different interpolation schemes. It could be demonstrated that especially mass conservation is of great importance, in particular in the case of complex flow patterns. The ideas presented in this paper are more general and the methods can be extended for unsteady, compressible 3d flow problems. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)