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Multiscale Flow Simulation by Adaptive Finite Volume Particle Methods
Author(s) -
Iske Armin
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510360
Subject(s) - finite volume method , particle (ecology) , particle method , computer science , flow (mathematics) , key (lock) , volume (thermodynamics) , particle system , mathematical optimization , statistical physics , mathematics , mechanics , physics , geology , mathematical analysis , oceanography , computer security , quantum mechanics , boundary value problem , operating system
We report on recent developments concerning adaptive finite particle methods, which are used for the numerical simulation of multiscale phenomena in time‐dependent evolution processes. The proposed concept relies on a finite volume approach, which we combine with WENO reconstruction from particle average values. In this method, polyharmonic splines are key tools for both the optimal recovery from scattered particle averages and the construction of customized adaption rules. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)