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Divergence‐constrained moving least squares for fluid simulation
Author(s) -
Hong JeongMo,
Yoon JongChul,
Kim ChangHun
Publication year - 2008
Publication title -
computer animation and virtual worlds
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.225
H-Index - 49
eISSN - 1546-427X
pISSN - 1546-4261
DOI - 10.1002/cav.236
Subject(s) - interpolation (computer graphics) , divergence (linguistics) , computer science , moving least squares , fluid simulation , least squares function approximation , vector field , mathematics , mathematical optimization , algorithm , mechanics , artificial intelligence , motion (physics) , physics , estimator , philosophy , linguistics , statistics
Developing suitable interpolation methods to simulate dynamic motions of continuous materials such as fluids is an important problem. In this paper, we propose a novel method to enforce the divergence condition to the interpolated velocity field by moving least squares (MLS), by means of the diffusive derivatives and moving divergence constraints that allow the practical use and easy implementation. As results, we present the velocity interpolation examples and a fluid‐like particle simulation method to show the meaningful potential of our method as a tool of physical interpolation for fluid simulations. Copyright © 2008 John Wiley & Sons, Ltd.