Journal of applied mechanics
Online ISSN : 1884-832X
Print ISSN : 1345-9139
ISSN-L : 1345-9139
Computational accuracy of the VOF method using the CIP method for solving advections of density functions
Fumihiko YAMADAKiyoshi TAKIKAWAMasakazu IIO
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1998 Volume 1 Pages 283-292

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Abstract
A computational technique for improving the accuracy of both recognizing the free surface and satisfying mass-conservation in fluid problems s presented. The Volume of Fluid (VOF) method does not take into account the transportation of interface gradients. Furthermore, because the advective equation of density functions is used for tracking free surface advection, a computational scheme having less numerical diffusion must be considered. Investigations of numerical diffusion in conventional numerical schemes indicated that the Cubic Interpolated Pseudo-particle (CIP) method associated with the Digitizer method (tangential transformation of density functions) is a less diffusive scheme. As numerical examples, slashing motion in a rectangular tank and broken dam flow are analyzed using the above CIP method. The accuracy of both recognizing free surface and satisfyi g mass-conservation is verified trough comparison with experimental and analytical solutions.
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© by Japan Society of Civil Engineers
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