Bulletin of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2432-1982
High-Accuracy Unstructured Soroban-Grid CIP Method(<Special Topics>CIP Method)
Takashi YabeKenji TakizawaYouichi Ogata
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2008 Volume 18 Issue 2 Pages 78-94

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Abstract
We provide an overview of how fluid-solid and fluid-fluid interfaces can be computed successfully with the CIP method based on adaptive Soroban grids. In this approach, the CCUP technique, which is based on the CIP method, is combined with the adaptive Soroban grid technique. One of the superior features of the approach is that even though the grid system is unstructured, it still has a simple data structure that renders remarkable computational efficiency. Another superior feature is that despite the unstructured and collocated nature of the grid, high-order accuracy and computational robustness are maintained. In addition, because the Soroban grid technique does not have any elements or cells connecting the grid points, the approach does not involve mesh distortion limitations. Our objective in this paper is to provide an easy-to-follow description of the key aspects of the approach.
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© 2008 The Japan Society for Industrial and Applied Mathematics
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