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Computation of fluid–solid and fluid–fluid interfaces with the CIP method based on adaptive Soroban grids—An overview
Author(s) -
Yabe Takashi,
Takizawa Kenji,
Tezduyar Tayfun E.,
Im HyoNam
Publication year - 2007
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1473
Subject(s) - computation , grid , computer science , robustness (evolution) , mesh generation , computational science , interpolation (computer graphics) , unstructured grid , computational fluid dynamics , regular grid , mathematics , algorithm , geometry , finite element method , computer graphics (images) , physics , mechanics , animation , biochemistry , chemistry , gene , thermodynamics
We provide an overview of how fluid–solid and fluid–fluid interfaces can be computed successfully with the constrained interpolation profile/cubic interpolated pseudo‐particle (CIP) method ( J. Comput. Phys. 1985; 61 :261–268; Comput. Phys. Commun. 1991; 66 :219–232; Comput. Phys. Commun. 1991; 66 :233–242; J. Comput. Phys. 2001; 169 :556–593) based on adaptive Soroban grids ( J. Comput. Phys. 2004; 194 :57–77). In this approach, the CIP combined unified procedure (CCUP) technique ( J. Phys. Soc. Jpn 1991; 60 :2105–2108), 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. While the details of the approach and several numerical examples were reported in ( Comput. Mech. 2006; published online), our objective in this paper is to provide an easy‐to‐follow description of the key aspects of the approach. Copyright © 2007 John Wiley & Sons, Ltd.