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An improved hybrid Cartesian/immersed boundary method for fluid–solid flows
Author(s) -
Gao Tong,
Tseng YuHeng,
Lu XiYun
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.1522
Subject(s) - cartesian coordinate system , cylinder , immersed boundary method , mathematics , interpolation (computer graphics) , boundary (topology) , maxima and minima , geometry , taylor series , mathematical analysis , physics , classical mechanics , motion (physics)
An improved hybrid Cartesian/immersed boundary method is proposed based on ghost point treatment. A second‐order Taylor series expansion is used to evaluate the values at the ghost points, and an inverse distance weighting method to interpolate the values due to its properties of preserving local extrema and smooth reconstruction. The present method effectively eliminates numerical instabilities caused by matrix inversion and flexibly adopts the interpolation in the vicinity of the boundary. Some typical fluid–solid flows, including viscous flow past a circular cylinder, a sphere, two cylinders in a side‐by‐side arrangement, and an array of 18 staggered cylinders, are examined. These benchmark simulations reasonably indicate the reliability and capability of the present method. Copyright © 2007John Wiley & Sons, Ltd.