Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Volume 55, Issue 12, Pages 1189-1211Publisher
WILEY
DOI: 10.1002/fld.1522
Keywords
immersed boundary method; Taylor series expansion; inverse distance weighting; fluid-solid interaction
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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 (C) 2007 John Wiley & Sons, Ltd.
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