An improved direct-forcing immersed-boundary method for finite difference applications

A modified immersed-boundary method is developed using the direct-forcing concept. An improved bilinear interpolation/extrapolation algorithm is implemented for more accurate boundary forcing expressions and easier implementation. Detailed discussions of the method are presented on the stability, ve...

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Bibliographic Details
Published in:Journal of computational physics 2007-01, Vol.221 (1), p.250-268
Main Authors: Zhang, N., Zheng, Z.C.
Format: Article
Language:English
Subjects:
Algorithms
Boundaries
Computation
Computational techniques
Cylinders
Exact sciences and technology
Extrapolation
Finite difference
Finite difference method
Flow over a cylinder
Flow over a sphere
Immersed-boundary method
Interpolation
Mathematical analysis
Mathematical methods in physics
Physics
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Summary:A modified immersed-boundary method is developed using the direct-forcing concept. An improved bilinear interpolation/extrapolation algorithm is implemented for more accurate boundary forcing expressions and easier implementation. Detailed discussions of the method are presented on the stability, velocity interpolation on the immersed boundary, direct-forcing extrapolation to the grid points, resolution of the immersed boundary points, and internal treatment. The method can achieve second-order accurate solutions. The method is then applied to a finite-difference scheme to compute flow over a stationary cylinder, an oscillating cylinder, and a stationary sphere. The accuracy of the computational results is verified using numerous computational and experimental results in the literature.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2006.06.012