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An immersed boundary method for the incompressible Navier–Stokes equations in complex geometry

✍ Scribed by Tony W. H. Sheu; H. F. Ting; R. K. Lin

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
718 KB
Volume
56
Category
Article
ISSN
0271-2091

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✦ Synopsis

Abstract

A nodally exact convection–diffusion–reaction scheme developed in Cartesian grids is applied to solve the flow equations in irregular domains within the framework of immersed boundary (IB) method. The artificial momentum forcing term applied at certain points in the flow and inside the body of any shape allows the imposition of no‐slip velocity condition to account for the body of complex boundary. Development of an interpolation scheme that can accurately lead to no‐slip velocity condition along the IB is essential since Cartesian grid lines generally do not coincide with the IB. The results simulated from the proposed IB method agree well
with other numerical and experimental results for several chosen benchmark problems. The accuracy and fidelity of the IB flow solver to predict flows with irregular IBs are therefore demonstrated. Copyright © 2007 John Wiley & Sons, Ltd.

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