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A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries

Authors:

A. von LoebbeckeAuthors Info & Claims

Journal of Computational Physics, Volume 227, Issue 10

Pages 4825 - 4852

https://doi.org/10.1016/j.jcp.2008.01.028

Published: 01 May 2008 Publication History

Abstract

A sharp interface immersed boundary method for simulating incompressible viscous flow past three-dimensional immersed bodies is described. The method employs a multi-dimensional ghost-cell methodology to satisfy the boundary conditions on the immersed boundary and the method is designed to handle highly complex three-dimensional, stationary, moving and/or deforming bodies. The complex immersed surfaces are represented by grids consisting of unstructured triangular elements; while the flow is computed on non-uniform Cartesian grids. The paper describes the salient features of the methodology with special emphasis on the immersed boundary treatment for stationary and moving boundaries. Simulations of a number of canonical two- and three-dimensional flows are used to verify the accuracy and fidelity of the solver over a range of Reynolds numbers. Flow past suddenly accelerated bodies are used to validate the solver for moving boundary problems. Finally two cases inspired from biology with highly complex three-dimensional bodies are simulated in order to demonstrate the versatility of the method.

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A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries

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Published In

cover image Journal of Computational Physics

Journal of Computational Physics Volume 227, Issue 10

May, 2008

567 pages

ISSN:0021-9991

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Copyright © Elsevier Inc. © 2008.

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Academic Press Professional, Inc.

United States

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Published: 01 May 2008

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