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Immersed boundary method for generalised finite volume and finite difference Navier-Stokes solvers

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Pinelli, Alfredo and Naqavi, I.Z. and Piomelli, U. (2010) Immersed boundary method for generalised finite volume and finite difference Navier-Stokes solvers. In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting. American Society of Mechanical Engineers, pp. 2361-2370. ISBN 978-0-7918-4948-4

Official URL: http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1621312


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Abstract

In Immersed Boundary Methods (IBM) the effect of complex geometries is introduced through the forces added in the Navier-Stokes solver at the grid points in the vicinity of the immersed boundaries. Most of the methods in the literature have been used with Cartesian grids. Moreover many of the methods developed in the literature do not satisfy some basic conservation properties (the conservation of torque, for instance) on non-uniform meshes. In this paper we will follow the RKPM method originated by Liu et al. [1] to build locally regularized functions that verify a number of integral conditions. These local approximants will be used both for interpolating the velocity field and for spreading the singular force field in the framework of a pressure correction scheme for the incompressible Navier-Stokes equations. We will also demonstrate the robustness and effectiveness of the scheme through various examples.


Item Type:Book Section
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Conference held in Montreal, Quebec, Canada, August 1–5, 2010

Uncontrolled Keywords:Force, Torque, Pressure, Navier-Stokes equations, Functions, Robustness
Subjects:Sciences > Physics
ID Code:21994
Deposited On:19 Jun 2013 11:21
Last Modified:12 Dec 2018 15:07

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