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An Accurate Cartesian Method for Incompressible Flows with Moving Boundaries

Published online by Cambridge University Press:  03 June 2015

M. Bergmann ,
J. Hovnanian  and
A. Iollo
M. Bergmann*
Affiliation:
Inria, F-33400 Talence, France, Univ. Bordeaux, 1MB, UMR 5251, F-33400 Talence, France, CNRS, 1MB, UMR 5251, F-33400 Talence, France
J. Hovnanian*
Affiliation:
Inria, F-33400 Talence, France, Univ. Bordeaux, 1MB, UMR 5251, F-33400 Talence, France, CNRS, 1MB, UMR 5251, F-33400 Talence, France
A. Iollo*
Affiliation:
Inria, F-33400 Talence, France, Univ. Bordeaux, 1MB, UMR 5251, F-33400 Talence, France, CNRS, 1MB, UMR 5251, F-33400 Talence, France
*
Corresponding author.Email:michel.bergmann@inria.fr
Email:jesshovna@msn.com
Email:angelo.iollo@math.u-bordeaux1.fr
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Abstract

An accurate cartesian method is devised to simulate incompressible viscous flows past an arbitrary moving body. The Navier-Stokes equations are spatially discretized onto a fixed Cartesian mesh. The body is taken into account via the ghost-cell method and the so-called penalty method, resulting in second-order accuracy in velocity. The accuracy and the efficiency of the solver are tested through two-dimensional reference simulations. To show the versatility of this scheme we simulate a three-dimensional self propelled jellyfish prototype.

Keywords

68Uxx76Viscous incompressible flowimmersed boundary methodpenalty methodcartesian gridself-propelled jellyfish
Type
Research Article
Information
Communications in Computational Physics , Volume 15 , Issue 5 , May 2014 , pp. 1266 - 1290
Copyright
Copyright © Global Science Press Limited 2014

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