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An accurate cartesian method for incompressible flows with moving boundaries

Michel Bergmann 1, 2 Jessica Hovnanian 2 Angelo Iollo 2 
2 MC2 - Modélisation, contrôle et calcul
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5251
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
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Submitted on : Wednesday, November 20, 2013 - 8:08:57 PM
Last modification on : Wednesday, February 2, 2022 - 3:53:28 PM
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  • HAL Id : hal-00906897, version 1



Michel Bergmann, Jessica Hovnanian, Angelo Iollo. An accurate cartesian method for incompressible flows with moving boundaries. Communications in Computational Physics, Global Science Press, 2013. ⟨hal-00906897⟩



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