A multiresolution remeshed Vortex-In-Cell algorithm using patches

Johannes Tophøj Rasmussen; Georges-Henri Cottet; Jens Honore Walther

doi:10.1016/j.jcp.2011.05.006

A multiresolution remeshed Vortex-In-Cell algorithm using patches

Johannes Tophøj Rasmussen, Georges-Henri Cottet, Jens Honore Walther

Université Joseph Fourier - Grenoble 1

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

We present a novel multiresolution Vortex-In-Cell algorithm using patches of varying resolution. The Poisson equation relating the fluid vorticity and velocity is solved using Fast Fourier Transforms subject to free space boundary conditions. Solid boundaries are implemented using the semi-implicit formulation of Brinkman penalization and we show that the penalization can be carried out as a simple interpolation. We validate the implementation against the analytic solution to the Perlman test case and by free-space simulations of the onset flow around fixed and rotating circular cylinders and bluff body flows around bridge sections.

Original language	English
Journal	Journal of Computational Physics
Volume	230
Issue number	17
Pages (from-to)	6742-6755
ISSN	0021-9991
DOIs	https://doi.org/10.1016/j.jcp.2011.05.006
Publication status	Published - 2011

Keywords

Vortex-In-Cell algorithm
Bridge aerodynamics
Multiresolution
Brinkman penalization
Patches
Fixed and rotating cylinder

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10.1016/j.jcp.2011.05.006

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title = "A multiresolution remeshed Vortex-In-Cell algorithm using patches",

abstract = "We present a novel multiresolution Vortex-In-Cell algorithm using patches of varying resolution. The Poisson equation relating the fluid vorticity and velocity is solved using Fast Fourier Transforms subject to free space boundary conditions. Solid boundaries are implemented using the semi-implicit formulation of Brinkman penalization and we show that the penalization can be carried out as a simple interpolation. We validate the implementation against the analytic solution to the Perlman test case and by free-space simulations of the onset flow around fixed and rotating circular cylinders and bluff body flows around bridge sections.",

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AU - Rasmussen, Johannes Tophøj

AU - Cottet, Georges-Henri

AU - Walther, Jens Honore

PY - 2011

Y1 - 2011

N2 - We present a novel multiresolution Vortex-In-Cell algorithm using patches of varying resolution. The Poisson equation relating the fluid vorticity and velocity is solved using Fast Fourier Transforms subject to free space boundary conditions. Solid boundaries are implemented using the semi-implicit formulation of Brinkman penalization and we show that the penalization can be carried out as a simple interpolation. We validate the implementation against the analytic solution to the Perlman test case and by free-space simulations of the onset flow around fixed and rotating circular cylinders and bluff body flows around bridge sections.

AB - We present a novel multiresolution Vortex-In-Cell algorithm using patches of varying resolution. The Poisson equation relating the fluid vorticity and velocity is solved using Fast Fourier Transforms subject to free space boundary conditions. Solid boundaries are implemented using the semi-implicit formulation of Brinkman penalization and we show that the penalization can be carried out as a simple interpolation. We validate the implementation against the analytic solution to the Perlman test case and by free-space simulations of the onset flow around fixed and rotating circular cylinders and bluff body flows around bridge sections.

KW - Vortex-In-Cell algorithm

KW - Bridge aerodynamics

KW - Multiresolution

KW - Brinkman penalization

KW - Patches

KW - Fixed and rotating cylinder

U2 - 10.1016/j.jcp.2011.05.006

DO - 10.1016/j.jcp.2011.05.006

M3 - Journal article

SN - 0021-9991

VL - 230

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EP - 6755

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 17

ER -

A multiresolution remeshed Vortex-In-Cell algorithm using patches

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