A multiresolution remeshed Vortex-In-Cell algorithm using patches
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...
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| Published in | Journal of computational physics Vol. 230; no. 17; pp. 6742 - 6755 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Kidlington
Elsevier Inc
20.07.2011
Elsevier |
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| Online Access | Get full text |
| ISSN | 0021-9991 1090-2716 |
| DOI | 10.1016/j.jcp.2011.05.006 |
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| 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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| AbstractList | 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. |
| Author | Cottet, Georges-Henri Rasmussen, Johannes Tophøj Walther, Jens Honoré |
| Author_xml | – sequence: 1 givenname: Johannes Tophøj surname: Rasmussen fullname: Rasmussen, Johannes Tophøj organization: Department of Mechanical Engineering, Technical University of Denmark, Building 403, DK-2800 Kgs. Lyngby, Denmark – sequence: 2 givenname: Georges-Henri surname: Cottet fullname: Cottet, Georges-Henri organization: Laboratoire Jean Kuntzmann, Université Joseph Fourier, 51 rue des Mathématiques, 38041 Grenoble Cedex 9, France – sequence: 3 givenname: Jens Honoré surname: Walther fullname: Walther, Jens Honoré email: jhw@mek.dtu.dk, walther@inf.ethz.ch organization: Department of Mechanical Engineering, Technical University of Denmark, Building 403, DK-2800 Kgs. Lyngby, Denmark |
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| Keywords | Fixed and rotating cylinder Bridge aerodynamics Vortex-In-Cell algorithm Brinkman penalization Multiresolution Patches Boundary conditions Poisson equation Calculation methods Interpolation Algorithms Fast Fourier transforms Vortices Vorticity Circular cylinder Calculation Rotating cylinder Analytical solution |
| Language | English |
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| Snippet | We present a novel multiresolution Vortex-In-Cell algorithm using patches of varying resolution. The Poisson equation relating the fluid vorticity and velocity... |
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| SubjectTerms | Algorithms Bridge aerodynamics Brinkman penalization Computational fluid dynamics Computational techniques Computer simulation Exact sciences and technology Exact solutions Fixed and rotating cylinder Fluid flow Mathematical methods in physics Mathematics Multiresolution Numerical Analysis Patches Physics Poisson equation Vortex-In-Cell algorithm Vortices Vorticity |
| Title | A multiresolution remeshed Vortex-In-Cell algorithm using patches |
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