A multiresolution remeshed Vortex-In-Cell algorithm using patches

• Published in: Journal of computational physics Vol. 230; no. 17; pp. 6742 - 6755
• Main Authors: Rasmussen, Johannes Tophøj, Cottet, Georges-Henri, Walther, Jens Honoré
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Inc 20.07.2011; Elsevier
• Subjects: 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; 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
• ISSN: 0021-9991; 1090-2716
• DOI: 10.1016/j.jcp.2011.05.006

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.