Repositorio de producción científica de la Universidad de Sevilla

An efficient two-dimensional Vortex method with long time accuracy

 

Advanced Search
 
Opened Access An efficient two-dimensional Vortex method with long time accuracy
Cites

Show item statistics
Icon
Export to
Author: Bless Ranero, Ibrahim
Chacón Rebollo, Tomás
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 1996-08
Published in: SIAM Journal on Numerical Analysis, 33(4), 1425-1450
Document type: Article
Abstract: This paper deals with efficient techniques for the numerical solution of two-dimensional free-space incompressible Euler equations. We develop an algorithm for fast computation of velocity in a vortex method based upon discretization of vorticity by finite elements. We prove that the method with fast computation of velocity is numerically stable and convergent with second-order accuracy. Some standard numerical tests show that the algorithm with Delaunay regridding bears good stability and accuracy properties for long integration times, with a relatively low computational cost. Moreover, the algorithm is found to be more accurate than high-order vortex-blob methods with regridding for long enough integration times.
Cite: Bless Ranero, I. y Chacón Rebollo, T. (1996). An efficient two-dimensional Vortex method with long time accuracy. SIAM Journal on Numerical Analysis, 33 (4), 1425-1450.
Size: 2.641Mb
Format: PDF

URI: http://hdl.handle.net/11441/41328

DOI: 10.1137/S0036142993249322

See editor´s version

This work is under a Creative Commons License: 
Attribution-NonCommercial-NoDerivatives 4.0 Internacional

This item appears in the following Collection(s)