Fast triangulated vortex methods for the 2D Euler equations
type: Item
instance of: scholarly article
title: Fast triangulated vortex methods for the 2D Euler equations
zbMATH Open document ID: 0797.76073
author: John Strain
author: Giovanni Russo
published in: Journal of Computational Physics
publication date: 1994-05-18T00:00:00Z
review text: Vortex methods for inviscid incompressible two-dimensional fluid flow are usually based on blob approximations. This paper presents a vortex method in which the vorticity is approximated by a piecewise polynomial interpolant on a Delaunay triangulation of the vortices. An efficient reconstruction of the Delaunay triangulation at each step makes the method accurate for long times. The vertices of the triangulation move with the fluid velocity, which is reconstructed from the vorticity via a simplified fast multipole method for the Biot-Savart law with a continuous source distribution. Numerical results show that the method is highly accurate over long time intervals.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76B47
zbMATH DE Number: 569505
zbMATH Keywords: circular and elliptical rotating patches
zbMATH Keywords: piecewise polynomial interpolant
zbMATH Keywords: Delaunay triangulation
zbMATH Keywords: Biot-Savart law
zbMATH Keywords: long time intervals
MaRDI profile type: Publication
OpenAlex ID: W1971431485
DOI: 10.1006/JCPH.1994.1065
description: scientific article; zbMATH DE number 569505