Please use this identifier to cite or link to this item:
Type: Artigo de periódico
Title: Numerical evidence of nonuniqueness in the evolution of vortex sheets
Author: Lopes, MC
Lowengrub, J
Lopes, HJN
Zheng, YX
Abstract: We consider a special configuration of vorticity that consists of a pair of externally tangent circular vortex sheets, each having a circularly symmetric core of bounded vorticity concentric to the sheet, and each core precisely balancing the vorticity mass of the sheet. This configuration is a stationary weak solution of the 2D incompressible Euler equations. We propose to perform numerical experiments to verify that certain approximations of this flow configuration converge to a non-stationary weak solution. Preliminary simulations presented here suggest this is indeed the case. We establish a convergence theorem for the vortex blob method that applies to this problem. This theorem and the preliminary calculations we carried out support the existence of two distinct weak solutions with the same initial data.
Subject: nonuniqueness
vortex sheets
vortex methods
Euler equations
Country: França
Editor: Edp Sciences S A
Rights: aberto
Identifier DOI: 10.1051/m2an:2006012
Date Issue: 2006
Appears in Collections:Unicamp - Artigos e Outros Documentos

Files in This Item:
File Description SizeFormat 
WOS000238446400001.pdf2.33 MBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.