Contour dynamics for the Euler equations: Curvature controlled initial node placement and accuracy
type: Item
instance of: scholarly article
title: Contour dynamics for the Euler equations: Curvature controlled initial node placement and accuracy
zbMATH Open document ID: 0649.76010
DOI: 10.1016/0021-9991(88)90054-X
author: S. H. Smith
published in: Journal of Computational Physics
publication date: 1988-01-01T00:00:00Z
review text: We have performed a systematic study of several contour dynamical algorithms for the Euler equations for short times. We have used the Kirchhoff elliptical vortex alone and subject to weak perturbations. We have found that if the initial placement of nodes is such that the internodal distance is proportional to \((curvature)^{-p}\) where \(p\approx 1/3\), then errors in short time calculations are minimized. This follows because the node density is invariant in time.
Mathematics Subject Classification ID: 76B47
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4060863
zbMATH Keywords: curvature controlled initial node placement
zbMATH Keywords: accuracy
zbMATH Keywords: several contour dynamical algorithms
zbMATH Keywords: Euler equations
zbMATH Keywords: Kirchhoff elliptical vortex
zbMATH Keywords: weak perturbations
MaRDI profile type: Publication
cites work: Contour dynamics for the Euler equations in two dimensions
cites work: Computational vortex dynamics in two and three dimensions
cites work: The formation of vortices from a surface of discontinuity
cites work: Desingularization of periodic vortex sheet roll-up
cites work: On a generalization of Kaden's problem
cites work: Regularization of contour dynamical algorithms. I. Tangential regularization
cites work: Ionospheric plasma cloud dynamics via regularized contour dynamics. I. Stability and nonlinear evolution of one-contour models
cites work: Steady-state solutions of the Euler equations in two dimensions: Rotating and translating V-states with limiting cases. I: Numerical algorithms and results
cites work: Coaxial scattering of Euler-equation translating V -states via contour dynamics
cites work: A simple adaptive technique for nonlinear wave problems
full work available at URL: 0021-9991(88)90054-x
OpenAlex ID: W1963962139
description: scientific article; zbMATH DE number 4060863