Interaction of decaying trailing vortices in spanwise shear flow
type: Item
instance of: scholarly article
title: Interaction of decaying trailing vortices in spanwise shear flow
zbMATH Open document ID: 0612.76117
DOI: 10.1016/0045-7930(87)90006-5
author: C. H. Liu
author: Lu Ting
published in: Computers and Fluids
publication date: 1987-01-01T00:00:00Z
review text: The drift of trailing vortices in a cross wind near the ground is modeled by an unsteady two-dimensional, rotational flowfield where there are concentrations of large vorticity in spots having small effective sizes and finite total strengths. The problem is analyzed by combining the matched asymptotic solution of the decaying vortical spots and the Euler solution of the background unsteady rotational flow. Using the method of averaging, we develop a numerical scheme in which the grid size and time step depend only on the length and velocity scales of the background flow and not on the effective core size of vortical spots. Numerical results are presented to illustrate the interaction between the trajectories of the vortical spots and the convection of vorticity in the background flowfield.
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 76B60
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3991184
zbMATH Keywords: trailing vortices
zbMATH Keywords: unsteady two-dimensional, rotational flowfield
zbMATH Keywords: matched asymptotic solution
zbMATH Keywords: Euler solution
zbMATH Keywords: background unsteady rotational flow
zbMATH Keywords: method of averaging
zbMATH Keywords: numerical scheme
zbMATH Keywords: convection of vorticity
describes a project that uses: FISHPAK
MaRDI profile type: Publication
full work available at URL: 0045-7930(87)90006-5
OpenAlex ID: W1967317598
cites work: Q3944184
cites work: Motion and Decay of a Vortex in a Nonuniform Stream
cites work: Q4096019
cites work: Perturbation methods in applied mathematics
cites work: Q5536978
cites work: Algorithm 541: Efficient Fortran Subprograms for the Solution of Separable Elliptic Partial Differential Equations [D3]
cites work: On the application of the integral invariants and decay laws of vorticity distributions
cites work: Q5558293
description: scientific article; zbMATH DE number 3991184