Boundary surface dynamics: An algorithm for stratified geostrophic flows
type: Item
instance of: scholarly article
title: Boundary surface dynamics: An algorithm for stratified geostrophic flows
zbMATH Open document ID: 0799.76067
author: Fernando Viera
published in: Journal of Computational Physics
publication date: 1994-11-14T00:00:00Z
review text: Assuming three-dimensional stratified geostrophic vortices of finite volume and potential vorticity of arbitrary vertical structure but piecewise-constant distribution in the horizontal direction, we derive equations for the velocity field in terms of surface integrals over the boundary of the vortex regions. Using conservation of quasi-geostrophic potential vorticity and the concepts of contour dynamics, the three- dimensional problem is reduced to the Lagrangian evolution of the boundary surface enclosing the vortex region, thus decreasing the number of dimensions by one. The equations are discretized in space and time giving a simple and robust algorithm for the evolution of the flow with specified initial conditions.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76B47
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 569507
zbMATH Keywords: interaction of two cylindrical vortices
zbMATH Keywords: potential vorticity
zbMATH Keywords: surface integrals
zbMATH Keywords: contour dynamics
zbMATH Keywords: Lagrangian evolution
MaRDI profile type: Publication
full work available at URL: jcph.1994.1067
OpenAlex ID: W2063604273
DOI: 10.1006/JCPH.1994.1067
description: scientific article; zbMATH DE number 569507