A finite-difference scheme for three-dimensional incompressible flows in cylindrical coordinates
type: Item
instance of: scholarly article
title: A finite-difference scheme for three-dimensional incompressible flows in cylindrical coordinates
zbMATH Open document ID: 0849.76055
published in: Journal of Computational Physics
publication date: 1996-07-02T00:00:00Z
review text: A finite-difference scheme for the direct simulation of the incompressible time-dependent three-dimensional Navier-Stokes equations in cylindrical coordinates is presented. The equations in primitive variables \((v_r, v_\theta, v_z\) and \(p)\) are solved by a fractional-step method together with an approximate-factorization technique. The method is tested by comparing the evolution of a free vortex ring and its collision with a wall with the theory, experiments, and other numerical results. The formation of a tripolar vortex, where the highest vorticity is at \(r = 0\), is also considered. Finally, to emphasize the accurate treatment near the axis, the motion of a Lamb dipole crossing the origin is simulated.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 881863
zbMATH Keywords: primitive variables
zbMATH Keywords: fractional-step method
zbMATH Keywords: approximate-factorization technique
zbMATH Keywords: free vortex ring
zbMATH Keywords: tripolar vortex
zbMATH Keywords: Lamb dipole
author: R. Verzicco
author: P. Orlandi
MaRDI profile type: Publication
full work available at URL: jcph.1996.0033
OpenAlex ID: W1979712049
DOI: 10.1006/JCPH.1996.0033
description: scientific article; zbMATH DE number 881863