An efficient spectral-projection method for the Navier-Stokes equations in cylindrical geometries. I: Axisymmetric cases
type: Item
instance of: scholarly article
title: An efficient spectral-projection method for the Navier-Stokes equations in cylindrical geometries. I: Axisymmetric cases
zbMATH Open document ID: 0908.76068
author: J. M. Lopez
author: Jie Shen
published in: Journal of Computational Physics
publication date: 1998-07-29T00:00:00Z
review text: A numerical scheme is presented for the axisymmetric Navier-Stokes equations in primitive variables in a cylinder. The scheme is based on a spectral-Galerkin approximation for the space variables and a second-order projection scheme for the time variable. The spectral-projection scheme is implemented to simulate the unsteady incompressible axisymmetric flow with a singular boundary condition which is approximated by using a smooth boundary condition. A comparison is made with a standard second-order (in time and space) finite difference scheme based on a stream function-vorticity formulation and with available experimental data.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 65M70
zbMATH DE Number: 1160726
zbMATH Keywords: spectral-Galerkin approximation
zbMATH Keywords: second-order projection scheme
zbMATH Keywords: singular boundary condition
MaRDI profile type: Publication
full work available at URL: jcph.1997.5872
OpenAlex ID: W2787201801
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DOI: 10.1006/JCPH.1997.5872
description: scientific article; zbMATH DE number 1160726