A spectral collocation method for the Navier-Stokes equations
type: Item
instance of: scholarly article
title: A spectral collocation method for the Navier-Stokes equations
zbMATH Open document ID: 0573.76036
DOI: 10.1016/0021-9991(85)90061-0
author: T. A. Zang
author: Mujeeb R. Malik
author: M. Yousuff Hussaini
published in: Journal of Computational Physics
publication date: 1985-01-01T00:00:00Z
full work available at URL: http://hdl.handle.net/2060/19840021090
review text: A Fourier-Chebyshev spectral method for the incompressible Navier-Stokes equations is described. It is applicable to a variety of problems including some with fluid properties which vary strongly both in the normal direction and in time. In this fully spectral algorithm, a preconditioned iterative technique is used for solving the implicit equations arising from semi-implicit treatment of pressure, mean advection, and vertical diffusion terms. The algorithm is tested by applying it to hydrodynamic stability problems in channel flow and in external boundary layers with both constant and variable viscosity.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 76E99
zbMATH DE Number: 3915858
zbMATH Keywords: finite difference preconditioning
zbMATH Keywords: Fourier-Chebyshev spectral method
zbMATH Keywords: preconditioned iterative technique
zbMATH Keywords: channel flow
zbMATH Keywords: external boundary layers
MaRDI profile type: Publication
OpenAlex ID: W2019127503
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description: scientific article; zbMATH DE number 3915858