A pseudospectral method for the solution of the two-dimensional Navier- Stokes equations in the primitive variable formulation
type: Item
instance of: scholarly article
title: A pseudospectral method for the solution of the two-dimensional Navier- Stokes equations in the primitive variable formulation
zbMATH Open document ID: 0601.76020
DOI: 10.1016/0021-9991(86)90268-8
author: Dimitri Hatziavramidis
author: Hwar-Ching Ku
published in: Journal of Computational Physics
publication date: 1986-01-01T00:00:00Z
review text: A pseudospectral method was developed for the solution of the Navier- Stokes equations for incompressible flows in the primitive-variable formulation. The method employs Chebyshev expansion methods in order to generate approximations to the momentum and pressure equations and utilizes a well-known fractional time-step procedure in obtaining a solution to these equations. Results for the buoyancy-driven flow in a square enclosure with nonisothermal vertical and insulated horizontal walls are represented. The proposed method is easy to implement and can accurately reproduce the physics of the flow under consideration from transient to steady state.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3970297
zbMATH Keywords: pseudospectral method
zbMATH Keywords: primitive-variable formulation
zbMATH Keywords: Chebyshev expansion methods
zbMATH Keywords: fractional time-step procedure
zbMATH Keywords: buoyancy-driven flow
zbMATH Keywords: insulated horizontal walls
zbMATH Keywords: steady state
MaRDI profile type: Publication
full work available at URL: 0021-9991(86)90268-8
OpenAlex ID: W2084050045
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description: scientific article; zbMATH DE number 3970297