Fourier/Chebyshev methods for the incompressible Navier-Stokes equations in infinite domains
type: Item
instance of: scholarly article
title: Fourier/Chebyshev methods for the incompressible Navier-Stokes equations in infinite domains
zbMATH Open document ID: 0838.76058
DOI: 10.1016/S0021-9991(95)90085-3
author: Roque Corral
author: Javier Jiménez
published in: Journal of Computational Physics
publication date: 1996-06-03T00:00:00Z
review text: A fully spectral method is presented for the unsteady Navier-Stokes equations which are infinite or semi-infinite in one dimension. The scheme assumes that the vorticity in the flow is essentially concentrated in a finite region, which is represented numerically by the standard spectral collocation methods. To accommodate the slow exponential decay of the velocity at infinity, extra expansion functions are introduced, which are handled analytically. A detailed error analysis is presented, and two applications to direct numerical simulation of turbulent flows are discussed. The numerical performance of the scheme is demonstrated for high Reynolds number incompressible flows.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 65M70
zbMATH DE Number: 825399
zbMATH Keywords: expansion functions
zbMATH Keywords: error analysis
zbMATH Keywords: turbulent flows
reviewed by: Wilhelm Heinrichs
MaRDI profile type: Publication
cites work: Q3741282
cites work: Turbulence statistics in fully developed channel flow at low Reynolds number
cites work: Numerical simulation of boundary-layer transition and transition control
cites work: A spectral collocation method for the Navier-Stokes equations
cites work: Spectral methods for the Navier-Stokes equations with one infinite and two periodic directions
cites work: Pressure and time treatment for Chebyshev spectral solution of a Stokes problem
cites work: Spectral Calculations of One-Dimensional Inviscid Compressible Flows
full work available at URL: s0021-9991(95)90085-3
OpenAlex ID: W1980349386
description: scientific article; zbMATH DE number 825399