Linear stability of incompressible flow using a mixed finite element method
type: Item
instance of: scholarly article
title: Linear stability of incompressible flow using a mixed finite element method
zbMATH Open document ID: 0908.76051
author: Yan Ding
author: Mutsuto Kawahara
published in: Journal of Computational Physics
publication date: 1999-03-22T00:00:00Z
review text: By means of the fractional step finite element method, the two-dimensional base flows are numerically computed over a range of Reynolds numbers, and then they are perturbed with three-dimensional disturbances. By using linear stability and normal mode analysis, we obtain the equations governing the evolution of perturbation from linearized Navier-Stokes equations with slight compressibility. In terms of the mixed finite element discretization (in which six-node quadratic Lagrange triangular elements with quadratic interpolation for velocities \((P_2)\) and three-node linear Lagrange triangular elements for pressure \((P_1)\) are used), a nonsingular generalized eigenproblem is formulated whose solution gives the dispersion relationship between the complex growth rate and the wave number. As an example, we examine the stability of lid-driven cavity flow.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76E99
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 1160724
zbMATH Keywords: Taylor-Görtler-like vortices
zbMATH Keywords: fractional step finite element method
zbMATH Keywords: three-dimensional disturbances
zbMATH Keywords: normal mode analysis
zbMATH Keywords: slight compressibility
zbMATH Keywords: six-node quadratic Lagrange triangular elements
zbMATH Keywords: quadratic interpolation
zbMATH Keywords: three-node linear Lagrange triangular elements
zbMATH Keywords: nonsingular generalized eigenproblem
zbMATH Keywords: lid-driven cavity flow
MaRDI profile type: Publication
full work available at URL: jcph.1997.5876
OpenAlex ID: W2023381013
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DOI: 10.1006/JCPH.1997.5876
description: scientific article; zbMATH DE number 1160724