Finite element analysis of the stability of fluid motions
type: Item
instance of: scholarly article
title: Finite element analysis of the stability of fluid motions
zbMATH Open document ID: 0652.76032
DOI: 10.1016/0021-9991(88)90006-X
author: H. F. Voyé
author: B. D. Reddy
published in: Journal of Computational Physics
publication date: 1988-01-01T00:00:00Z
review text: The linear and global theories of stability of buoyancy-driven flows are reviewed, and corresponding eigenvalue problems whose eigenvalues give critical values of Rayleigh number are formulated in variational form. Penalty-finite element approximations of these problems are constructed. After a discussion of the properties of the solutions, the formulation is applied to the problem of stability of a container of fluid containing internal heat sources and heated from below.
Mathematics Subject Classification ID: 76E15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 4064653
zbMATH Keywords: global theories of stability
zbMATH Keywords: buoyancy-driven flows
zbMATH Keywords: eigenvalue problems
zbMATH Keywords: Penalty-finite element approximations
MaRDI profile type: Publication
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full work available at URL: 0021-9991(88)90006-x
OpenAlex ID: W2025637662
description: scientific article; zbMATH DE number 4064653