A variational approach for modelling surface tension effects in inviscid fluids
type: Item
instance of: scholarly article
title: A variational approach for modelling surface tension effects in inviscid fluids
zbMATH Open document ID: 0806.76042
DOI: 10.1007/BF00350281
author: E. Kock
author: Lorraine G. Olson
published in: Computational Mechanics
publication date: 1995-02-16T00:00:00Z
review text: By employing a variational principle similar to Hamilton's principle, a finite element solution method for a fairly general class of inviscid, compressible fluid flows with flexible structural interfaces and/or free surfaces was developed in a previous paper [\textit{E. Kock} and \textit{L. Olson}, Int. J. Numer. Methods Eng. 31, No. 3, 463-491 (1991)]. In this tudy, surface tension effects are added to the existing formulation by including the surface energy. We demonstrate the finite element implementation on test cases with analytical solutions: nonlinear static analyses involving a capillary tube and a droplet on a plane and linear frequency analyses of capillary/gravity waves, jet vibrations, and bubble oscillations.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76M30
Mathematics Subject Classification ID: 76N10
zbMATH DE Number: 622185
zbMATH Keywords: flexible structural interfaces
zbMATH Keywords: free surfaces
zbMATH Keywords: surface energy
zbMATH Keywords: capillary tube
zbMATH Keywords: droplet on a plane
zbMATH Keywords: linear frequency analyses
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 622185