On the computation of normal modes of a rotating, viscous, incompressible fluid with a capillary free boundary

DOI10.1016/0045-7825(91)90200-PzbMath0747.76100OpenAlexW1986440471MaRDI QIDQ1191112

R. M. S. M. Schulkes, C. Cuvelier

Publication date: 27 September 1992

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(91)90200-p

zbMATH Keywords

variational formulationfinite element discretizationquadratic eigenvalue probleminverse iteration procedure

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) General theory of rotating fluids (76U05) Finite element methods applied to problems in fluid mechanics (76M10) Capillarity (surface tension) for incompressible viscous fluids (76D45)

Cites Work

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• A capillary free boundary problem governed by the Navier-Stokes equations
• Damping of surface waves in an incompressible liquid
• Free Surface Oscillations in a Rotating Liquid
• Axisymmetric liquid sloshing under low-gravity conditions
• The damping of capillary–gravity waves at a rigid boundary
• An efficient method for the computation of static meniscus configurations
• The numerical simulation of the steady movement of a fluid meniscus in a capillary tube
• Vibration of a liquid with a free surface in a spinning spherical tank
• Gravity-capillary waves with edge constraints
• $Ax = \lambda Bx$ and the Generalized Eigenproblem
• On free-surface oscillations in a rotating paraboloid
• Surface waves on a rotating fluid

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