A variational principle in terms of stream function for free surface flows and its application to the finite element method

DOI10.1016/0045-7930(79)90030-6zbMath0412.76014OpenAlexW1994842236MaRDI QIDQ1259941

P. L. Betts

Publication date: 1979

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7930(79)90030-6

zbMATH Keywords

gravityfinite element methodvariational principleLaplace equationstream functionfree-surface flowslinear triangular elementspotential flowsBernoulli's relation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Variational principles of physics (49S05)

Related Items (2)

Analysis of two-dimensional cavity flow by finite elements ⋮ Analysis of free-surface flows past overflow gates using finite element method

Cites Work

• A variational principle for a fluid with a free surface
• Non-linear dispersion of water waves
• Gravity currents and related phenomena
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