A higher-order hypersingular boundary element method for the modeling of vortex sheet dynamics

DOI10.1016/S0955-7997(97)00106-9zbMath0957.76045OpenAlexW1966145971MaRDI QIDQ1961137

Zhimin Hu, Stephan T. Grilli

Publication date: 7 March 2000

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0955-7997(97)00106-9

zbMATH Keywords

circular cylinderinterfacial tensioninterfacial dynamicshypersingular integralsvortex sheetsinterfacial waveshigher-order boundary element methodBiot-Savart integral equationsexplicit Taylor expansion schemenonlinear surface waveperiodic Kelvin-Helmholtz instabilitytime updating

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Boundary element methods applied to problems in fluid mechanics (76M15) Interfacial stability and instability in hydrodynamic stability (76E17) Internal waves for incompressible inviscid fluids (76B55)

Cites Work

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• Numerical modeling of wave breaking induced by fixed or moving boundaries
• On a vortex sheet approach to the numerical calculation of water waves
• A study of singularity formation in a vortex sheet by the point-vortex approximation
• A test of the method of Fink & Soh for following vortex-sheet motion
• Analytic structure of vortex sheet dynamics. Part 1. Kelvin–Helmholtz instability
• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
• A new approach to roll-up calculations of vortex sheets
• The spontaneous appearance of a singularity in the shape of an evolving vortex sheet
• A numerical study of the roll-up of a finite vortex sheet
• Generalized vortex methods for free-surface flow problems

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