A hybrid finite-boundary element method for inviscid flows with free surface

DOI10.1016/0021-9991(92)90001-FzbMath0760.76056OpenAlexW2023239992MaRDI QIDQ1201065

N. A. Pelekasis, John A. Tsamopoulos, George D. Manolis

Publication date: 17 January 1993

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(92)90001-f

zbMATH Keywords

asymptotic solutionsFredholm integral equationscubic B-splinesfourth-order Runge-Kutta integrator

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible inviscid fluids (76B45) Boundary element methods applied to problems in fluid mechanics (76M15) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Numerical simulation of coalescence of inviscid drops at a solid surface, Bjerknes forces between two bubbles. Part 1. Response to a step change in pressure, The evolution of capillary fountains, Nonlinear oscillations of pendant drops, Dynamic simulation of a coated microbubble in an unbounded flow: response to a step change in pressure, Transient response of a capsule subjected to varying flow conditions: Effect of internal fluid viscosity and membrane elasticity, Nonlinear interaction between a boundary layer and a liquid film, Nonlinear oscillations and collapse of elongated bubbles subject to weak viscous effects, Three-dimensional oscillations of inviscid drops induced by surface tension, Nonlinear dynamics and breakup of free-surface flows, Near-monochromatic water waves on the sphere

Cites Work

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• Boundary integral methods for axisymmetric and three-dimensional Rayleigh-Taylor instability problems
• Boundary integral techniques for multi-connected domains
• A practical guide to splines
• A numerical method for studying liquid drop behavior: simple oscillation
• Equilibrium shapes and stability of charged and conducting drops
• Nonlinear oscillations of liquid shells in zero gravity
• Nonlinear oscillations of inviscid drops and bubbles
• Resonant oscillations of inviscid charged drops
• A study of singularity formation in a vortex sheet by the point-vortex approximation
• Transient cavities near boundaries. Part 1. Rigid boundary
• Numerical simulations of nonlinear axisymmetric flows with a free surface
• Oscillations of drops in zero gravity with weak viscous effects
• Vortex simulations of the Rayleigh–Taylor instability
• On the Point Vortex Method
• Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
• The deformation of steep surface waves on water - I. A numerical method of computation
• On Hamilton's principle for surface waves
• The formation of vortices from a surface of discontinuity
• Generalized vortex methods for free-surface flow problems
• Numerical studies of surface-tension effects in nonlinear Kelvin–Helmholtz and Rayleigh–Taylor instability