Convergence of a non-stiff boundary integral method for interfacial flows with surface tension

DOI10.1090/S0025-5718-98-00911-9zbMath0905.76012OpenAlexW2015566483MaRDI QIDQ4372687

Hector D. Ceniceros, Thomas Yizhao Hou

Publication date: 16 December 1997

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-98-00911-9

zbMATH Keywords

energy estimatesnumerical filteringsingular termsCFL constraintdrop formation in falling fluidHele-Shaw interfacehigh order stiffnessroll-up of interfacetrapped bubblestwo-density fluid interfaces

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Capillarity (surface tension) for incompressible viscous fluids (76D45) Reaction effects in flows (76V05)

Related Items

Singularities in the complex physical plane for deep water waves ⋮ Numerical simulations of inviscid capillary pinchoff ⋮ Boundary integral methods for dispersive equations, Airy flow and the modified Korteweg de Vries equation ⋮ Convergence of the boundary integral method for interfacial Stokes flow ⋮ Coalescence of two equal-sized deformable drops in an axisymmetric flow ⋮ Vortex sheet motion in incompressible Richtmyer–Meshkov and Rayleigh–Taylor instabilities with surface tension ⋮ Bubble merger and scaling law of the Rayleigh-Taylor instability with surface tension ⋮ Dynamic generation of capillary waves ⋮ Study of the long-time dynamics of a viscous vortex sheet with a fully adaptive nonstiff method ⋮ Boundary integral methods for multicomponent fluids and multiphase materials. ⋮ The nonlinear evolution of vortex sheets with surface tension in axisymmetric flows ⋮ The zero surface tension limit of three-dimensional interfacial Darcy flow ⋮ Numerical simulation of single- and multi-mode Rayleigh-Taylor instability with surface tension in two dimensions ⋮ Corner and finger formation in Hele-Shaw flow with kinetic undercooling regularisation ⋮ Convergence of a boundary integral method for 3D interfacial Darcy flow with surface tension

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