Spatial and temporal stability issues for interfacial flows with surface tension

DOI10.1016/0895-7177(94)90167-8zbMath0816.76050OpenAlexW1990401361MaRDI QIDQ1344128

John S. Lowengrub, Michael J. Shelley, J. Thomas Beale, Thomas Yizhao Hou

Publication date: 9 February 1995

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(94)90167-8

zbMATH Keywords

numerical instabilityboundary integral formulationhigh-order time step restrictionsLaplace-Young boundary conditionstable spatial discretizations

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Boundary element methods applied to problems in fluid mechanics (76M15)

Related Items

Removing the stiffness from interfacial flows with surface tension, Numerical simulations of inviscid capillary pinchoff, Spatial and temporal stability issues for interfacial flows with surface tension, A volume-of-fluid formulation for the study of co-flowing fluids governed by the Hele-Shaw equations, Convergence of a non-stiff boundary integral method for interfacial flows with surface tension, Boundary integral methods for multicomponent fluids and multiphase materials., Convergence of a boundary integral method for 3D interfacial Darcy flow with surface tension

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