The singular perturbation of surface tension in Hele-Shaw flows

DOI10.1017/S0022112099007703zbMath0991.76020OpenAlexW2078423435MaRDI QIDQ4496415

Thomas Yizhao Hou, Hector D. Ceniceros

Publication date: 4 March 2001

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112099007703

zbMATH Keywords

numerical methodsurface tensionnoise sensitivityHele-Shaw interfaceparametrization of interfacescaling of evolution equationssurface-tension-induced complex singularity

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Capillarity (surface tension) for incompressible viscous fluids (76D45) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (9)

The immersed interface method for axis-symmetric problems and application to the Hele-Shaw flow ⋮ The vanishing surface tension limit of the Muskat problem ⋮ Efficient order-adaptive methods for polymer self-consistent field theory ⋮ Viscous fingering as a paradigm of interfacial pattern formation: Recent results and new challenges ⋮ A REVIEW OF ONE-PHASE HELE-SHAW FLOWS AND A LEVEL-SET METHOD FOR NONSTANDARD CONFIGURATIONS ⋮ The zero surface tension limit of two-dimensional interfacial Darcy flow ⋮ Boundary integral methods for multicomponent fluids and multiphase materials. ⋮ Evolution of material voids for highly anisotropic surface energy ⋮ The zero surface tension limit of three-dimensional interfacial Darcy flow

Uses Software

• MPFUN

This page was built for publication: The singular perturbation of surface tension in Hele-Shaw flows