Hele-Shaw flow with a cusping free boundary

DOI10.1016/0021-9991(81)90051-6zbMath0482.76089OpenAlexW1985917424MaRDI QIDQ1162891

Gunter H. Meyer

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-9991(81)90051-6

zbMATH Keywords

suctionHele-Shaw flowmulti-grid methodcusping free boundarynontrivial model problemtwo-dimensional transient

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Incompressible viscous fluids (76D99) Basic methods in fluid mechanics (76M99)

Related Items (6)

Unstable fronts in a porous medium ⋮ The transient lubrication problem as a generalized Hele-Shaw type problem ⋮ Numerical solutions for unstable Hele--Shaw flows ⋮ Rational approximation schemes for unstable Hele-Shaw flows ⋮ Numerical experiments on Hele Shaw flow with a sharp interface ⋮ Computation of Hele-Shaw flows with free boundaries

Cites Work

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• A conservative finite element method for one-dimensional Stefan problems with appearing and disappearing phases
• Growth of Instabilities on Displacement Fronts in Porous Media
• On a Variational Inequality Formulation of an Electrochemical Machining Moving Boundary Problem and its Approximation by the Finite Element Method
• The Method of Lines and Invariant Imbedding for Elliptic and Parabolic Free Boundary Problems
• Multi-Level Adaptive Solutions to Boundary-Value Problems

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