Computation of Hele-Shaw flows with free boundaries

DOI10.1016/0021-9991(85)90027-0zbMath0573.76043OpenAlexW2024228282MaRDI QIDQ1062853

S. D. Howison, Joyce M. Aitchison

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-9991(85)90027-0

zbMATH Keywords

boundary integral methodfree boundaryHele-Shaw flowsconformal mapping on unit circleflow in a channel with parallel wallsflows with suction from a point sink

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Basic methods in fluid mechanics (76M99)

Related Items (8)

On the motion of unsteady translating bubbles in an unbounded Hele-Shaw cell ⋮ Incompressible flow in porous media with two moving boundaries ⋮ Numerical solution of the Hele-Shaw equations ⋮ A numerical study of unstable Hele-Shaw flow ⋮ Boundary approximation methods for potential problems associated with moving boundary problems ⋮ Numerical solutions for unstable Hele--Shaw flows ⋮ Rational approximation schemes for unstable Hele-Shaw flows ⋮ Inertial effects on viscous fingering in the complex plane

Cites Work

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• Hele-Shaw flow with a cusping free boundary
• Fast Fourier Methods in Computational Complex Analysis
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• EXACT SOLUTIONS FOR THE GROWTH OF FINGERS FROM A FLAT INTERFACE BETWEEN TWO FLUIDS IN A POROUS MEDIUM OR HELE-SHAW CELL
• A variational inequality approach to Hele-Shaw flow with a moving boundary
• The effect of surface tension on the shape of fingers in a Hele Shaw cell
• Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel

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