A rescaling scheme with application to the long-time simulation of viscous fingering in a Hele-Shaw cell

DOI10.1016/j.jcp.2006.12.023zbMath1343.76048OpenAlexW2000251948MaRDI QIDQ2381161

Shuwang Li, John S. Lowengrub, Perry H. Leo

Publication date: 14 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.12.023

zbMATH Keywords

boundary integral methodmoving boundary problemsfractalself-similarHele-ShawSaffman-Taylor instability

Mathematics Subject Classification ID

Related Items (20)

Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell ⋮ Nonlinear simulations of elastic fingering in a Hele-Shaw cell ⋮ Convergence of the boundary integral method for interfacial Stokes flow ⋮ A boundary integral method to investigate pattern formation in a rotating Hele-Shaw cell with time dependent gap ⋮ Controlling Fractal Diffusion of Differently-Sized Soot Particles ⋮ Computation of a Shrinking Interface in a Hele-Shaw Cell ⋮ Sharp-interface problem of the Ohta-Kawasaki model for symmetric diblock copolymers ⋮ A boundary element study of the effect of surface dissolution on the evolution of immiscible viscous fingering within a Hele-Shaw cell ⋮ Unnamed Item ⋮ Nonlinear limiting dynamics of a shrinking interface in a Hele-Shaw cell ⋮ An Efficient Adaptive Rescaling Scheme for Computing Moving Interface Problems ⋮ Dynamics and stability of air bubbles in a porous medium ⋮ A Cartesian Grid-Based Boundary Integral Method for an Elliptic Interface Problem on Closely Packed Cells ⋮ A REVIEW OF ONE-PHASE HELE-SHAW FLOWS AND A LEVEL-SET METHOD FOR NONSTANDARD CONFIGURATIONS ⋮ Nonlinear simulations of vesicle wrinkling ⋮ An adaptive RBF finite collocation approach to track transport processes across moving fronts ⋮ Nonlinear simulation of an elastic tumor-host interface ⋮ Faster convergence and higher accuracy for the Dirichlet-Neumann map ⋮ New exact solutions for Hele-Shaw flow in doubly connected regions ⋮ Superconvergence analysis of FEM for 2D multi-term time fractional diffusion-wave equations with variable coefficient

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