Nonlinear correction to Darcy's law for a flow through periodic arrays of elliptic cylinders

DOI10.1016/S0378-4371(00)00329-0zbMath1083.76577MaRDI QIDQ5933055

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Publication date: 31 May 2001

Published in: Physica A (Search for Journal in Brave)

zbMATH Keywords

lattice Boltzmann method

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Particle methods and lattice-gas methods (76M28)

Related Items (6)

Lattice Boltzmann modeling of pore-scale fluid flow through idealized porous media ⋮ Lattice Boltzmann methods in porous media simulations: from laminar to turbulent flow ⋮ Non-Darcy flow in disordered porous media: a lattice Boltzmann study ⋮ A modified memory-based mathematical model describing fluid flow in porous media ⋮ Large Scale Lattice Boltzmann Simulation for the Coupling of Free and Porous Media Flow ⋮ Pore scale study of permeability and tortuosity for flow through particulate media using Lattice Boltzmann method

Cites Work

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• Lattice BGK Models for Navier-Stokes Equation
• Slow flow past periodic arrays of cylinders with application to heat transfer
• Nonlinear corrections to Darcy's law at low Reynolds numbers
• Moderate Reynolds number flows through periodic and random arrays of aligned cylinders
• Flow in random porous media: mathematical formulation, variational principles, and rigorous bounds
• The effect of weak inertia on flow through a porous medium
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

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