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Non-Newtonian fluid flow in porous media

Autor: Bowers, Christopher A., Miller, Cass T.

Single fluid porous medium systems are typically modeled at an averaged length scale termed the macroscale using Darcy's law. Standard approaches for modeling macroscale single fluid phase flow of non-Newtonian fluids extend Darcy's law, using an eff

Externí odkaz: http://arxiv.org/abs/1911.10570

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An Adaptive Volumetric Flux Boundary Condition for Lattice Boltzmann Methods

Autor: McClure, James E., Li, Zhe, Sheppard, Adrian P., Miller, Cass T.

This paper presents a spatially and temporally adaptive boundary condition to specify the volumetric flux for lattice Boltzmann methods. The approach differs from standard velocity boundary conditions because it allows the velocity to vary over the b

Externí odkaz: http://arxiv.org/abs/1806.10589

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A geometric state function for two-fluid flow in porous media

Autor: McClure, James E., Armstrong, Ryan T., Berrill, Mark A., Schlüter, Steffen, Berg, Steffen, Gray, William G., Miller, Cass T.

Publikováno v: Phys. Rev. Fluids 3, 084306 (2018)

Models that describe two-fluid flow in porous media suffer from a widely-recognized problem that the constitutive relationships used to predict capillary pressure as a function of the fluid saturation are non-unique, thus requiring a hysteretic descr

Externí odkaz: http://arxiv.org/abs/1805.11032

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Long-time behaviour of degenerate diffusions: UFG-type SDEs and time-inhomogeneous hypoelliptic processes

Autor: Cass, T., Crisan, D., Dobson, P., Ottobre, M.

We study the long time behaviour of a large class of diffusion processes on $R^N$, generated by second order differential operators of (possibly) degenerate type. The operators that we consider {\em need not} satisfy the H\"ormander condition. Instea

Externí odkaz: http://arxiv.org/abs/1805.01350

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