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math.NA2023
Homogenized lattice Boltzmann methods for fluid flow through porous media -- part I: kinetic model derivation
Stephan Simonis, Nicolas Hafen, Julius Jeßberger +3
In this series of studies, we establish homogenized lattice Boltzmann methods (HLBM) for simulating fluid flow through porous media. Our contributions in part I are twofold. First,…
math.NA2022★ 27 cited
Consistent lattice Boltzmann methods for the volume averaged Navier-Stokes equations
Fedor Bukreev, Stephan Simonis, Adrian Kummerländer +2
We derive a novel lattice Boltzmann scheme, which uses a pressure correction forcing term for approximating the volume averaged Navier-Stokes equations (VANSE) in up to three dimen…