Lattice Boltzmann approach for complex nonequilibrium flows | Zendy

Andrea Montessori | Zendy; Pietro Prestininzi | Zendy; Michele La Rocca | Zendy; Sauro Succi | Zendy

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Lattice Boltzmann approach for complex nonequilibrium flows

Author(s) -

Andrea Montessori,

Pietro Prestininzi,

Michele La Rocca,

Sauro Succi

Publication year - 2015

Publication title -

physical review e

Language(s) - English

Resource type - Journals

eISSN - 1550-2376

pISSN - 1539-3755

DOI - 10.1103/physreve.92.043308

Subject(s) - lattice boltzmann methods , non equilibrium thermodynamics , knudsen number , bhatnagar–gross–krook operator , statistical physics , boltzmann equation , hpp model , physics , isotropy , direct simulation monte carlo , classical mechanics , flow (mathematics) , mechanics , mathematics , thermodynamics , quantum mechanics , turbulence , statistics , dynamic monte carlo method , reynolds number , monte carlo method

We present a lattice Boltzmann realization of Grad's extended hydrodynamic approach to nonequilibrium flows. This is achieved by using higher-order isotropic lattices coupled with a higher-order regularization procedure. The method is assessed for flow across parallel plates and three-dimensional flows in porous media, showing excellent agreement of the mass flow with analytical and numerical solutions of the Boltzmann equation across the full range of Knudsen numbers, from the hydrodynamic regime to ballistic motion

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