Lattice Boltzmann equation hydrodynamics

Lattice Boltzmann equation hydrodynamics

By inserting position and time dependent "source" or "forcing" terms into the microscopic evolution equation of a lattice Boltzmann fluid and treating the generalized scheme within the usual Chapman-Enskog methodology, we show that the emergent dynamics of the lattice fluid may b...

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Veröffentlicht in:Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Statistical physics, plasmas, fluids, and related interdisciplinary topics, 2001-07, Vol.64 (1 Pt 1), p.011208-011208, Article 011208
Hauptverfasser: Halliday, I, Hammond, L A, Care, C M, Good, K, Stevens, A
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container_issue 1 Pt 1
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container_title Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
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creator Halliday, I
Hammond, L A
Care, C M
Good, K
Stevens, A
description By inserting position and time dependent "source" or "forcing" terms into the microscopic evolution equation of a lattice Boltzmann fluid and treating the generalized scheme within the usual Chapman-Enskog methodology, we show that the emergent dynamics of the lattice fluid may be usefully transformed. Our method of adjustment is demonstrated by implementing the cylindrical polar coordinate form of the continuity and momentum equations on a rectangular lattice and generating results for pipe flow. With straightforward systematic adjustment of the simulation, our approach produces results in excellent agreement with theory.
doi_str_mv 10.1103/PhysRevE.64.011208
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title Lattice Boltzmann equation hydrodynamics
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