Lattice Boltzmann equation hydrodynamics

HALLIDAY, I., HAMMOND, L. A., CARE, C. M., GOOD, K. and STEVENS, A. (2001). Lattice Boltzmann equation hydrodynamics. Physical review E, 64 (1), 011208.

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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.

Item Type: Article
Additional Information: © The American Physical Society
Research Institute, Centre or Group - Does NOT include content added after October 2018: Materials and Engineering Research Institute > Modelling Research Centre > Materials Modelling group
Identification Number:
Page Range: 011208
Depositing User: Ann Betterton
Date Deposited: 28 Jul 2008
Last Modified: 18 Mar 2021 21:31

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