Lattice differential operators for computational physics

We present a general scheme to derive lattice differential operators from the discrete velocities and associated Maxwell-Boltzmann distributions used in lattice hydrodynamics. Such discretizations offer built-in isotropy and lend themselves to recursive techniques to enhance the convergence order. T...

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Bibliographic Details
Published in:Europhysics letters 2013-03, Vol.101 (5), p.50006
Main Authors: Ramadugu, Rashmi, Thampi, Sumesh P., Adhikari, Ronojoy, Succi, Sauro, Ansumali, Santosh
Format: Article
Language:English
Subjects:
02.60.Jh
46.15.−x
47.11.−j
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Summary:We present a general scheme to derive lattice differential operators from the discrete velocities and associated Maxwell-Boltzmann distributions used in lattice hydrodynamics. Such discretizations offer built-in isotropy and lend themselves to recursive techniques to enhance the convergence order. The result is a simple and elegant procedure to derive isotropic and accurate discretizations of differential operators of general applicability across a broad range of problems in computational physics. We show the usefulness of this approach by providing examples from hydrodynamics and electrodynamics.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/101/50006