Volume 101, Number 5, March 2013
|Number of page(s)||6|
|Published online||20 March 2013|
Lattice differential operators for computational physics
1 Engineering Mechanics Unit, Jawaharlal Nehru Centre for Advanced Scientific Research - Bangalore 560064, India
2 The Institute of Mathematical Sciences, CIT Campus - Chennai 600113, India
3 Istituto Applicazioni Calcolo, CNR Roma - via dei Taurini 9, 00185, Roma, Italy, EU
Received: 18 January 2013
Accepted: 21 February 2013
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.
PACS: 02.60.Jh – Numerical differentiation and integration / 47.11.−j – / 46.15.−x –
© EPLA, 2013
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