Lattice differential operators for computational physics
Rashmi Ramadugu, Sumesh P. Thampi, Ronojoy Adhikari, Sauro Succi, Santosh Ansumali · Europhysics Letters (EPL) · 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.