Lattice operators from discrete hydrodynamics
  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 recursive techniques to increase the convergence order. This provides a simple and elegant procedure to derive isotropic and accurate discretizations of differential operators, which are expected to apply across a broad range of problems in computational physics. 
Rashmi Ramadugu, Sumesh P.Thampi, Ronojoy Adhikari, Sauro Succi,   Santosh Ansumali
physics.comp-ph physics.flu-dyn