Adhikari R, Succi S
The Institute of Mathematical Sciences, CIT Campus, Tharamani, Chennai 600113, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Dec;78(6 Pt 2):066701. doi: 10.1103/PhysRevE.78.066701. Epub 2008 Dec 11.
The notion of duality between the hydrodynamic and kinetic (ghost) variables of lattice kinetic formulations of the Boltzmann equation is introduced. It is suggested that this notion can serve as a guideline in the design of matrix versions of the lattice Boltzmann equation in a physically transparent and computationally efficient way.