156 citations · 424 across the 9 of their papers we have counts for
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Mean-field Model beyond Boltzmann-Enskog Picture for Dense Gases
Santosh Ansumali
I propose an extension to Boltzmann BGK equation for Hard Spheres. The present model has an -theorem and it allows choice of Prandtl number as an independent parameter. I show t…
Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy
S. Ansumali, I. V. Karlin, S. Arcidiacono +2
Exact solution to the hierarchy of nonlinear lattice Boltzmann (LB) kinetic equations in the stationary planar Couette flow is found at non-vanishing Knudsen numbers. A new method…
Renormalization of the Lattice Boltzmann Hierarchy
I. V. Karlin, S. Ansumali
Is it possible to solve Boltzmann-type kinetic equations using only a small number of particles velocities? We introduce a novel techniques of solving kinetic equations with (arbit…
Consistent Lattice Boltzmann Method
S. Ansumali, I. V. Karlin
The problem of energy conservation in the lattice Boltzmann method is solved. A novel model with energy conservation is derived from Boltzmann's kinetic theory. It is demonstrated…
Exploring Hydrodynamic Closures for the Lid-driven Micro-cavity
S. Ansumali, C. E. Frouzakis, I. V. Karlin +1
A minimal kinetic model is used to study analytically and numerically flows at a micrometer scale. Using the lid-driven microcavity as an illustrative example, the interplay betwee…
Entropic lattice Boltzmann method for microflows
S. Ansumali, I. V. Karlin, C. E. Frouzakis +1
A new method for the computation of flows at the micrometer scale is presented. It is based on the recently introduced minimal entropic kinetic models. Both the thermal and isother…