251 citations · 746 across the 16 of their papers we have counts for
16 papers
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…
Invariance correction to Grad's equations: Where to go beyond approximations?
A. N. Gorban, I. V. Karlin
We review some recent developments of Grad's approach to solving the Boltzmann equation and creating reduced description. The method of invariant manifold is put forward as a unifi…
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…
Combined micro--macro integration scheme from an invariance principle: application to ferrofluid dynamics
Patrick Ilg, Iliya V. Karlin
A method for the combination of microscopic and macroscopic simulations is developed which is based on the invariance of the macroscopic relative to the microscopic dynamics. The m…
Constructive Methods of Invariant Manifolds for Kinetic Problems
A. N. Gorban, I. V. Karlin, A. Yu. Zinovyev
We present the Constructive Methods of Invariant Manifolds for model reduction in physical and chemical kinetics, developed during last two decades. The problem of reduced descript…
Kinetic Theory of Turbulence Modeling: Smallness Parameter, Scaling and Microscopic Derivation of Smagorinsky Model
Santosh Ansumali, Iliya V. Karlin, Sauro Succi
A mean-field approach (filtering out subgrid scales) is applied to the Boltzmann equation in order to derive a subgrid turbulence model based on kinetic theory. It is demonstrated…