157 citations · 264 across the 4 of their papers we have counts for
4 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…
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…