251 citations · 1.2k across the 23 of their papers we have counts for
6 papers · 1 filter
Hyperbolicity of exact hydrodynamics for three-dimensional linearized Grad's equations
M. Colangeli, I. V. Karlin, M. Kroger
We extend a recent proof of hyperbolicity of the exact (to all orders in Knudsen number) linear hydrodynamic equations [M. Colangeli et al, Phys. Rev. E (2007), in press; arXiv:con…
Quasi Equilibrium Grid Algorithm: geometric construction for model reduction
E. Chiavazzo, I. V. Karlin
The Method of Invariant Grid (MIG) is an iterative procedure for model reduction in chemical kinetics which is based on the notion of Slow Invariant Manifold (SIM) [1-4]. Important…
From hyperbolic regularization to exact hydrodynamics for linearized Grad's equations
M. Colangeli, I. V. Karlin, M. Kroger
Inspired by a recent hyperbolic regularization of Burnett's hydrodynamic equations [A. Bobylev, J. Stat. Phys. 124, 371 (2006)], we introduce a method to derive hyperbolic equation…
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…
Lattice Boltzmann method for thermal flow simulation on standard lattices
N. I. Prasianakis, I. V. Karlin
The recently introduced consistent lattice Boltzmann model with energy conservation [S. Ansumali, I.V. Karlin, Phys. Rev. Lett. 95, 260605 (2005)] is extended to the simulation of…