Lattices for the lattice Boltzmann method.
Shyam S. Chikatamarla , Iliya V. Karlin
Physical Review E 79 ( 4) 046701
141
2009
Thermodynamic Theory of Incompressible Hydrodynamics
Santosh Ansumali , Iliya V. Karlin , Hans Christian Öttinger
Physical Review Letters 94 ( 8) 080602
27
2005
Energy Conserving Lattice Boltzmann Models for Incompressible Flow Simulations
Shiwani Singh , Siddharth Krithivasan , Iliya V. Karlin , Sauro Succi
Communications in Computational Physics 13 ( 3) 603 -613
9
2013
Coupling of the model reduction technique with the lattice Boltzmann method for combustion simulations
Eliodoro Chiavazzo , Iliya V. Karlin , Alexander N. Gorban , Konstantinos Boulouchos
Combustion and Flame 157 ( 10) 1833 -1849
39
2010
n-Heptane/air combustion in perfectly stirred reactors: Dynamics, bifurcations and dominant reactions at critical conditions
Mahdi Kooshkbaghi , Christos E. Frouzakis , Konstantinos Boulouchos , Iliya V. Karlin
Combustion and Flame 162 ( 9) 3166 -3179
24
2015
Kinetic theory of turbulence modeling: smallness parameter, scaling and microscopic derivation of Smagorinsky model
Santosh Ansumali , Iliya V. Karlin , Sauro Succi
Physica A-statistical Mechanics and Its Applications 338 ( 3) 379 -394
64
2004
Uniqueness of thermodynamic projector and kinetic basis of molecular individualism
Alexander N. Gorban , Iliya V. Karlin
Physica A-statistical Mechanics and Its Applications 336 ( 3) 391 -432
29
2004
Drops bouncing off macro-textured superhydrophobic surfaces
Ali Mazloomi Moqaddam , Shyam S. Chikatamarla , Iliya V. Karlin
Journal of Fluid Mechanics 824 866 -885
31
2017
Complete Galilean invariant lattice Boltzmann models
Shyam S. Chikatamarla , Iliya V. Karlin
Computer Physics Communications 179 ( 1) 140 -143
12
2008
Structure and approximations of the chapman-enskog expansion for the linearized grad equations
Alexander N. Gorban , Iliya V. Karlin
Transport Theory and Statistical Physics 21 ( 1) 101 -117
31
1992
Two-step approximation of space-independent relaxation
Alexander N. Gorban , Iliya V. Karlin , Vladimir B. Zmievskii
Transport Theory and Statistical Physics 28 ( 3) 271 -296
13
1999
Corrections and Enhancements of Quasi-Equilibrium States
Alexander N. Gorban , Iliya V. Karlin , Patrick Ilg , Hans Christian Öttinger
Journal of Non-newtonian Fluid Mechanics 96 ( 1) 203 -219
74
2001
Method of invariant grid for model reduction of hydrogen combustion
Eliodoro Chiavazzo , Iliya V. Karlin , Christos E. Frouzakis , Konstantinos Boulouchos
Proceedings of the Combustion Institute 32 ( 1) 519 -526
12
2009
SHORT-WAVE LIMIT OF HYDRODYNAMICS : A SOLUBLE EXAMPLE
Alexander N. Gorban , Iliya V. Karlin
Physical Review Letters 77 ( 2) 282 -285
66
1996
A dynamic model of tree terminal growth
Vladimir L. Gavrikov , Iliya V. Karlin
Canadian Journal of Forest Research 23 ( 2) 326 -329
8
1993
From hyperbolic regularization to exact hydrodynamics for linearized Grad's equations.
Matteo Colangeli , Iliya V. Karlin , Martin Kröger
Physical Review E 75 ( 5) 051204 -051204
20
2007
Lattice Boltzmann method for thermal flow simulation on standard lattices.
Nikolaos I. Prasianakis , Iliya V. Karlin
Physical Review E 76 ( 1) 016702
103
2007
Hyperbolicity of exact hydrodynamics for three-dimensional linearized Grad's equations.
Matteo Colangeli , Iliya V. Karlin , Martin Kröger
Physical Review E 76 ( 2) 022201
17
2007
Renormalization of the lattice Boltzmann hierarchy.
Iliya V. Karlin , Santosh Ansumali
Physical Review E 76 ( 2) 025701
15
2007
Multispeed models in off-lattice Boltzmann simulations.
André Bardow , Iliya V. Karlin , Andrei A. Gusev
Physical Review E 77 ( 2) 025701
23
2008