362 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- ETH ZurichCH19 papers
- Institute of Computational ModelingRU4 papers
- Donostia International Physics CenterES2 papers
- IkerbasqueES2 papers
- Indian Institute of Technology MadrasIN2 papers
- Ingenierie des Materiaux polymeresFR2 papers
- Institut des Hautes Études ScientifiquesFR2 papers
- National Research CouncilLK2 papers
- University of FribourgCH2 papers
- University of the Basque CountryES2 papers
- APC Composite (Sweden)SE1 paper
- BeDimensional (Italy)IT1 paper
8 papers · 1 filter
Galilean-Invariant Lattice-Boltzmann Models with H-Theorem
Bruce M. Boghosian, Peter J. Love, Peter V. Coveney +3
We demonstrate that the requirement of galilean invariance determines the choice of H function for a wide class of entropic lattice Boltzmann models for the incompressible Navier-S…
The additive generalization of the Boltzmann entropy
Alexander N. Gorban, Iliya V. Karlin, Hans Christian Ottinger
There exists only one generalization of the classical Boltzmann-Gibbs-Shannon entropy functional to a one-parametric family of additive entropy functionals. We find analytical solu…
Hydrodynamics from Grad's equations: What can we learn from exact solutions?
Iliya V. Karlin, Alexander N. Gorban
A detailed treatment of the classical Chapman-Enskog derivation of hydrodynamics is given in the framework of Grad's moment equations. Grad's systems are considered as the minimal…
Kinetic boundary conditions in the lattice Boltzmann method
Santosh Ansumali, Iliya V. Karlin
Derivation of the lattice Boltzmann method from the continuous kinetic theory [X. He and L. S. Luo, {\it Phys. Rev. E} {\bf 55}, R6333 (1997); X. Shan and X. He, {\it Phys. Rev. Le…
Canonical Distribution Functions in Polymer Dynamics: II. Liquid--Crystalline Polymers
Patrick Ilg, Iliya V. Karlin, Martin Kröger +1
The quasi--equilibrium approximation is employed as a systematic tool for solving the problem of deriving constitutive equations from kinetic models of liquid--crystalline polymers…
Canonical Distribution Functions in Polymer Dynamics: I. Dilute Solutions of Flexible Polymers
Patrick Ilg, Iliya V. Karlin, Hans Christian Öttinger
The quasi--equilibrium or maximum entropy approximation is applied in order to derive constitutive equations from kinetic models of polymer dynamics. It is shown in general and ill…
Family of additive entropy functions out of thermodynamic limit
Alexander N. Gorban, Iliya V. Karlin
Starting with the additivity condition for Lyapunov functions of master equation, we derive a one-parametric family of entropy functions which may be appropriate for a description…
Minimal entropic kinetic models for simulating hydrodynamics
Santosh Ansumali, Iliya V. Karlin, Hans Christian Öttinger
We derive minimal discrete models of the Boltzmann equation consistent with equilibrium thermodynamics, and which recover correct hydrodynamics in arbitrary dimensions. A simple an…