output
19982025
most citedKinetic boundary conditions in the lattice Boltzmann method

362 citations

Showing cond-mat.stat-mechShow all

11 papers · 1 filter

cond-mat.stat-mech2010★ 12 cited

Dissipative electromagnetism from a nonequilibrium thermodynamics perspective

Asja Jelic, Markus Hütter, Hans Christian Öttinger

Dissipative effects in electromagnetism on macroscopic scales are examined by coarse graining the microscopic Maxwell equations with respect to time. We illustrate a procedure to d…

cond-mat.stat-mech2004★ 46 cited

Thermodynamic Theory of Incompressible Hydrodynamics

Santosh Ansumali, Iliya V. Karlin, Hans Christian Öttinger

The grand potential for open systems describes thermodynamics of fluid flows at low Mach numbers. A new system of reduced equations for the grand potential and the fluid momentum i…

cond-mat.stat-mech2003★ 27 cited

Entropic Lattice Boltzmann Simulation of the Flow Past Square Cylinder

Santosh Ansumali, Shyam Sunder Chikatamarla, Christos Emmanouil Frouzakis +1

Minimal Boltzmann kinetic models, such as lattice Boltzmann, are often used as an alternative to the discretization of the Navier-Stokes equations for hydrodynamic simulations. Rec…

cond-mat.stat-mech2002★ 96 cited

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…

cond-mat.stat-mech2002★ 14 cited

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…

cond-mat.stat-mech2002★ 40 cited

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…

cond-mat.stat-mech2002★ 32 cited

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…

cond-mat.stat-mech2002★ 33 cited

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…

cond-mat.stat-mech2002★ 54 cited

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…

cond-mat.stat-mech1999★ 76 cited

Thermodynamically admissible form for discrete hydrodynamics

Pep Español, Hans Christian Öttinger

We construct a discrete model of fluid particles according to the GENERIC formalism. The model has the form of Smoothed Particle Hydrodynamics including correct thermal fluctuation…

cond-mat.stat-mech1998★ 44 cited

Viscometric Functions for a Dilute Solution of Polymers in a Good Solvent

J. Ravi Prakash, H. C. Oettinger

A dilute polymer solution is modeled as a suspension of non-interacting Hookean dumbbells and the effect of excluded volume is taken into account by incorporating a narrow Gaussian…