4 papers · 1 filter
A Kinetic Theory Approach To Ordered Fluids: Direct Simulation Monte Carlo Methods
José A. Carrillo, Patrick E. Farrell, Andrea Medaglia +1
We present a direct simulation Monte Carlo (DSMC) method for the kinetic theory of ordered fluids recently introduced by the authors. The microscopic constituents of these fluids c…
Kinetic derivation of thermal viscous models for nematic liquid crystal dynamics
P. E. Farrell, J. Málek, O. Souček +1
We develop a macroscopic thermodynamic theory of nematic liquid crystals starting from a kinetic theory of ordered fluids with a collision operator of Bhatnagar-Gross-Krook (BGK) t…
On the convergence of iterated penalty methods for structure-preserving discretizations of saddle point problems
Patrick E. Farrell, Michael Neilan, Charles Parker +1
We present new convergence estimates for the iterated penalty method applied to structure-preserving discretizations of linear generalized saddle point systems. The method may be v…
A kinetic interpretation of thermomechanical restrictions of continua
Patrick E. Farrell, Josef Málek, Ondřej Souček +1
Rajagopal and Srinivasa's thermodynamic framework derives constitutive relations in continuum mechanics from two scalar functions describing energy storage and entropy production v…