97 citations · 104 across the 7 of their papers we have counts for
9 papers
Recasting Navier-Stokes Equations
M. H. Lakshminarayana Reddy, S. Kokou Dadzie, Raffaella Ocone +2
Classical Navier-Stokes equations fail to describe some flows in both the compressible and incompressible configurations. In this article, we propose a new methodology based on tra…
A fast iterative scheme for the linearized Boltzmann equation
Lei Wu, Jun Zhang, Haihu Liu +2
An iterative scheme can be used to find a steady-state solution to the Boltzmann equation, however, it is very slow to converge in the near-continuum flow regime. In this paper, a…
A molecular dynamics test of the Navier-Stokes-Fourier paradigm for compressible gaseous continua
Howard Brenner, Nishanth Dongari, Jason M. Reese
Knudsen's pioneering experimental and theoretical work performed more than a century ago pointed to the fact that the Navier-Stokes-Fourier (NSF) paradigm is inapplicable to compre…
A volume-based hydrodynamic approach to sound wave propagation in a monatomic gas
S. Kokou Dadzie, Jason M. Reese
We investigate sound wave propagation in a monatomic gas using a volume-based hydrodynamic model. In Physica A vol 387(24) (2008) pp6079-6094, a microscopic volume-based kinetic ap…
The structure of hypersonic shock waves using Navier-Stokes equations modified to include mass diffusion
Christopher J Greenshields, Jason M Reese
Howard Brenner has recently proposed modifications to the Navier-Stokes equations that relate to a diffusion of fluid volume that would be significant for flows with high density g…
AICA: a New Pair Force Evaluation Method for Parallel Molecular Dynamics in Arbitrary Geometries
Graham B. Macpherson, Jason M. Reese
A new algorithm for calculating intermolecular pair forces in Molecular Dynamics (MD) simulations on a distributed parallel computer is presented. The Arbitrary Interacting Cells A…