3 citations · 6 across the 9 of their papers we have counts for
4 papers · 1 filter
A finite element discrete Boltzmann method for high Knudsen number flows
Karthik Ganeshan, David M. Williams
Simulations of the discrete Boltzmann Bhatnagar-Gross-Krook (BGK) equation are an important tool for understanding fluid dynamics in non-continuum regimes. Here, we introduce a dis…
Foundations of space-time finite element methods: polytopes, interpolation, and integration
Cory V. Frontin, Gage S. Walters, Freddie D. Witherden +3
The main purpose of this article is to facilitate the implementation of space-time finite element methods in four-dimensional space. In order to develop a finite element method in…
Versatile Mixed Methods for Non-Isothermal Incompressible Flows
Edward A. Miller, Xi Chen, David M. Williams
The purpose of this paper is to extend the versatile mixed methods originally developed by Chen and Williams for isothermal flows in "Versatile Mixed Methods for the Incompressible…
Versatile Mixed Methods for the Incompressible Navier-Stokes Equations
Xi Chen, David M. Williams
In the spirit of the "Principle of Equipresence" introduced by Truesdell & Toupin, The Classical Field Theories (1960), we use the full version of the viscous stress tensor which w…