558 citations · 1k across the 4 of their papers we have counts for
4 papers
Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated
Todd Dupont, Johnny Guzman, Ridgway Scott
We study two techniques for correcting the geometrical error associated with domain approximation by a polygon. The first was introduced some time ago \cite{bramble1972projection}…
On Validating an Astrophysical Simulation Code
A. C. Calder, B. Fryxell, T. Plewa +15
We present a case study of validating an astrophysical simulation code. Our study focuses on validating FLASH, a parallel, adaptive-mesh hydrodynamics code for studying the compres…
Drop Formation in a One-Dimensional Approximation of the Navier-Stokes Equation
Jens Eggers, Todd F. Dupont
We consider the viscous motion of a thin, axisymmetric column of fluid with a free surface. A one-dimensional equation of motion for the velocity and the radius is derived from the…
Sonoluminescing air bubbles rectify argon
Detlef Lohse, Michael P. Brenner, Todd F. Dupont +2
The dynamics of single bubble sonoluminescence (SBSL) strongly depends on the percentage of inert gas within the bubble. We propose a theory for this dependence, based on a combina…