26 citations · 55 across the 6 of their papers we have counts for
3 papers · 1 filter
IMplicit-EXplicit Formulations for Discontinuous Galerkin Non-Hydrostatic Atmospheric Models
Sohail Reddy, Maciej Waruszewski, Felipe A. V. de Braganca Alves +1
This work presents IMplicit-EXplicit (IMEX) formulations for discontinuous Galerkin (DG) discretizations of the compressible Euler equations governing non-hydrostatic atmospheric f…
Entropy Stable Discontinuous Galerkin Methods for Balance Laws in Non-Conservative Form: Applications to the Euler Equations with Gravity
Maciej Waruszewski, Jeremy E. Kozdon, Lucas C. Wilcox +2
In this work a non-conservative balance law formulation is considered that encompasses the rotating, compressible Euler equations for dry atmospheric flows. We develop a semi-discr…
A continuous/discontinuous Galerkin solution of the shallow water equations with dynamic viscosity, high-order wetting and drying, and implicit time integration
Simone Marras, Michal A. Kopera, Emil M. Constantinescu +2
The high-order numerical solution of the non-linear shallow water equations (and of hyperbolic systems in general) is susceptible to unphysical Gibbs oscillations that form in the…