26 citations · 55 across the 6 of their papers we have counts for
8 papers
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…
Comparison of Sub-Grid Scale Models for Large-Eddy Simulation using a High-Order Spectral Element Approximation of the Compressible Navier-Stokes Equations at Low Mach Number
Sohail Reddy, Yassine Tissaoui, Felipe A. V. de Braganca Alves +2
This study aims to identify the properties, advantages, and drawbacks of some common (and some less common) sub-grid scale (SGS) models for large eddy simulation of low Mach compre…
Large-eddy simulations with ClimateMachine: a new open-source code for atmospheric simulations on GPUs and CPUs
Akshay Sridhar, Yassine Tissaoui, Simone Marras +11
We introduce ClimateMachine, a new open-source atmosphere modeling framework using the Julia language to be performance portable on central processing units (CPUs) and graphics pro…
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…
IMEX HDG-DG: a coupled implicit hybridized discontinuous Galerkin (HDG) and explicit discontinuous Galerkin (DG) approach for shallow water systems
Shinhoo Kang, Francis X. Giraldo, Tan Bui-Thanh
We propose IMEX HDG-DG schemes for planar and spherical shallow water systems. Of interest is subcritical flow, where the speed of the gravity wave is faster than that of nonlinear…
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…
Strong Scaling for Numerical Weather Prediction at Petascale with the Atmospheric Model NUMA
Andreas Müller, Michal A. Kopera, Simone Marras +3
Numerical weather prediction (NWP) has proven to be computationally challenging due to its inherent multiscale nature. Currently, the highest resolution NWP models use a horizontal…
Partial Observability and its Consistency for PDEs
Wei Kang, Liang Xu, Francis X. Giraldo
In this paper, a quantitative measure of partial observability is defined for PDEs. The quantity is proved to be consistent if the PDE is approximated using well-posed approximatio…