A review on regional convection‐permitting climate modeling: Demonstrations, prospects, and challenges

AF Prein, W Langhans, G Fosser… - Reviews of …, 2015 - Wiley Online Library
Regional climate modeling using convection‐permitting models (CPMs; horizontal grid
spacing< 4 km) emerges as a promising framework to provide more reliable climate …

Global cloud-resolving models

M Satoh, B Stevens, F Judt, M Khairoutdinov… - Current Climate Change …, 2019 - Springer
Abstract Purpose of Review Global cloud-resolving models (GCRMs) are a new type of
atmospheric model which resolve nonhydrostatic accelerations globally with kilometer-scale …

10M-core scalable fully-implicit solver for nonhydrostatic atmospheric dynamics

C Yang, W Xue, H Fu, H You, X Wang… - SC'16: Proceedings …, 2016 - ieeexplore.ieee.org
An ultra-scalable fully-implicit solver is developed for stiff time-dependent problems arising
from the hyperbolic conservation laws in nonhydrostatic atmospheric dynamics. In the …

Modelling of stellar convection

F Kupka, HJ Muthsam - Living Reviews in Computational Astrophysics, 2017 - Springer
The review considers the modelling process for stellar convection rather than specific
astrophysical results. For achieving reasonable depth and length we deal with …

EULAG, a computational model for multiscale flows: An MHD extension

PK Smolarkiewicz, P Charbonneau - Journal of Computational Physics, 2013 - Elsevier
EULAG is an established high-performance computational model for simulating fluid flows
across a wide range of scales and physical scenarios [Prusa et al., Comput. Fluids 37 (2008) …

Continuous and discontinuous Galerkin methods for a scalable three-dimensional nonhydrostatic atmospheric model: Limited-area mode

JF Kelly, FX Giraldo - Journal of Computational Physics, 2012 - Elsevier
This paper describes a unified, element based Galerkin (EBG) framework for a three-
dimensional, nonhydrostatic model for the atmosphere. In general, EBG methods possess …

A review of element-based Galerkin methods for numerical weather prediction: Finite elements, spectral elements, and discontinuous Galerkin

S Marras, JF Kelly, M Moragues, A Müller… - … Methods in Engineering, 2016 - Springer
Numerical weather prediction (NWP) is in a period of transition. As resolutions increase,
global models are moving towards fully nonhydrostatic dynamical cores, with the local and …

Asymptotic preserving IMEX finite volume schemes for low Mach number Euler equations with gravitation

G Bispen, M Lukáčová-Medvid'ová, L Yelash - Journal of Computational …, 2017 - Elsevier
In this paper we will present and analyze a new class of the IMEX finite volume schemes for
the Euler equations with a gravity source term. We will in particular concentrate on a singular …

A consistent framework for discrete integrations of soundproof and compressible PDEs of atmospheric dynamics

PK Smolarkiewicz, C Kühnlein, NP Wedi - Journal of Computational …, 2014 - Elsevier
A numerical framework is developed for consistent integrations of the soundproof and fully
compressible nonhydrostatic equations of motion for all-scale atmospheric flows; ie, low …

Energy conservation and gravity waves in sound-proof treatments of stellar interiors. Part I. Anelastic approximations

BP Brown, GM Vasil, EG Zweibel - The Astrophysical Journal, 2012 - iopscience.iop.org
Typical flows in stellar interiors are much slower than the speed of sound. To follow the slow
evolution of subsonic motions, various sound-proof equations are in wide use, particularly in …