Rotated versions of the Jablonowski steady‐state and baroclinic wave test cases: A dynamical core intercomparison

PH Lauritzen, C Jablonowski… - Journal of Advances …, 2010 - Wiley Online Library
The Jablonowski test case is widely used for debugging and evaluating the numerical
characteristics of global dynamical cores that describe the fluid dynamics component of …

Atmospheric transport schemes: desirable properties and a semi-Lagrangian view on finite-volume discretizations

PH Lauritzen, PA Ullrich, RD Nair - Numerical techniques for global …, 2011 - Springer
This chapter has twofold purpose. After a short introduction to the mass continuity equations
in atmospheric models, desirable properties for mass transport schemes intended for …

Development of the Next-generation Atmosphere Dynamics Model in Russia: Current State and Prospects

VV Shashkin, GS Goyman, ID Tretyak - Lobachevskii Journal of …, 2024 - Springer
The next-generation atmospheric dynamics model for numerical weather prediction and
climate studies is developed at INM RAS and Hydrometcentre of Russia. The model uses a …

A center compact scheme for the shallow water equations on the sphere

M Brachet, JP Croisille - Computers & Fluids, 2022 - Elsevier
Abstract We consider the Shallow Water equations (SW) on a rotating sphere and their
approximation by a finite difference scheme. The discrete unknowns are located at the …

[HTML][HTML] Hermitian approximation of the spherical divergence on the Cubed-Sphere

JP Croisille - Journal of Computational and Applied Mathematics, 2015 - Elsevier
Abstract Previous work (Croisille, 2013) showed that the Cubed-Sphere grid offers a suitable
discrete framework for extending Hermitian compact operators (Collatz, 1960) to the …

GRAPES 模式中Helmhothz 方程两种求解方法的对比研究

宋君强, 伍湘君, 张理论, 陈德辉, 金之雁… - 计算机工程与 …, 2011 - joces.nudt.edu.cn
GRAPES 是中国气象局自主研发的一个全球/区域分析预报系统. 其模式计算方程组经过离散化
之后, 积分求解过程最终归结为对一个椭圆方程或Helmholtz (赫姆霍兹) 方程的求解 …

A nonhydrostatic atmospheric dynamical core on cubed sphere using hybrid multi-moment finite-volume/finite difference methods: formulations and preliminary tests

C Chen, X Li, F Xiao, X Shen - arXiv preprint arXiv:2202.13368, 2022 - arxiv.org
A nonhydrostatic dynamical core has been developed by using the multi-moment finite
volume method that ensures the rigorous numerical conservation. To represent the spherical …

A global nonhydrostatic dynamical core on cubed sphere using multi-moment finite volume method: formulation and preliminary test

C Chen, X Li, F Xiao, X Shen - arXiv preprint arXiv:2004.06290, 2020 - arxiv.org
A nonhydrostatic dynamical core has been developed by using the multi-moment finite
volume method that ensures the rigorous numerical conservation. To represent the spherical …

Numerical simulation of propagation problems on the sphere with a compact scheme

M Brachet, JP Croisille - 2019 - hal.science
We consider propagation problems on the sphere and their approximation by a compact
finite difference scheme. The scheme used in this study uses the Cubed Sphere, a particular …

Прототип глобальной негидростатической модели атмосферы на сетке кубическая сфера для прогноза погоды

ВВ Шашкин, ГС Гойман, МА Толстых… - … дни в России, 2022 - elibrary.ru
Представлен прототип глобальной модели атмосферы для системы численного
прогноза погоды нового поколения. Решаются трехмерные уравнения динамики …