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A new non-hydrostatic and cloud-resolving atmospheric model is developed for studying moist convection and cloud formation in planetary atmospheres. It is built on top of the Athena++ framework, utilizing its static/adaptive…

Earth and Planetary Astrophysics · Physics 2019-02-20 Cheng Li , Xi Chen

We present a method to simulate nonhydrostatic ocean flows on a horizontally-unstructured grid with a moving generalized vertical coordinate (GVC). The nonhydrostatic governing equations are transformed to a GVC system that can represent…

Atmospheric and Oceanic Physics · Physics 2021-09-17 Liangyi Yue , Yun Zhang , Sean Vitousek , Oliver B. Fringer

A new horizontally explicit/vertically implicit (HEVI) time splitting scheme for atmospheric modelling is introduced, for which the horizontal divergence terms are applied within the implicit vertical substep. The new HEVI scheme is…

Numerical Analysis · Mathematics 2021-06-30 David Lee , Artur Palha

The computational fluid dynamics on a sphere is relevant to global simulations of geophysical fluid dynamics. Using the conventional spherical-polar (or lat-lon) grid results in a singularity at the poles, with orders of magnitude smaller…

Earth and Planetary Astrophysics · Physics 2024-03-21 Sihe Chen , Cheng Li

We introduce a second-order numerical scheme for compressible atmospheric motions at small to planetary scales. The collocated finite volume method treats the advection of mass, momentum, and mass-weighted potential temperature in…

Numerical Analysis · Mathematics 2020-01-08 Tommaso Benacchio , Rupert Klein

This report summarizes the major progresses to develop the dynamic core for next-generation atmospherical model for both numerical weather prediction and climate simulation. The numerical framework is based on a general formulation,…

Computational Physics · Physics 2020-04-14 Xingliang Li , Chungang Chen , Xueshun Shen , Feng Xiao

Accurate modeling of sea ice dynamics is critical for predicting environmental variables and is important in applications such as navigating ice breaker ships. Research for both modeling and simulating sea ice dynamics is ongoing, with the…

Numerical Analysis · Mathematics 2023-05-24 Tongtong Li , Anne Gelb , Yoonsang Lee

An energetically balanced, implicit integrator for non-hydrostatic vertical atmospheric dynamics on the sphere is presented. The integrator allows for the exact balance of energy exchanges in space and time for vertical atmospheric motions…

Numerical Analysis · Mathematics 2020-12-01 David Lee

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 geometry free of polar problems, the cubed-sphere grid is…

Atmospheric and Oceanic Physics · Physics 2022-03-01 Chungang Chen , Xingliang Li , Feng Xiao , Xueshun Shen

Ultra-hot Jupiters, an extreme class of planets not found in our solar system, provide a unique window into atmospheric processes. The extreme temperature contrasts between their day- and night-sides pose a fundamental climate puzzle: how…

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 geometry free of polar problems, the cubed-sphere grid is…

Atmospheric and Oceanic Physics · Physics 2020-04-15 Chungang Chen , Xingliang Li , Feng Xiao , Xueshun Shen

We present a fast, unconditionally energy-stable numerical scheme for simulating vesicle deformation under osmotic pressure using a phase-field approach. The model couples an Allen-Cahn equation for the biomembrane interface with a…

Numerical Analysis · Mathematics 2026-01-16 Zhiwei Zhang , Shuwang Li , John Lowengrub , Steven M. Wise

We present a simplified model of the atmosphere of a terrestrial planet as an open two-dimensional system described by an ideal gas with velocity $\vec{v}$, density $\rho$ and temperature $T$ fields. Starting with the Chern-Simons equations…

Atmospheric and Oceanic Physics · Physics 2022-12-29 Martín Jacques-Coper , Valentina Ortiz , Jorge Zanelli

This paper develops and tests a deep-atmosphere, nonhydrostatic dynamical core (DyCore) targeted towards ground-thermosphere atmospheric prediction using the spectral element method (SEM) with Implicit-Explicit (IMEX) and Horizontally…

Remote observing of exoplanetary atmospheres is now possible, offering us access to circulation regimes unlike any of the familiar Solar System cases. Atmospheric circulation models are being developed to study these new regimes but model…

Astrophysics · Physics 2009-07-22 Kristen Menou , Emily Rauscher

One-dimensional, semi-empirical models of the solar atmosphere are widely employed in numerous contexts within solar physics, ranging from the determination of element abundances and atomic parameters to studies of the solar irradiance and…

Solar and Stellar Astrophysics · Physics 2024-04-11 J. M. Borrero , I. Milic , A. Pastor Yabar , A. J. Kaithakkal , J. de la Cruz Rodriguez

Context. The study of linear waves and instabilities is necessary to understand the physical evolution of an atmosphere, and can provide physical interpretation of the complex flows found in simulations performed using Global Circulation…

Earth and Planetary Astrophysics · Physics 2019-10-16 Florian Debras , Nathan Mayne , Isabelle Baraffe , Tom Goffrey , John Thuburn

The hydrostatic equilibrium state is the consequence of the exact hydrostatic balance between hydrostatic pressure and external force. Standard finite volume or finite difference schemes cannot keep this balance exactly due to their…

Fluid Dynamics · Physics 2020-08-26 Songze Chen , Zhaoli Guo , Kun Xu

The long term magnetohydrodynamic stability of magnetized transonic/supersonic jets is numerically investigated using a spatial approach. We focus on two-dimensional linearly-unstable slab configurations where the jet is embedded in a…

Astrophysics · Physics 2007-07-26 M. Viallet , H. Baty

The distribution of a pure condensible planetary atmosphere in equilibrium with a surface reservoir is revisited employing the energy budget of the climate system, emphasizing the atmospheric horizontal latent heat transport. This…

Earth and Planetary Astrophysics · Physics 2018-11-07 Feng Ding , Raymond T. Pierrehumbert
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