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We use spherical coordinates to devise a new exact solution to the governing equations of geophysical fluid dynamics for an inviscid and incompressible fluid with a general density distribution and subjected to forcing terms. The latter are…

流体动力学 · 物理学 2020-10-20 Calin Iulian Martin , Ronald Quirchmayr

An implicit Lagrangian hydrodynamics code for general relativistic spherical collapse is presented. This scheme is based on an approximate linearized Riemann solver (Roe type scheme). This code is aimed especially at the calculation of the…

天体物理学 · 物理学 2009-10-28 Shoichi Yamada

Ocean dynamics are often sidelined in exoplanet climate studies due to the high computational cost of fully coupled atmosphere-ocean general circulation models (GCMs). However, ocean heat transport (OHT) can play a critical role in shaping…

Tidally locked terrestrial planets around low-mass stars are the prime targets of finding potentially habitable exoplanets. Several atmospheric general circulation models have been employed to simulate their possible climates, however,…

地球与行星天体物理 · 物理学 2020-08-12 Mengyu Wei , Yixiao Zhang , Jun Yang

A large fraction of known terrestrial-size exoplanets located in the Habitable Zone of M-dwarfs are expected to be tidally-locked. Numerous efforts have been conducted to study the climate of such planets, using in particular 3-D Global…

地球与行星天体物理 · 物理学 2021-06-09 Maxence Lefèvre , Martin Turbet , Raymond Pierrehumbert

The regimes of possible global atmospheric circulation patterns in an Earth-like atmosphere are explored using a simplified GCM based on the University of Hamburg's Portable University Model for the Atmosphere with simplified (linear)…

地球与行星天体物理 · 物理学 2019-06-19 Yixiong Wang , Peter Read , Fachreddin Tabataba-Vakili , Roland Young

To study the complexity of hot Jupiter atmospheres revealed by observations of increasing quality, we have adapted the UK Met Office global circulation model (GCM), the Unified Model (UM), to these exoplanets. The UM solves the full 3D…

This paper is part of a program that aims to understand the connection between the emergence of chaotic behaviour in dynamical systems in relation with the multi-valuedness of the solutions as functions of complex time $\tau$. In this work…

混沌动力学 · 物理学 2011-04-13 Yuri N. Fedorov , David Gomez-Ullate

Using an idealised general circulation model, we investigate the atmospheric circulation of Earth-like terrestrial planets in a variety of orbital configurations. We relax the common assumption of the planet being tidally-locked, and look…

地球与行星天体物理 · 物理学 2018-12-12 James Penn , Geoffrey K Vallis

We introduce a second-order, central-upwind finite volume method for the discretization of nonlinear hyperbolic conservation laws posed on the two-dimensional sphere. The semi-discrete version of the proposed method is based on a technique…

偏微分方程分析 · 数学 2015-12-29 Abdelaziz Beljadid , Philippe G. LeFloch

The fluid dynamics in planet Saturn gives rise to alternating east-west jet streams, large cyclonic and anticyclonic vortices, and a dipole-dominant magnetic field which is highly axisymmetric about the planetary rotation axis. Modelling…

地球与行星天体物理 · 物理学 2022-12-22 Rakesh Kumar Yadav , Hao Cao , Jeremy Bloxham

We investigate relativistic spherically symmetric static perfect fluid models in the framework of the theory of dynamical systems. The field equations are recast into a regular dynamical system on a 3-dimensional compact state space,…

广义相对论与量子宇宙学 · 物理学 2009-11-10 J. Mark Heinzle , N. Rohr , C. Uggla

We present an attempt to reach realistic turbulent regime in direct numerical simulations of the geodynamo. We rely on a sequence of three convection-driven simulations in a rapidly rotating spherical shell. The most extreme case reaches…

地球物理 · 物理学 2017-10-11 Nathanaël Schaeffer , Dominique Jault , Henri-Claude Nataf , Alexandre Fournier

We study a classical integrable (Neumann) model describing the motion of a particle on the sphere, subject to harmonic forces. We tackle the problem in the infinite dimensional limit by introducing a soft version in which the spherical…

统计力学 · 物理学 2021-02-03 Damien Barbier , Leticia F. Cugliandolo , Gustavo S. Lozano , Nicolas Nessi

Discretized fluid solvers coupled to a Newtonian dynamics method are a popular tool to study suspension flow. As any simulation technique with finite resolution, the lattice Boltzmann method, when coupled to discrete particles using the…

软凝聚态物质 · 物理学 2013-08-30 Florian Janoschek , Jens Harting , Federico Toschi

A new gridding technique for the solution of partial differential equations in cubical geometry is presented. The method is based on volume penalization, allowing for the imposition of a cubical geometry inside of its circumscribing sphere.…

The photoionization-driven evaporation of planetary atmospheres has emerged as a potentially fundamental process for planets on short period orbits. While 1-D studies have proven the effectiveness of stellar fluxes at altering the…

地球与行星天体物理 · 物理学 2018-12-19 Alex Debrecht , Jonathan Carroll-Nellenback , Adam Frank , John McCann , Ruth Murray-Clay , Eric G. Blackman

An automatically differentiable, high-order non-oscillatory finite volume shallow water dynamic core has been constructed on a cubed sphere grid. This dynamic core has four advantageous properties: high order accuracy, essential…

流体动力学 · 物理学 2025-01-03 Lilong Zhou

We present an efficient and highly scalable geometric method for two-dimensional ideal fluid dynamics on the sphere. The starting point is Zeitlin's finite-dimensional model of hydrodynamics. The efficiency stems from exploiting a…

数学物理 · 物理学 2022-11-30 Paolo Cifani , Milo Viviani , Klas Modin

Resolving Orbital and Climate Keys of Earth and Extraterrestrial Environments with Dynamics (ROCKE-3D) is a 3-Dimensional General Circulation Model (GCM) developed at the NASA Goddard Institute for Space Studies for the modeling of…