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We survey the basic principles of atmospheric dynamics relevant to explaining existing and future observations of exoplanets, both gas giant and terrestrial. Given the paucity of data on exoplanet atmospheres, our approach is to emphasize…

Earth and Planetary Astrophysics · Physics 2009-11-18 Adam P. Showman , James Y-K. Cho , Kristen Menou

Many global circulation models predict supersonic zonal winds and large vertical shears in the atmospheres of short-period jovian exoplanets. Using linear analysis and nonlinear local simulations, we investigate hydrodynamic dissipation…

Earth and Planetary Astrophysics · Physics 2015-05-18 Jason Li , Jeremy Goodman

We present highlights from a large set of simulations of a hot Jupiter atmosphere, nominally based on HD 209458b, aimed at exploring both the evolution of the deep atmosphere, and the acceleration of the zonal flow or jet. We find the…

We investigate baroclinic instability in flow conditions relevant to hot extrasolar planets. The instability is important for transporting and mixing heat, as well as for influencing large-scale variability on the planets. Both linear…

Earth and Planetary Astrophysics · Physics 2015-06-05 Inna Polichtchouk , James Y-K. Cho

We present a three dimensional hot Jupiter model, extending from 200 bar to 1 mbar, using the Intermediate General Circulation Model from the University of Reading. Our horizontal spectral resolution is T31 (equivalent to a grid of 48x96),…

Earth and Planetary Astrophysics · Physics 2015-05-13 Emily Rauscher , Kristen Menou

Context: The anomalously large radii of hot Jupiters has long been a mystery. However, by combining both theoretical arguments and 2D models, a recent study has suggested that the vertical advection of potential temperature leads to an…

Earth and Planetary Astrophysics · Physics 2019-12-18 F. Sainsbury-Martinez , P. Wang , S. Fromang , P. Tremblin , T. Dubos , Y. Meurdesoif , A. Spiga , J. Leconte , I. Baraffe , G. Chabrier , N. Mayne , B. Drummond , F. Debras

We present a new 1-D multi-physics simulation code with use cases intended for, but not limited to, hydrodynamic escapeproblems of planetary atmospheres and planetary accretion models. Our formulation treats an arbitrary number of species…

Earth and Planetary Astrophysics · Physics 2023-05-10 Matthäus Schulik , Richard Booth

Efforts to characterize extrasolar giant planet (EGP) atmospheres have so far emphasized planets within 0.05 AU of their stars. Despite this focus, known EGPs populate a continuum of orbital separations from canonical hot Jupiter values…

Earth and Planetary Astrophysics · Physics 2015-02-12 Adam P. Showman , Nikole K. Lewis , Jonathan J. Fortney

Travelling and rotating waves are ubiquitous phenomena observed in time dependent PDEs modelling the combined effect of dissipation and non-linear interaction. From an abstract viewpoint they appear as relative equilibria of an equivariant…

Numerical Analysis · Mathematics 2018-10-30 Wolf-Jürgen Beyn , Denny Otten

Of the over 800 exoplanets detected to date, over half are on non-circular orbits, with eccentricities as high as 0.93. Such orbits lead to time-variable stellar heating, which has implications for the planet's atmospheric dynamical regime.…

Earth and Planetary Astrophysics · Physics 2015-06-11 Tiffany Kataria , Adam P. Showman , Nikole K. Lewis , Jonathan J. Fortney , Mark S. Marley , Richard S. Freedman

We advance the computation of physical modal expansions for unsteady incompressible flows. Point of departure is a linearization of the Navier-Stokes equations around its fixed point in a frequency domain formulation. While the most…

Fluid Dynamics · Physics 2018-04-24 Marek Morzynski , Wojciech Szeliga , Bernd R. Noack

The ongoing characterization of hot Jupiters has motivated a variety of circulation models of their atmospheres. Such models must be integrated starting from an assumed initial state, which is typically taken to be a wind-free, rest state.…

Earth and Planetary Astrophysics · Physics 2013-06-12 Beibei Liu , Adam P. Showman

Flows are omnipresent and govern the dynamics of plasma. Solar tornadoes are a class of apparently rotating prominences, that might be formed by thermal instability. In spectroscopic studies on thermal instability background flow is…

Solar and Stellar Astrophysics · Physics 2024-06-12 Joris Hermans , Rony Keppens

We apply parallel approaches in the study of continuous spectra to adiabatic stellar models. We seek continuum eigenmodes for the LAWE formulated as both finite difference and linear differential equations. In particular, we apply methods…

Mathematical Physics · Physics 2016-11-03 Christopher J. Winfield

The dynamics of self-gravitating fluid bodies is described by the Euler-Einstein system of partial differential equations. The break-down of well-posedness on the fluid-vacuum interface remains a challenging open problem, which is…

General Relativity and Quantum Cosmology · Physics 2020-07-17 John Ryan Westernacher-Schneider , Charalampos Markakis , Bing Jyun Tsao

General circulation models of the atmosphere of hot Jupiters have shown the existence of a supersonic eastward equatorial jet. In this paper, we investigate the effects of compressibility on the atmospheric dynamics by solving the standard…

Earth and Planetary Astrophysics · Physics 2016-07-13 Sébastien Fromang , Jérémy Leconte , Kevin Heng

This article is devoted to stationary solutions of Euler's equation on a rotating sphere, and to their relevance to the dynamics of stratospheric flows in the atmosphere of the outer planets of our solar system and in polar regions of the…

Analysis of PDEs · Mathematics 2022-06-15 Adrian Constantin , Pierre Germain

A spectral method using associated Legendre functions with algebraic mapping is developed for a linear stability analysis of wake vortices. These functions serve as Galerkin basis functions, capturing correct analyticity and boundary…

Fluid Dynamics · Physics 2025-10-20 Sangjoon Lee , Philip S. Marcus

Observations of scattered light and thermal emission from hot Jupiter exoplanets have suggested the presence of inhomogeneous aerosols in their atmospheres. 3D general circulation models (GCMs) that attempt to model the effects of aerosols…

Earth and Planetary Astrophysics · Physics 2021-03-19 Caleb K. Harada , Eliza M. -R. Kempton , Emily Rauscher , Michael Roman , Isaac Malsky , Marah Brinjikji , Victoria diTomasso

Over the past two decades, a coherent picture has emerged of the atmospheric dynamics of hot Jupiters from a combination of three-dimensional general circulation models (GCMs) and astronomical observations. This paradigm consists of hot…

Earth and Planetary Astrophysics · Physics 2025-02-27 Thaddeus D. Komacek