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This work develops a theoretical model for steady thermodynamic and kinematic profiles for severe convective storm environments, building off of the two-layer static energy framework developed in Agard and Emanuel (2017). The model is…

Atmospheric and Oceanic Physics · Physics 2021-02-24 Daniel R Chavas , Daniel T Dawson

Numerical simulation of viscoelastic flows is challenging because of the hyperbolic nature of viscoelastic constitutive equations. Despite their superior accuracy and efficiency, pseudo-spectral methods require the introduction of…

Fluid Dynamics · Physics 2020-10-20 Lu Zhu , Li Xi

The inference of the underlying state of the plasma in the solar chromosphere remains extremely challenging because of the nonlocal character of the observed radiation and plasma conditions in this layer. Inversion methods allow us to…

Solar and Stellar Astrophysics · Physics 2019-03-06 J. de la Cruz Rodríguez , J. Leenaarts , S. Danilovic , H. Uitenbroek

In this work, we design and analyze semi/fully-discrete virtual element approximations for the time-dependent Navier--Stokes-Cahn--Hilliard equations, modeling the dynamics of two-phase incompressible fluid flows with diffuse interfaces. A…

Numerical Analysis · Mathematics 2026-01-27 Alberth Silgado , Giuseppe Vacca

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…

Earth and Planetary Astrophysics · Physics 2021-06-09 Maxence Lefèvre , Martin Turbet , Raymond Pierrehumbert

We present a newly developed cosmological hydrodynamics code based on weighted essentially non-oscillatory (WENO) schemes for hyperbolic conservation laws. WENO is a higher order accurate finite difference scheme designed for problems with…

Astrophysics · Physics 2009-11-10 Long-Long Feng , Chi-Wang Shu , Meng-Ping Zhang

More than two dozen short-period Jupiter-mass gas giant planets have been discovered around nearby solar-type stars in recent years, several of which undergo transits, making them ideal for the detection and characterization of their…

Astrophysics · Physics 2009-11-13 Ian Dobbs-Dixon , D. N. C. Lin

Context. Clumping is a common property of stellar winds and is being incorporated to a solution of the radiative transfer equation coupled with kinetic equilibrium equations. However, in static hot model atmospheres, clumping and its…

Solar and Stellar Astrophysics · Physics 2021-11-10 Jiří Kubát , Brankica Kubátová

Exoplanets on eccentric orbits experience an incident stellar flux that can be markedly larger at periastron versus apoastron. This variation in instellation can lead to dramatic changes in atmospheric structure in regions of the atmosphere…

Earth and Planetary Astrophysics · Physics 2021-07-14 L. C. Mayorga , Tyler D. Robinson , Mark S. Marley , E. M. May , Kevin B. Stevenson

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)…

Earth and Planetary Astrophysics · Physics 2019-06-19 Yixiong Wang , Peter Read , Fachreddin Tabataba-Vakili , Roland Young

In this research, we introduce and investigate an approximation method that preserves the structural integrity of the non-isothermal Cahn-Hilliard-Navier-Stokes system. Our approach extends a previously proposed technique [1], which…

Numerical Analysis · Mathematics 2024-05-24 Aaron Brunk , Dennis Schumann

We adapt a modern scheme of smoothed particle hydrodynamics (SPH) to our tree N-body/SPH galactic chemodynamics code GCD+. The applied scheme includes imple- mentations of the artificial viscosity switch and artificial thermal conductivity…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Daisuke Kawata , Takashi Okamoto , Brad K. Gibson , David J. Barnes , Renyue Cen

We develop an enriched Galerkin (EG) method for the incompressible Navier-Stokes equations that conserves both kinetic energy and helicity in the inviscid limit without introducing any additional projection variables. The method employs an…

Numerical Analysis · Mathematics 2025-12-24 Siyuan Tong , Qilong Zhai , Qian Zhang , Ran Zhang

Static structure models, which map mass-radius constraints to bulk planet composition, are frequently used to categorise exoplanets due to their computational efficiency and the high-level insight they offer into planetary properties.…

Earth and Planetary Astrophysics · Physics 2026-04-20 Harrison Nicholls , Oliver Shorttle , Tim Lichtenberg , Flavia Pascal

The objective of this paper is twofold. First, it documents the second version of the global atmospheric model ARP-GEM and its calibration at kilometer-scale resolution. The model is currently able to run simulations at a resolution of up…

Atmospheric and Oceanic Physics · Physics 2025-11-04 Olivier Geoffroy , David Saint-Martin

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

In this paper we report on what we believe is the first successful implementation of relativistic hydrodynamics, coupled to dynamical spacetimes, in spherical polar coordinates without symmetry assumptions. We employ a high-resolution…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Pedro J. Montero , Thomas W. Baumgarte , Ewald Müller

There has been interest in recent years to assess the ability of astrophysical hydrodynamics codes to correctly model the Kelvin-Helmholtz instability. Smoothed particle hydrodynamics (SPH), in particular, has received significant…

Instrumentation and Methods for Astrophysics · Physics 2019-09-10 Terrence S. Tricco

Lava planets have non-global, condensible atmospheres similar to icy bodies within the solar system. Because they depend on interior dynamics, studying the atmospheres of lava planets can lead to understanding unique geological processes…

Earth and Planetary Astrophysics · Physics 2022-05-25 T. Giang Nguyen , Nicolas B. Cowan , Raymond T. Pierrehumbert , Roxana E. Lupu , John E. Moores

A semi-implicit, residual-based variational multiscale (VMS) formulation is developed for the incompressible Navier--Stokes equations. The approach linearizes convection using an extrapolated (Oseen-type) convecting velocity, producing a…