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Global Climate Models (GCMs) are numerical models that simulate complex physical processes within the Earth's climate system and are essential for understanding and predicting climate change. However, GCMs suffer from systemic biases due to…

Applications · Statistics 2026-02-23 Reetam Majumder , Shiqi Fang , A. Sankarasubramanian , Emily C. Hector , Brian J. Reich

Vortices, turbulence, and unsteady non-laminar flows are likely both prominent and dynamically important features of astrophysical disks. Such strongly nonlinear phenomena are often difficult, however, to simulate accurately, and are…

Earth and Planetary Astrophysics · Physics 2017-10-18 Darryl Seligman , Gregory Laughlin

Non-hydrostatic atmospheric models often use semi-implicit temporal discretisations in order to negate the time step limitation of explicitly resolving the fast acoustic and gravity waves. Solving the resulting system to machine precision…

Atmospheric and Oceanic Physics · Physics 2023-09-04 David Lee

A longstanding mystery about Jupiter has been the straightness and steadiness of its weather-layer jets, quite unlike terrestrial strong jets with their characteristic unsteadiness and long-wavelength meandering. The problem is addressed in…

Earth and Planetary Astrophysics · Physics 2019-07-29 Stephen I. Thomson , Michael E. McIntyre

We conduct a thorough study of different forms of horizontally explicit and vertically implicit (HEVI) time-integration strategies for the compressible Euler equations on spherical domains typical of nonhydrostatic global atmospheric…

In hot and ultra-hot Jupiters, stellar irradiation is a primary driver of atmospheric circulation and the wave structures that sustain it. We aim to investigate how variations in radiative and dynamical timescales influence global flow…

Earth and Planetary Astrophysics · Physics 2025-07-02 C. Akın , K. Heng , J. M. Mendonça , R. Deitrick , L. Gkouvelis

Efficient performance of a number of engineering systems is achieved through different modes of operation - yielding systems described as "hybrid", containing both real-valued and discrete decision variables. Prominent examples of such…

Optimization and Control · Mathematics 2019-10-22 Ehsan Taheri , John L. Junkins , Ilya Kolmanovsky , Anouck Girard

We describe a newly developed cosmological hydrodynamics code based on the weighted essentially non-oscillatory (WENO) schemes for hyperbolic conservation laws. High order finite difference WENO schemes are designed for problems with…

Astrophysics · Physics 2007-05-23 Long-Long Feng , Chi-Wang Shu , Meng-Ping Zhang

The recently developed energy conserving semi-implicit method (ECsim) for PIC simulation is applied to multiple scale problems where the electron-scale physics needs to be only partially retained and the interest is on the macroscopic or…

Computational Physics · Physics 2017-05-24 Giovanni Lapenta , Diego Gonzalez-Herrero , Elisabetta Boella

Exploring diverse planetary atmospheres requires modeling tools that are both accurate and flexible. Here, we develop a three-dimensional general circulation model (3D GCM) that for the first time uses a line-by-line approach to describe…

Earth and Planetary Astrophysics · Physics 2019-06-27 Feng Ding , Robin D. Wordsworth

There is growing observational and theoretical evidence suggesting that atmospheric escape is a key driver of planetary evolution. Commonly, planetary evolution models employ simple analytic formulae (e.g., energy limited escape) that are…

We propose a new explicit pseudo-energy and momentum conserving scheme for the time integration of Hamiltonian systems. The scheme, which is formally second-order accurate, is based on two key ideas: the integration during the time-steps of…

Numerical Analysis · Mathematics 2020-08-14 Frédéric Marazzato , Alexandre Ern , Christian Mariotti , Laurent Monasse

The hybrid kinetic-ion fluid-electron plasma model is widely used to study challenging multi-scale problems in space and laboratory plasma physics. Here, a novel conservative scheme for this model employing implicit particle-in-cell…

Plasma Physics · Physics 2022-04-13 A. Stanier , L. Chacon

We perform an extensive study of numerical convergence for hot-Jupiter atmospheric flow solutions in simulations employing a setup commonly-used in extrasolar planet studies, a resting state thermally forced to a prescribed temperature…

Earth and Planetary Astrophysics · Physics 2021-04-28 J. W. Skinner , J. Y-K. Cho

This paper proposes a virtual element method (VEM) combined with a second-order implicit-explicit scheme based on the scalar auxiliary variable (SAV) method for the incompressible magnetohydrodynamics (MHD) equations. We employ the BDF2…

Numerical Analysis · Mathematics 2024-10-25 Xiaojing Dong , Yunqing Huang , Tianwen Wang

This work introduces an approach to enhancing the computational efficiency of 3D atmospheric simulations by integrating a machine-learned surrogate model into the OASIS global circulation model (GCM). Traditional GCMs, which are based on…

Earth and Planetary Astrophysics · Physics 2024-11-05 Tara P. A. Tahseen , João M. Mendonça , Kai Hou Yip , Ingo P. Waldmann

Continuous physical domains are important for scientific investigations of dynamical processes in the atmosphere. However, missing data arising from operational constraints and adverse environmental conditions pose significant challenges to…

Atmospheric and Oceanic Physics · Physics 2025-09-03 Jiahui Hu , Wenjun Dong , Alan Z. Liu

We present an energy-stable scheme for simulating the incompressible Navier-Stokes equations based on the generalized Positive Auxiliary Variable (gPAV) framework. In the gPAV-reformulated system the original nonlinear term is replaced by a…

Computational Physics · Physics 2020-07-15 L. Lin , N. Ni , Z. Yang , S. Dong

Despite the unprecedented volume of multimodal data provided by modern Earth observation systems, our ability to model atmospheric dynamics remains constrained. Traditional modeling frameworks force heterogeneous measurements into…

In this paper we carry out numerical analysis for a family of simplified gas transport models with hydrate formation and dissociation in subsurface, in equilibrium and non-equilibrium conditions. These models are adequate for simulation of…

Numerical Analysis · Mathematics 2021-03-18 Malgorzata Peszynska , Choah Shin