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Numerical solutions of the incompressible magnetohydrodynamic (MHD) equations are reported for the interior of a rotating, perfectly-conducting, rigid spherical shell that is insulator-coated on the inside. A previously-reported spectral…

流体动力学 · 物理学 2009-11-13 P. D. Mininni , D. C. Montgomery , L. Turner

Streaming Dynamic Mode Decomposition (sDMD) (Hemati et al., Phys. Fluids 26(2014)) is a low-storage version of Dynamic Mode Decomposition (DMD) (Schmid, J. Fluid Mech. 656 (2010)), a data-driven method to extract spatio-temporal flow…

流体动力学 · 物理学 2022-06-16 Rui Yang , Xuan Zhang , Philipp Reiter , Moritz Linkmann , Detlef Lohse , Olga Shishkina

We introduce the optimized dynamic mode decomposition algorithm for constructing an adaptive and computationally efficient reduced order model and forecasting tool for global atmospheric chemistry dynamics. By exploiting a low-dimensional…

机器学习 · 计算机科学 2024-04-22 Meghana Velegar , Christoph Keller , J. Nathan Kutz

Using self-consistent magnetohydrodynamic (MHD) simulations, we explore the hypothesis that nonlinear MHD waves dominate the internal dynamics of galactic molecular clouds. We employ an isothermal equation of state and allow for…

天体物理学 · 物理学 2016-08-30 Charles F. Gammie , Eve C. Ostriker

We investigate roles of Alfvenic waves in the weakly-ionized atmosphere of hot Jupiters by carrying out non-ideal magnetohydrodynamic (MHD) simulations with Ohmic diffusion in one-dimensional magnetic flux tubes. Turbulence at the surface…

地球与行星天体物理 · 物理学 2015-08-19 Yuki A. Tanaka , Takeru K. Suzuki , Shu-ichiro Inutsuka

We used our newly developed magnetohydrodynamic (MHD) code to perform 2.5D simulations of a fast-mode MHD wave interacting with coronal holes (CH) of varying Alfv\'en speed which result from assuming different CH densities. We find that…

By performing a series of two-dimensional, special relativistic magnetohydrodynamic (MHD) simulations, we study signatures of gravitational waves (GWs) in the magnetohydrodynamically-driven core-collapse supernovae. In order to extract the…

高能天体物理现象 · 物理学 2015-05-18 Tomoya Takiwaki , Kei Kotake

Given the recent interest in magnetohydrodynamic (MHD) waves in pores and sunspot umbrae, we examine the damping of slow surface kink modes (SSKMs) by modeling solar photospheric waveguides with a cylindrical inhomogeneity comprising a…

太阳与恒星天体物理 · 物理学 2021-03-03 Shao-Xia Chen , Bo Li , Tom Van Doorsselaere , Marcel Goossens , Hui Yu , Michael Geeraerts

The operation of the solar global dynamo appears to involve many dynamical elements. Self-consistent MHD simulations which realistically incorporate all of these processes are not yet computationally feasible, though some elements can now…

天体物理学 · 物理学 2008-11-26 Allan Sacha Brun , Mark S. Miesch , Juri Toomre

This paper builds on the theoretical foundations for dynamic mode decomposition (DMD) of control-affine dynamical systems by leveraging the theory of vector-valued reproducing kernel Hilbert spaces (RKHSs). Specifically, control Liouville…

系统与控制 · 电气工程与系统科学 2025-03-17 Moad Abudia , Joel A. Rosenfeld , Rushikesh Kamalapurkar

Dynamic mode decomposition (DMD) is a data-driven method for estimating the dynamics of a discrete dynamical system. This paper proposes a tensor-based approach to DMD for applications in which the states can be viewed as tensors.…

数值分析 · 数学 2025-08-15 Arvind K. Saibaba , Misha E. Kilmer , Khalil Hall-Hooper , Fan Tian , Alex Mize

Dynamic mode decomposition (DMD) is a popular data-driven framework to extract linear dynamics from complex high-dimensional systems. In this work, we study the system identification properties of DMD. We first show that DMD is invariant…

数值分析 · 数学 2021-09-15 Jan Heiland , Benjamin Unger

We present a new approach to calculating time eigenvalues of the neutron transport operator (also known as $\alpha$ eigenvalues) by extending the dynamic mode decomposition (DMD) to allow for non-uniform time steps. The new method, called…

计算物理 · 物理学 2022-08-24 Ethan Smith , Ilham Variansyah , Ryan McClarren

The stability of nonaxisymmetric perturbations in differentially rotating astrophysical accretion disks is analyzed by fully incorporating the properties of shear flows. We verify the presence of discrete unstable eigenmodes with complex…

天体物理学 · 物理学 2009-10-31 K. Noguchi , T. Tajima , R. Matsumoto

We describe, analyze and validate the recently developed Alfv\'en Wave Solar Model (AWSoM), a 3D global model starting from the top of the chromosphere and extending into interplanetary space (up to 1-2 AU). This model solves the extended…

太阳与恒星天体物理 · 物理学 2014-01-06 R. Oran , B. van der Holst , E. Landi , M. Jin , I. V. Sokolov , T. I. Gombosi

Dissipation of magnetohydrodynamic (MHD) wave energy has been proposed as a viable heating mechanism in the solar chromospheric plasma. Here, we use a simplified one-dimensional model of the chromosphere to theoretically investigate the…

太阳与恒星天体物理 · 物理学 2015-09-23 Roberto Soler , Marc Carbonell , Jose Luis Ballester

We develop a novel data-driven approach to modeling the atmospheric boundary layer. This approach leads to a nonlocal, anisotropic synthetic turbulence model which we refer to as the deep rapid distortion (DRD) model. Our approach relies on…

流体动力学 · 物理学 2021-10-07 Brendan Keith , Ustim Khristenko , Barbara Wohlmuth

Nonequilibrium dynamics governed by electron-phonon (e-ph) interactions plays a key role in electronic devices and spectroscopies and is central to understanding electronic excitations in materials. The real-time Boltzmann transport…

材料科学 · 物理学 2023-11-14 Ivan Maliyov , Jia Yin , Jia Yao , Chao Yang , Marco Bernardi

We present the first magnetohydrodynamic model of the stellar chromospheric heating and acceleration of the outer atmospheres of cool evolved stars, using alpha Tau as a case study. We used a 1.5D MHD code with a generalized Ohm's law that…

太阳与恒星天体物理 · 物理学 2014-09-15 V. S. Airapetian , J. E. Leake , K. G. Carpenter

Turbulence and magnetic fields are components of the interstellar medium and are interconnected through plasma processes. In particular, the magnetic flux transport in the presence of magneto-hydrodynamic (MHD) turbulence is an essential…

高能天体物理现象 · 物理学 2025-07-30 C. N. Koshikumo , R. Santos-Lima , M. V. del Valle , E. M. de Gouveia Dal Pino , G. Guerrero , A. Lazarian