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We study ridge estimation of the precision matrix in the high-dimensional setting where the number of variables is large relative to the sample size. We first review two archetypal ridge estimators and note that their utilized penalties do…

Methodology · Statistics 2016-06-17 Wessel N. van Wieringen , Carel F. W. Peeters

In this paper we present an analytical and numerical study of the response of a circumbinary disc subject to the tidal-forcing of a binary with a fixed circular orbit. We consider fluid discs with a range of thicknesses and binaries with a…

Astrophysics · Physics 2015-06-24 John D. Larwood , John C. B. Papaloizou

We study how stably stratified or semi-convective layers alter the tidal dissipation rates associated with the generation of internal waves in planetary interiors. We consider if these layers could contribute to the high rates of tidal…

Earth and Planetary Astrophysics · Physics 2023-07-05 Christina M. Pontin , Adrian J. Barker , Rainer Hollerbach

Supercritical carbon dioxide is of interest in a wide range of engineering problems, including carbon capture, utilization, and storage as well as advanced cycles for power generation. Non-ideal variations in physical properties of…

With the discovery of TRAPPIST-1 and its seven planets within 0.06 au, the correct treatment of tidal interactions is becoming necessary. The eccentricity, rotation, and obliquity of the planets of TRAPPIST-1 are indeed the result of tidal…

Earth and Planetary Astrophysics · Physics 2021-01-04 Emeline Bolmont , Sylvain N. Breton , Gabriel Tobie , Caroline Dumoulin , Stéphane Mathis , Olivier Grasset

In this work, we investigate tidal forces in the Lemaitre-Tolman-Bondi (LTB) metric, focusing on both hidden and locally visible singularities. We discuss the strength of these singularities in terms of deformationally strong singularities.…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Ashok B. Joshi , Dipanjan Dey , Pankaj S. Joshi , Vivekkumar R. Tank

We study how tides in a binary system induce some specific internal shear mixing, able to substantially modify the evolution of close binaries prior to mass transfer. We construct numerical models accounting for tidal interactions,…

Solar and Stellar Astrophysics · Physics 2015-06-16 H. F. Song , A. Maeder , G. Meynet , R. Q. Huang , S. Ekström , A. Granada

The wide bandwidth and large number of antennas used in millimeter wave systems put a heavy burden on the power consumption at the receiver. In this paper, using an additive quantization noise model, the effect of analog-digital conversion…

Information Theory · Computer Science 2016-11-18 Oner Orhan , Elza Erkip , Sundeep Rangan

A numerical model of isotropic homogeneous turbulence with helical forcing is investigated. The resulting flow, which is essentially the prototype of the alpha^2 dynamo of mean-field dynamo theory, produces strong dynamo action with an…

Astrophysics · Physics 2010-04-06 Axel Brandenburg

Analysing the impact of bottom friction on shallow water waves over bottom terrains is important in areas including environmental and coastal engineering as well as the oceanic and atmospheric sciences. However, current theoretical…

Fluid Dynamics · Physics 2023-06-28 Chang Liu , Antwan D. Clark

Experimental measurements and numerical simulations are made on fluid flow through cross-slot devices with a range of aspect (depth:width) ratios, 0.4 < alpha < 3.87. For low Reynolds numbers Re, the flow is symmetric and a sharp boundary…

Two-dimensional (axially symmetric) numerical hydrodynamical calculations of accretion flows which cannot cool through emission of radiation are presented. The calculations begin from an equilibrium configuration consisting of a thick torus…

Astrophysics · Physics 2009-10-31 James M. Stone , James E. Pringle , Mitchell C. Begelman

An algorithm to compute forces at the sea bed from a finite element solution to the mild slope wave equation is devised in this work. The algorithm is best considered as consisting of two logical parts: The first is concerned with the…

Atmospheric and Oceanic Physics · Physics 2007-05-23 S. J. Childs , J. W. Gonsalves

The work highlights the importance of directional spreading effects on wave overtopping estimation in shallow and mild sloping foreshores. Wave short-crestedness leads, in general, to a reduction of mean overtopping discharges on coastal…

Atmospheric and Oceanic Physics · Physics 2020-02-12 Corrado Altomare , Tomohiro Suzuki , Toon Verwaest

Turbulent flows above a solid surface are characterised by a hydrodynamic roughness that represents, for the far velocity field, the typical length scale at which momentum mixing occurs close to the surface. Here, we are theoretically…

Fluid Dynamics · Physics 2023-11-07 Pan Jia , Bruno Andreotti , Philippe Claudin

In close two-body astrophysical systems, such as binary stars or Hot Jupiter systems, tidal interactions often drive dynamical evolution on secular timescales. Many host stars and presumably giant gaseous planets feature a convective…

Solar and Stellar Astrophysics · Physics 2021-09-20 A. Astoul , A. J. Barker

Tidal flat topography provides crucial insights for understanding tidal flats and their dynamic evolution. However, the wide-ranging and rapidly changing nature of tidal flats, which are periodically submerged in shallow water, pose…

Atmospheric and Oceanic Physics · Physics 2023-09-29 Xiucheng Zheng , Bin Zhou , Hui Lei , Qianqian Su , Yuxuan Jin

Recent Juno observations have suggested that the heavy elements in Jupiter could be diluted throughout a large fraction of its gaseous envelope, providing a stabilising compositional gradient over an extended region of the planet. This…

Earth and Planetary Astrophysics · Physics 2019-06-26 Quentin André , Stéphane Mathis , Adrian J. Barker

The Strait of Gibraltar is a region characterized by intricate oceanic sub-mesoscale features, influenced by topography, tidal forces, instabilities, and nonlinear hydraulic processes, all governed by the nonlinear equations of fluid…

Geometrical dimensionality plays a fundamentally important role in the topological effects arising in discrete lattices. While direct experiments are limited by three spatial dimensions, the research topic of synthetic dimensions…