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In combustion theory, flames are usually described in terms of the dynamics of iso-surfaces of a specific scalar. The flame displacement speed is then introduced as a local variable quantifying the progression of these iso-surfaces relative…

Fluid Dynamics · Physics 2024-12-18 Hernan Olguin , Pascale Domingo , Luc Vervisch , Christian Hasse , Arne Scholtissek

In this paper we show all possible ramps where an object can move with constant speed under the effect of gravity and friction. The planar ramp are very easy to describe, just rotate a curve with velocity vector (tanh(as),sech(as)). Recall…

Differential Geometry · Mathematics 2016-01-20 Oscar M. Perdomo

We measure the three components of velocity dispersion, $\sigma_{R},\sigma_{\theta},\sigma_{\phi}$, for stars within 6 < R < 30 kpc of the Milky Way using a new radial velocity sample from the MMT telescope. We combine our measurements with…

Astrophysics of Galaxies · Physics 2015-11-11 Charles King , Warren R. Brown , Margaret J. Geller , Scott J. Kenyon

The existence of critical points for the peculiar velocity field is a natural feature of the correlated vector field. These points appear at the junctions of velocity domains with different orientations of their averaged velocity vectors.…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-10 Hao Liu , Roya Mohayaee , Pavel Naselsky

Collinear velocity relaxation of two spheres immersed in a viscous incompressible fluid is studied on the basis of an approximate expression for the retarded hydrodynamic interaction. After a sudden impulse applied to one sphere, the other…

Fluid Dynamics · Physics 2020-04-22 B. U. Felderhof

We study the statistics of the horizontal component of atmospheric boundary layer wind speed. Motivated by its non-stationarity, we investigate which parameters remain constant or can be regarded as being piece-wise constant and explain how…

Data Analysis, Statistics and Probability · Physics 2008-11-21 T. Laubrich , F. Ghasemi , J. Peinke , H. Kantz

The vertical velocity in convective clouds ($w_c$) mediates convective anvil development and global moisture transport, influencing Earth's energy budget, but has yet to be estimated globally over long periods due to the absence of…

Atmospheric and Oceanic Physics · Physics 2026-04-07 Amel Derras-Chouk , Gregory Elsaesser , Zhengzhao Johnny Luo , Toshi Matsui , Andreas F. Prein , Jingbo Wu

An ideal compressible fluid is considered, with an equilibrium density being a given function of coordinates due to presence of some static external forces. The slow flows in such system, which do not disturb the density, are investigated…

Fluid Dynamics · Physics 2009-11-06 V. P. Ruban

This article presents a new algorithm, the Hyperbolic and Elliptic Points Tracking Algorithm (HEPTA), designed for automated tracking of elliptic and hyperbolic stationary points in two-dimensional non-stationary velocity fields defined on…

Atmospheric and Oceanic Physics · Physics 2025-05-12 A. A. Udalov , M. Yu. Uleysky

We propose an adaptive Hermite spectral method for the three-dimensional velocity space of the Boltzmann equation guided by a newly developed frequency indicator. For the homogeneous problem, the indicator is defined by the contribution of…

Numerical Analysis · Mathematics 2025-09-23 Sihong Shao , Yanli Wang , Jie Wu

The stellar velocity ellipsoid (SVE) in galaxies can provide important information on the processes that participate in the dynamical heating of their disc components (e.g. giant molecular clouds, mergers, spiral density waves, bars).…

We present a velocity-based moving mesh virtual element method for the numerical solution of PDEs involving moving boundaries. The virtual element method is used for computing both the mesh velocity and a conservative Arbitrary…

Numerical Analysis · Mathematics 2023-12-19 H. Wells , M. E. Hubbard , A. Cangiani

We consider the motion of a vortex in an asymptotically homogeneous condensate bounded by a solid wall where the wave function of the condensate vanishes. For a vortex parallel to the wall, the motion is essentially equivalent to that…

Soft Condensed Matter · Physics 2009-11-11 Peter Mason , Natalia G. Berloff , Alexander L. Fetter

The development of high-resolution imaging radars introduce a plethora of useful applications, particularly in the automotive sector. With increasing attention on active transport safety and autonomous driving, these imaging radars are set…

Signal Processing · Electrical Eng. & Systems 2024-10-30 Nihal Singh , Dibakar Sil , Ankit Sharma

We introduce a method to test if a given velocity definition corresponds to an actual physical flow, when the pulse propagation in dispersive medium is considered. i) We calculate the mean arrival time between two positions in space, using…

Optics · Physics 2012-09-27 Mehmet Emre Tasgin

From an extended relativistic dynamics for a particle moving in a cosmic background field with temperature T, we aim to obtain the speed of light with an explicit dependence on the background temperature of the universe. Although finding…

General Relativity and Quantum Cosmology · Physics 2021-02-04 Cláudio Nassif Cruz , Antônio Carlos Amaro de Faria

We analyze a technique of obtaining turbulence power spectrum using spectral line data along the velocity coordinate, which we refer to as Velocity Coordinate Spectrum (VCS). We formalize geometrical aspects of observation through a single…

Astrophysics · Physics 2007-05-23 A. Chepurnov , A. Lazarian

In the context of intra-cluster medium turbulence, it is essential to be able to split the turbulent velocity field in a compressive and a solenoidal component. We describe and implement a new method for this aim, i.e., performing a…

Instrumentation and Methods for Astrophysics · Physics 2021-03-02 David Vallés-Pérez , Susana Planelles , Vicent Quilis

Planetary transits provide a unique opportunity to investigate the surface distributions of star spots. Our aim is to determine if, with continuous observation (such as the data that will be provided by the Kepler mission), we can in…

Earth and Planetary Astrophysics · Physics 2015-06-04 J. Llama , M. Jardine , D. H. Mackay , R. Fares

In a disc galaxy the distribution of azimuthal components of velocity is very skew. In the past this skewness has been modelled by superposed Gaussians. We use dynamical arguments to derive an analytic formula that can be fitted to observed…

Astrophysics of Galaxies · Physics 2015-05-30 Ralph Schoenrich , James Binney