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Clipping refers to adding 1 line of code A=min{A,B} to force the variable A to stay below a present bound B. Phenomenological clipping also occurs in turbulence models to correct for over dissipation caused by the action of eddy viscosity…

Fluid Dynamics · Physics 2021-09-27 Kiera Kean , William Layton , Michael Schneier

We show that the constant time lag prescription for tidal dissipation follows directly from the equations of motion of a tidally-forced viscous fluid body, given some basic assumptions. They are (i) dissipation results from a viscous force…

Earth and Planetary Astrophysics · Physics 2012-10-15 Aristotle Socrates , Boaz Katz

Dissipative processes in relativistic fluids are known to be important in the analyses of the hot QCD matter created in high-energy heavy-ion collisions. In this work, I consider dissipative corrections to energy and conserved charge…

Nuclear Theory · Physics 2018-10-08 Akihiko Monnai

This paper enhances the classic Smagorinsky model by introducing an innovative, adaptive dissipation term that adjusts dynamically with distance from boundary regions. This modification addresses a known limitation of the standard model…

A significant fraction of the changes in momentum distributions induced by dissipative phenomena in the description of the fluid fireball created in ultrarelativistic heavy-ion collisions actually take place when the fluid turns into…

Nuclear Theory · Physics 2014-07-22 Christian Lang , Nicolas Borghini

A popular method of forcing the fluid in Direct Numerical Simulations of turbulence is to take the body force proportional to the projection of the velocity of the fluid onto its lowest Fourier modes, while keeping the injected external…

Fluid Dynamics · Physics 2007-05-23 Charles R. Doering , Nikola P. Petrov

A formula for the tidal dissipation rate in a spherical body is derived from first principles, to correct some mathematical inaccuracies found in the literature. The development is combined with the Darwin-Kaula formalism for tides. Our…

Earth and Planetary Astrophysics · Physics 2015-12-22 Michael Efroimsky , Valeri V. Makarov

In this paper, we present the consistent evolution of short-period exoplanets coupling the tidal and gravothermal evolution of the planet. Contrarily to previous similar studies, our calculations are based on the complete tidal evolution…

Earth and Planetary Astrophysics · Physics 2015-05-18 Jérémy Leconte , Gilles Chabrier , Isabelle Baraffe , Benjamin Levrard

Recently, Sengupta and Ghosh [Phys. Fluids 34, 054116, (2022)] published a linear stability analysis of a pressure-driven channel flow which is subject to rotation around a spanwise axis and a uniform magnetic field applied in the same…

Fluid Dynamics · Physics 2022-10-03 Jānis Priede

The earlier paper [LK] (arXiv:0910.3432) contains a lower bound of the solution in terms of its $L^1$ norm, which is incorrect. In this note we explain the mistake and present a correction to it under the restriction that the permeability…

Analysis of PDEs · Mathematics 2010-12-01 Inwon C. Kim

After decades of experimental, theoretical, and numerical research in fluid dynamics, many aspects of turbulence remain poorly understood. The main reason for this is often attributed to the multiscale nature of turbulent flows, which poses…

Fluid Dynamics · Physics 2017-03-28 Arnoldo Badillo , Omar K. Matar

We present a new technique to obtain outer-bounds on the capacity region of networks with ultra low-rate feedback. We establish a connection between the achievable rates in the forward channel and the minimum distortion that can be attained…

Information Theory · Computer Science 2021-05-11 Alireza Vahid

We present numerical solutions to the extended Doering-Constantin variational principle for upper bounds on the energy dissipation rate in plane Couette flow, bridging the entire range from low to asymptotically high Reynolds numbers. Our…

Soft Condensed Matter · Physics 2009-10-31 Rolf Nicodemus , Siegfried Grossmann , Martin Holthaus

We study thermal fluctuation corrections to charge and heat conductivity in systems with locally conserved energy and charge, but without locally conserved momentum. Thermal fluctuations may naturally lead to a lower bound on diffusion…

Statistical Mechanics · Physics 2015-07-22 Pavel Kovtun

The authors of the comment[Phys. Rev. A 97, 046101 (2018)] raise that the inconsistency in calculating some common quantum-speed-limit (QSL) bounds, which is presented in our paper [Phys. Rev. A 95, 052118 (2017)], does not exist in their…

Quantum Physics · Physics 2018-05-08 Xin Liu , Wei Wu , Chao Wang

In this paper we present a reduced basis method which yields structure-preservation and a tight a posteriori error bound for the simulation of the damped wave equations on networks. The error bound is based on the exponential decay of the…

Numerical Analysis · Mathematics 2022-04-12 Nadine Stahl , Björn Liljegren-Sailer , Nicole Marheineke

We show that the cusp in the dark matter (DM) distribution required to explain the recently found excess in the gamma-ray spectrum at energies ~130 GeV in terms of the DM annihilations cannot survive the tidal forces if it is offset by…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-28 Dmitry Gorbunov , Peter Tinyakov

A significant mathematical error is identified and corrected in a recent highly-cited paper on oscillatory flows of second-grade fluids [Fetecau & Fetecau (2005). Int. J. Eng. Sci., 43, 781--789]. The corrected solutions are shown to agree…

Fluid Dynamics · Physics 2011-12-20 Ivan C. Christov , P. M. Jordan

In a recent article, Nature Communications 7 (2016) 12068, the authors claimed that they demonstrated sub-kBT energy dissipation at elementary logic operations. However, the argumentation is invalid because it neglects the dominant source…

Emerging Technologies · Computer Science 2016-09-19 Laszlo B. Kish

We argue that the constraints on transfers, given in the Letter [G. Plunk and T. Tatsuno, Phys. Rev. Lett. {\bf 106}, 165003 (2011)], but not correctly, do not give the transfer and/or cascade directions which however can be assisted by the…

Chaotic Dynamics · Physics 2011-11-29 Jian-Zhou Zhu