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Your search keyword '"Samriddhi Sankar Ray"' showing total 5 results
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5 results on '"Samriddhi Sankar Ray"'

1. Editorial: Scaling the Turbulence Edifice

Author

Jérémie Bec, Giorgio Krstulovic, Takeshi Matsumoto, Samriddhi Sankar Ray, Dario Vincenzi, Centre de Mise en Forme des Matériaux (CEMEF), Mines Paris - PSL (École nationale supérieure des mines de Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS), Stochastic Approaches for Complex Flows and Environment (CALISTO), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Mines Paris - PSL (École nationale supérieure des mines de Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Joseph Louis LAGRANGE (LAGRANGE), Université Nice Sophia Antipolis (1965 - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire de la Côte d'Azur, and COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Université Côte d'Azur (UCA)-Université Côte d'Azur (UCA)-Centre National de la Recherche Scientifique (CNRS)

Subjects
Introduction, General Mathematics, turbulence, weak solutions, intermittency, scaling laws, General Engineering, General Physics and Astronomy, [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]
Abstract

Turbulence is unique in its appeal across physics, mathematics and engineering. And yet a microscopic theory, starting from the basic equations of hydrodynamics, still eludes us. In the last decade or so, new directions at the interface of physics and mathematics have emerged, which strengthens the hope of ‘solving’ one of the oldest problems in the natural sciences. This two-part theme issue unites these new directions on a common platform emphasizing the underlying complementarity of the physicists’ and the mathematicians’ approaches to a remarkably challenging problem. This article is part of the theme issue ‘Scaling the turbulence edifice (part 1)’.

Published
2022
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2. Elastic turbulence in a shell model of polymer solution

Author

Dario Vincenzi, Samriddhi Sankar Ray, International Centre for Theoretical Sciences [TIFR] (ICTS-TIFR), Tata Institute for Fundamental Research (TIFR), Laboratoire Jean Alexandre Dieudonné (JAD), Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS), Indo-French Center for Applied Mathematics (IFCAM), European Project: MP 1305 ,COST, Laboratoire Jean Alexandre Dieudonné (LJAD), Université Nice Sophia Antipolis (1965 - 2019) (UNS), and COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)

Subjects
Physics, media_common.quotation_subject, Chaotic, Fluid Dynamics (physics.flu-dyn), General Physics and Astronomy, FOS: Physical sciences, Mechanics, Physics - Fluid Dynamics, 47.52.+j47.57.Ng, Inertia, 01 natural sciences, Viscoelasticity, 010305 fluids & plasmas, Nonlinear Sciences::Chaotic Dynamics, Physics::Fluid Dynamics, 0103 physical sciences, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], Weissenberg number, Mean flow, Boundary value problem, [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], Elasticity (economics), 010306 general physics, media_common, Curse of dimensionality
Abstract

We show that, at low inertia and large elasticity, shell models of viscoelastic fluids develop a chaotic behaviour with properties similar to those of elastic turbulence. The low dimensionality of shell models allows us to explore a wide range both in polymer concentration and in Weissenberg number. Our results demonstrate that the physical mechanisms at the origin of elastic turbulence do not rely on the boundary conditions or on the geometry of the mean flow., Comment: 6 pages; 8 figures

Published
2016
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3. Sticky elastic collisions

Author

Jérémie Bec, Samriddhi Sankar Ray, Stefano Musacchio, Joseph Louis LAGRANGE (LAGRANGE), Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Observatoire de la Côte d'Azur, Université Côte d'Azur (UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Jean Alexandre Dieudonné (JAD), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS), International Centre for Theoretical Sciences [TIFR] (ICTS-TIFR), and Tata Institute for Fundamental Research (TIFR)

Subjects
Physics, Statistics and Probability, [PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn], Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Inertial particles, Probability and statistics, Statistical and Nonlinear Physics, Mechanics, Physics - Fluid Dynamics, Condensed Matter Physics, Nonlinear Sciences - Chaotic Dynamics, 01 natural sciences, 010305 fluids & plasmas, Elastic collision, Classical mechanics, Fractal, Incompressible flow, 0103 physical sciences, Chaotic Dynamics (nlin.CD), 010306 general physics
Abstract

The effects of purely elastic collisions on the dynamics of heavy inertial particles is investigated in a three-dimensional random incompressible flow. It is shown that the statistical properties of inter-particle separations and relative velocities are strongly influenced by the occurrence of sticky elastic collisions - particle pairs undergo a large number of collisions against each other during a small time interval over which, hence, they remain close to each other. A theoretical framework is provided for describing and quantifying this phenomenon and it is substantiated by numerical simulations. Furthermore, the impact of hydrodynamic interactions is discussed for such a system of colliding particles., 10 pages, 6 figures

Published
2013

4. Nelkin scaling for the Burgers equation and the role of high-precision calculations

Author

Samriddhi Sankar Ray, Sagar Chakraborty, Uriel Frisch, Walter Pauls, Joseph Louis LAGRANGE (LAGRANGE), Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Observatoire de la Côte d'Azur, and Université Côte d'Azur (UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)

Subjects
Mathematical analysis, Reynolds number, FOS: Physical sciences, Double-precision floating-point format, Nonlinear Sciences - Chaotic Dynamics, 01 natural sciences, 010305 fluids & plasmas, Burgers' equation, Physics::Fluid Dynamics, symbols.namesake, 0103 physical sciences, symbols, Chaotic Dynamics (nlin.CD), 010306 general physics, Spectral method, Scaling, ComputingMilieux_MISCELLANEOUS, Mathematics
Abstract

Nelkin scaling, the scaling of moments of velocity gradients in terms of the Reynolds number, is an alternative way of obtaining inertial-range information. It is shown numerically and theoretically for the Burgers equation that this procedure works already for Reynolds numbers of the order of 100 (or even lower when combined with a suitable extended self-similarity technique). At moderate Reynolds numbers, for the accurate determination of scaling exponents, it is crucial to use higher than double precision. Similar issues are likely to arise for three-dimensional Navier--Stokes simulations., 5 pages, 2 figures, Published in Phys. Rev E (Rapid Communications)

Published
2012
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5. Hyperviscosity, Galerkin Truncation, and Bottlenecks in Turbulence

Author

Achim Wirth, Susan Kurien, Rahul Pandit, Jian-Zhou Zhu, Walter Pauls, Uriel Frisch, Samriddhi Sankar Ray, Laboratoire de Cosmologie, Astrophysique Stellaire & Solaire, de Planétologie et de Mécanique des Fluides (CASSIOPEE), Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire de la Côte d'Azur, Université Côte d'Azur (UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Université Côte d'Azur (UCA)-Centre National de la Recherche Scientifique (CNRS), Max Planck Institute for Dynamics and Self-Organization (MPIDS), Max-Planck-Gesellschaft, Centre for Condensed Matter Theory [Bangalore], Indian Institute of Science [Bangalore] (IISc Bangalore), Laboratoire des Écoulements Géophysiques et Industriels [Grenoble] (LEGI), Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS)-Université Joseph Fourier - Grenoble 1 (UJF), Center for Nonlinear Studies Theoretical Division (CNLS), and Los Alamos National Laboratory (LANL)

Subjects
Truncation, FOS: Physical sciences, General Physics and Astronomy, 01 natural sciences, 010305 fluids & plasmas, Physics::Fluid Dynamics, symbols.namesake, Mathematics - Analysis of PDEs, Inviscid flow, 0103 physical sciences, FOS: Mathematics, Wavenumber, 010306 general physics, Galerkin method, Physics, [SDU.OCEAN]Sciences of the Universe [physics]/Ocean, Atmosphere, Turbulence, Fluid Dynamics (physics.flu-dyn), Physics - Fluid Dynamics, Nonlinear Sciences - Chaotic Dynamics, Fourier transform, Classical mechanics, symbols, Dissipative system, Chaotic Dynamics (nlin.CD), Laplace operator, Analysis of PDEs (math.AP)
Abstract

It is shown that the use of a high power $\alpha$ of the Laplacian in the dissipative term of hydrodynamical equations leads asymptotically to truncated inviscid \textit{conservative} dynamics with a finite range of spatial Fourier modes. Those at large wavenumbers thermalize, whereas modes at small wavenumbers obey ordinary viscous dynamics [C. Cichowlas et al. Phys. Rev. Lett. 95, 264502 (2005)]. The energy bottleneck observed for finite $\alpha$ may be interpreted as incomplete thermalization. Artifacts arising from models with $\alpha > 1$ are discussed., Comment: 4 pages, 2 figures, Phys. Rev. Lett. in press

Published
2008
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