Download or read book Ideal Magnetofluid Turbulence in Two Dimensions written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1996 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "A continuum model of coherent structures in two-dimensional magnetohydrodynamic turbulence is developed. These structures are macroscopic states which persist amongst the turbulent microscopic fluctuations, typically as magnetic islands with flow. They are modeled as statistical equilibrium states for the ideal (nondissipative) dynamics, which conserves energy and families of cross-helicity and flux integrals. The model predicts that an ideal magnetofluid will evolve into a turbulent relaxed state having steady mean magnetic and velocity fields, and Gaussian local fluctuations in these fields. Excellent qualitative and quantitative agreement is found with the results of direct numerical simulations. A rigorous justification of the theory is also provided, in the sense that the continuum model is derived from a lattice model in a fixed-volume, small-spacing limit. This construction uses the discrete Fourier transform to link the discretization of x-space with the truncation of k-space. The lattice model is defined by the most probable distribution on the discretized phase space that respects the approximated dynamical constraints. A concentration property shows that this distribution is equivalent to the microcanonical distribution in the continuum limit."
Download or read book Multispectral Reduction of Two Dimensional Turbulence written by Malcolm Roberts and published by Malcolm Roberts. This book was released on 2011 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Transition to Turbulence written by Tapan K. Sengupta and published by Cambridge University Press. This book was released on 2021-09-30 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Magnetohydrodynamic Turbulence written by Dieter Biskamp and published by Cambridge University Press. This book was released on 2003-07-31 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an introduction to, and modern account of, magnetohydrodynamic (MHD) turbulence, an active field both in general turbulence theory and in various areas of astrophysics. The book starts by introducing the MHD equations, certain useful approximations and the transition to turbulence. The second part of the book covers incompressible MHD turbulence, the macroscopic aspects connected with the different self-organization processes, the phenomenology of the turbulence spectra, two-point closure theory, and intermittency. The third considers two-dimensional turbulence and compressible (in particular, supersonic) turbulence. Because of the similarities in the theoretical approach, these chapters start with a brief account of the corresponding methods developed in hydrodynamic turbulence. The final part of the book is devoted to astrophysical applications: turbulence in the solar wind, in accretion disks, and in the interstellar medium. This book is suitable for graduate students and researchers working in turbulence theory, plasma physics and astrophysics.
Download or read book Theory and Simulation of Real and Ideal Magnetohydrodynamic Turbulence written by John V. Shebalin and published by BiblioGov. This book was released on 2013-08 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Incompressible, homogeneous magnetohydrodynamic (MHD) turbulence consists of fluctuating vorticity and magnetic fields, which are represented in terms of their Fourier coefficients. Here, a set of five Fourier spectral transform method numerical simulations of two-dimensional (2-D) MHD turbulence on a 512(sup 2) grid is described. Each simulation is a numerically realized dynamical system consisting of Fourier modes associated with wave vectors k, with integer components, such that k = k less than or equal to k(sub max). The simulation set consists of one ideal (non-dissipative) case and four real (dissipative) cases. All five runs had equivalent initial conditions. The dimensions of the dynamical systems associated with these cases are the numbers of independent real and imaginary parts of the Fourier modes. The ideal simulation has a dimension of 366104, while each real simulation has a dimension of 411712. The real runs vary in magnetic Prandtl number P(sub M), with P(sub M) is a member of {0.1, 0.25, 1, 4}. In the results presented here, all runs have been taken to a simulation time of t = 25. Although ideal and real Fourier spectra are quite different at high k, they are similar at low values of k. Their low k behavior indicates the existence of broken symmetry and coherent structure in real MHD turbulence, similar to what exists in ideal MHD turbulence. The value of PM strongly affects the ratio of kinetic to magnetic energy and energy dissipation (which is mostly ohmic). The relevance of these results to 3-D Navier-Stokes and MHD turbulence is discussed.
Download or read book The Statistical Mechanics of Ideal Homogeneous Turbulence written by John V. Shebalin and published by . This book was released on 2002 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plasmas, such as those found in the space environment or in plasma confinement devices, are often modeled as electrically conducting fluids. When fluids and plasmas are energetically stirred, regions of highly nonlinear, chaotic behavior known as turbulence arise. Understanding the fundamental nature of turbulence is a long-standing theoretical challenge. The present work describes a statistical theory concerning a certain class of nonlinear, finite dimensional, dynamical models of turbulence. These models arise when the partial differential equations describing incompressible, ideal (i.e., non-dissipative) homogeneous fluid and magnetofluid (i.e., plasma) turbulence are Fourier transformed into a very large set of ordinary differential equations. These equations define a divergenceless flow in a high-dimensional phase space, which allows for the existence of a Lionville theorem, guaranteeing a distribution function based on constants of the motion (integral invariants).
Download or read book The Dynamics of Isotropic Turbulence in Two Dimensions written by William Hill Reid and published by . This book was released on 1959 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Turbulence in Magnetohydrodynamics written by Andrey Beresnyak and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-07-08 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Magnetohydrodynamics describes dynamics in electrically conductive fluids. These occur in our environment as well as in our atmosphere and magnetosphere, and play a role in the sun's interaction with our planet. In most cases these phenomena involve turbulences, and thus are very challenging to understand and calculate. A sound knowledge is needed to tackle these problems. This work gives the basic information on turbulence in nature, comtaining the needed equations, notions and numerical simulations. The current state of our knowledge and future implications of MHD turbulence are outlined systematically. It is indispensable for all scientists engaged in research of our atmosphere and in space science.
Download or read book Evolution of Mean Square Magnetic Vector Potential in Compressible Two Dimensional Magnetofluid Turbulence written by R. B. Dahlburg and published by . This book was released on 1987 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mean square magnetic vector potential is not invariant in ideal, two dimensional, compressible, magnetohydrodynamic turbulence. A new, related invariant for the compressible case is given. The results are demonstrated by numerical simulation. In the compressible case large amplitude fluctuations in the mean square magnetic vector potential are observed.
Download or read book Broken Symmetry in Ideal Magnetohydrodynamic Turbulence written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-08-16 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: A numerical study of the long-time evolution of a number of cases of inviscid, isotropic, incompressible, three-dimensional fluid, and magneto-fluid turbulence has been completed. The results confirm that ideal magnetohydrodynamic turbulence is non-ergodic if there is no external magnetic field present. This is due essentially to a canonical symmetry being broken in an arbitrary dynamical representation. The broken symmetry manifests itself as a coherent structure, i.e., a non-zero time-averaged part of the turbulent magnetic field. The coherent structure is observed, in one case, to contain about eighteen percent of the total energy. Shebalin, John V. Unspecified Center NASA-TM-109017, ICASE-93-49, NAS 1.15:109017, AD-A272673 RTOP 505-90-52-01...
Download or read book Homogeneous Turbulence Dynamics written by Pierre Sagaut and published by Springer. This book was released on 2018-03-23 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides state-of-the-art results and theories in homogeneous turbulence, including anisotropy and compressibility effects with extension to quantum turbulence, magneto-hydodynamic turbulence and turbulence in non-newtonian fluids. Each chapter is devoted to a given type of interaction (strain, rotation, shear, etc.), and presents and compares experimental data, numerical results, analysis of the Reynolds stress budget equations and advanced multipoint spectral theories. The role of both linear and non-linear mechanisms is emphasized. The link between the statistical properties and the dynamics of coherent structures is also addressed. Despite its restriction to homogeneous turbulence, the book is of interest to all people working in turbulence, since the basic physical mechanisms which are present in all turbulent flows are explained. The reader will find a unified presentation of the results and a clear presentation of existing controversies. Special attention is given to bridge the results obtained in different research communities. Mathematical tools and advanced physical models are detailed in dedicated chapters.
Download or read book Mathematics of Two Dimensional Turbulence written by Professor Sergei Kuksin and published by . This book was released on 2014-05-14 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents recent progress in two-dimensional mathematical hydrodynamics, including rigorous results on turbulence in space-periodic fluid flows.
Download or read book Dissipative Forced Turbulence in Two dimensional Magnetohydrodynamics written by David E. Fyfe and published by . This book was released on 1976 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book New Perspectives in Turbulence written by L. Sirovich and published by . This book was released on 1991 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Investigation of the Dynamics of Magnetohydrodynamic Turbulence written by Wenli Zhang and published by . This book was released on 1994 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics of Two dimensional Turbulence Appendix written by Sergej B. Kuksin and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book deals with basic problems and questions, interesting for physicists and engineers working in the theory of turbulence. Accordingly Chapters 3-5 (which form the main part of this book) end with sections, where we explain the physical relevance of the obtained results. These sections also provide brief summaries of the corresponding chapters. In Chapters 3 and 4, our main goal is to justify, for the 2D case, the statistical properties of fluid's velocity"--
Download or read book Statistical Mechanics of Organized Structures in Two dimensional Magnetofluid Turbulence written by Richard Jordan and published by . This book was released on 1997 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:
