Isotropy Kinetic Energy Spectrum.

Slides:

Advertisements

Similar presentations

L ehrstuhl für Modellierung und Simulation Statistical theory of the isotropic turbulence (K-41 theory) 1. Basic definitions of the statistical theory.

Advertisements

Experimental tasks Spectra Extend to small scale; wavenumber dependence (Taylor hyp.); density, flow Verify existence of inertial range Determine if decorrelation.

Magnetic Chaos and Transport Paul Terry and Leonid Malyshkin, group leaders with active participation from MST group, Chicago group, MRX, Wisconsin astrophysics.

Canopy Spectra and Dissipation John Finnigan CSIRO Atmospheric Research Canberra, Australia.

ENVIRONMENTAL TURBULENCE 2 José Manuel REDONDO (*) Universitat Politècnica de Catalunya, Barcelona, Spain. Turbulence Course Vilanova i la Geltru.

Approximate Analytical/Numerical Solutions to the Groundwater Transport Problem CWR 6536 Stochastic Subsurface Hydrology.

Jonathan Morrison Beverley McKeon Dept. Aeronautics, Imperial College

Lecture 9 - Kolmogorov’s Theory Applied Computational Fluid Dynamics

Abstract We quantified turbulent dissipation in the Raritan river using both conventional methods and a novel technique, the structure function method.

TUBULENT FLUXES OF HEAT, MOISTURE AND MOMENTUM: MEASUREMENTS AND PARAMETERIZATION General definitions and dimensions: Flux of property c: F c =  wc 

Turbulent Scalar Mixing Revisiting the classical paradigm in variable diffusivity medium Gaurav Kumar Advisor: Prof. S. S. Girimaji Turbulence Research.

Free convection small when Nusselt Number for m = 0 and substituting expressions above for N u and q c For gas flows with nearly constant P r.

Dresden, May 2010 Introduction to turbulence theory Gregory Falkovich

Sensible heat flux Latent heat flux Radiation Ground heat flux Surface Energy Budget The exchanges of heat, moisture and momentum between the air and the.

Introduction to surface ocean modelling SOPRAN GOTM School Warnemünde: Hans Burchard Baltic Sea Research Institute Warnemünde, Germany.

Boundary Layer Meteorology Lecture 4 Turbulent Fluxes Energy Cascades Turbulence closures TKE Budgets.

Shock Acceleration at an Interplanetary Shock: A Focused Transport Approach J. A. le Roux Institute of Geophysics & Planetary Physics University of California.

A k-  model for turbulently thermal convection in solar like and RGB stars Li Yan Yunnan Astronomical Observatory, CAS.

The General Circulation of the Atmosphere Background and Theory.

CHE/ME 109 Heat Transfer in Electronics

Large Eddy Simulation of Rotating Turbulence Hao Lu, Christopher J. Rutland and Leslie M. Smith Sponsored by NSF.

Abstract For a while it seemed like a simple fluid-like, self-similar, Kolmogoroff cascade was the easy explanation for the nature and evolution of the.

This work was performed under the auspices of the U.S. Department of Energy by the University of California Lawrence Livermore National Laboratory under.

Waves Transferring Energy. Waves: traveling disturbance that carries energy from one place to another Waves travel through water, but they do not carry.

Multi-Scale Physics Faculty of Applied Sciences The formation of mesoscale fluctuations by boundary layer convection Harm Jonker.

0 Local and nonlocal conditional strain rates along gradient trajectories from various scalar fields in turbulence Lipo Wang Institut für Technische Verbrennung.

Anthony Illingworth, Robin Hogan, Ewan O’Connor, U of Reading, UK Dominique Bouniol, CETP, France CloudNET: retrieving turbulence parameters from cloud.

Reynolds-Averaged Navier-Stokes Equations -- RANS

Turbulent properties: - vary chaotically in time around a mean value - exhibit a wide, continuous range of scale variations - cascade energy from large.

Budgets of second order moments for cloudy boundary layers 1 Systematische Untersuchung höherer statistischer Momente und ihrer Bilanzen 1 LES der atmosphärischen.

Energy the ability to cause change Mechanical Energy Energy of motion AND position (sum of the potential and kinetic energy of an object)

LES of Turbulent Flows: Lecture 2 (ME EN )

Physics of turbulence at small scales Turbulence is a property of the flow not the fluid. 1. Can only be described statistically. 2. Dissipates energy.

Delft University of Technology 1 CESAR Science Day, 19 June 2013 Albert Oude Nijhuis Dynamics of turbulence in precipitation: Unravelling the eddies.

Mesoscale energy spectra for a simulated squall line Fuqing Zhang Rich Rotunno Y. Qiang Sun Groupmeeting

ARSM -ASFM reduction RANSLESDNS 2-eqn. RANS Averaging Invariance Application DNS 7-eqn. RANS Body force effects Linear Theories: RDT Realizability, Consistency.

ESTIMATION METHODS We know how to calculate confidence intervals for estimates of  and  2 Now, we need procedures to calculate  and  2, themselves.

TIM2011 SOSGSSD, May 17-19, 2011 Measurements of Probability Density Function in a Thermal Mixing Layer Embedded in Uniformly Sheared Turbulence Amir Behnamian.

Second - Order Closure. Material Derivative Gradient terms.

Mixing Length of Hydrogen in an Air Intake Greg Lilik EGEE 520.

Meteorological Variables 1. Local right-hand Cartesian coordinate 2. Polar coordinate x y U V W O O East North Up Dynamic variable: Wind.

The energy and temperature dissipation rates. The budget equation: ● Turbulent kinetic energy ● Turbulent motion ● Potential energy ● Molecular diffusion.

Generation of anisotropic turbulence in drifting proton-alpha plasmas Yana Maneva, S. Poedts CmPA, KU Leuven In collaboration with: A. Viñas and L. Ofman.

Fc = wc = wc + w’c’ (1)

Objective Introduce Reynolds Navier Stokes Equations (RANS)

ESTIMATION METHODS We know how to calculate confidence intervals for estimates of  and 2 Now, we need procedures to calculate  and 2 , themselves.

GEC BHARUCH FLUID FLOW OPERATION CHEMICAL ENGINEERING SEM:3.

Introduction to the Turbulence Models

End of Semester Groupmeeting

Chapter 8: Internal Flow

An overview of turbulent transport in tokamaks

General form of conservation equations

Coastal Ocean Dynamics Baltic Sea Research Warnemünde

Reynolds-Averaged Navier-Stokes Equations -- RANS

Introduction to Symmetry Analysis

Stochastic Acceleration in Turbulence:

Energy Transfers IB SL.

Third-Moment Descriptions of the Interplanetary Turbulent Cascade, Intermittency, and Back Transfer Bernard J. Vasquez1, Jesse T. Coburn1,2, Miriam A.

Fourier Analyses Time series Sampling interval Total period

Kinetic Theory.

EXAM E Written test A B C D E F CFD

Mean and Fluctuating Quantities

Kinetic Theory.

Characteristics of Turbulence:

Kinetic Theory.

Turbulent Kinetic Energy (TKE)

Objective Discus Turbulence

ESTIMATION METHODS We know how to calculate confidence intervals for estimates of  and 2 Now, we need procedures to calculate  and 2 , themselves.

Convective Heat Transfer

Turbulent properties:

Presentation transcript:

Isotropy Kinetic Energy Spectrum

Turbulent Spectral Concepts Turbulence Model Homogenous and Stationary Local Isotropy

Turbulent Kinetic Energy Spectra

G: Longitudinal (Parallel, P) and F:Transverse (Across, A) Spectra Longitudinal (Parallel, P) and Transverse (Across, A) Correlation Functions Rotate Coordinate System G: Longitudinal (Parallel, P) and F:Transverse (Across, A) Spectra Integral Scales

Energy Cascade (from T/L p 256) Vorticity Equation Energy Transferred 2 1 3 Results

The Cascade Process (B =0) Energy Production From Mean Flow P Transfer T Dissipation e L Wavenumber k Lengthscale r r decreasing increasing

1 D Velocity Spectra F(k) 1 D Temperature Spectra F(k)

Estimating F(k) and F(k) from at Sea Measurements SMAST T-REMUS Autonomous Underwater Vehicle Turbulent Velocity “Shear”Probes x Turbulent Temperature Gradient Probes U= Mean Speed Produced by AUV

“Generic” Transverse Velocity Spectral Model

Determining A , B,

Determining

“Generic” Transverse Velocity Spectral Model

Temperature Cascade Process h L P e T P c L Length Scale Inertial Subrange Viscous Convective Subrange

“Generic” Temperature Spectral Model Factors Temperature is a passive scalar Temperature Variance Cascaded by c Temperature (heat) in ocean diffuses at a spatial scale determined by ?

?

?

“Generic” Temperature Spectral Model

Determining A’ , B’, C’,

“Generic” Temperature Spectral Model