1. Isotropy
Kinetic Energy Spectrum

2. Turbulent Spectral Concepts
Turbulence Model
Homogenous and Stationary
Local Isotropy

3. Turbulent Kinetic Energy Spectra

4. 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

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

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

7. 1 D Velocity Spectra F(k)
1 D Temperature Spectra F(k)

8. 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

9. “Generic” Transverse Velocity Spectral Model

10. Determining A , B,

11. Determining

12. “Generic” Transverse Velocity Spectral Model

13. Temperature Cascade Processh L P e T P c L
Length Scale
Inertial Subrange
Viscous Convective
Subrange

14. “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 ?

15. ?

16. ?

17. “Generic” Temperature Spectral Model

18. Determining A’ , B’, C’,

21. “Generic” Temperature Spectral Model