WAVES AND INTERMITTENT TURBULENCE IN THE STABLE PBL

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Presentation transcript:

WAVES AND INTERMITTENT TURBULENCE IN THE STABLE PBL Carmen Nappo Knoxville, TN 37919

OBJECTIVE EXAMINE THE CORRESPONDENCE BETWEEN EPISODES OF INTERMITTENT TURBULENCE AND GRAVITY WAVES.

NUMERICAL ANALYSIS IDENTIFY WAVE-LIKE DISTURBANCES USING WAVELET ANALYSES BAND-PASS FILTER SURFACE PRESSURE DATA CALCULATE WAVE SPEED AND DIRECTION ROTATE COORDINATES SO THAT X-AXIS IS PARALLEL TO WAVE VECTOR CALCULATE TURBULENCE FLUXES OVER 30-s INTERVALS AND THEN AVERAGE THESE OVER CONSECUTIVE WAVE PERIODS PLOT TOWER PROFILES DURING WAVE AND NON-WAVE PERIODS

CASES-99 NIGHTS 06 October : Blumen et al (2001), Newsom and Banta (2003) 14 October : Fritts et al. (2003) 18 October : Sun et al. (2002), Sun et al. (2004)

6 OCTOBER RICHARDSON NUMBER 45 - 55 m Moderate to weekly stable.

WAVELET ANALYSIS PERIOD 1 PERIOD 3 PERIOD 2 Periods 1,2 and 3 observed and analyzed by Blumen (2001), Newsome and Banta (2003). A VERY DISTURBED NIGHT. PERIOD 2

LAG ANALYSIS : 06 OCT. 19 75˚ 22×103 1.5 (1.0) 2.5 (5.1) 46˚ (36˚) TIME (UTC) AVERAGE PERIOD (min) SPEED (ms-1) DIRECTION WAVELENGTH (m) 04:45 - 5:30 PERIOD 1 19 15-23 min filter 75˚ 22×103 05:00 - 05:40 PERIOD 2 1.5 (1.0) 1-3 min filter 2.5 (5.1) 46˚ (36˚) 225 (299) 06:20 - 06:40 PERIOD 3 14 11-17 min filter 65 12103

FLUX PROFILES 06 OCTOBER

FLUX PROFILES 06 OCTOBER

14 OCTOBER RICHARDSON NUMBER 45 – 55 m Uniform stability.

14 OCTOBER 07:20 06:30 05:45 03:15 DUCTED GRAVITY WAVES WITH PERIODS BETWEEN 2 AND 7 MINUTES.

LAG ANALYSIS : 14 OCT. 2-7 min BAND-PASS FILTER TIME (UTC) AVERAGE PERIOD (min) SPEED (ms-1) PROPAGATION DIRECTION WAVELENGTH (m) 03:30 - 04:00 4.5 7 221 1800 05:30 - 06:00 11 245 3000 06:00 - 07:00 320 07:00 - 08:00 15 313 4000 We consider these disturbances discontinuous parts of a wave duct which is changing slightly with time.

TURBULENCE FLUX 14 OCTOBER FLUXES ARE CALCULATED OVER AN 18-MINUTE AVERAGE. BAND-PASS FILTER IS 2 – 7 MIN FOR ALL CALCULATIONS. RED LINE IS FOR ‘NO WAVE’ PERIOD.

TURBULENCE FLUX 14 OCTOBER FLUXES ARE CALCULATED OVER AN 18-MINUTE AVERAGE. BAND-PASS FILTER IS 2 – 7 MIN FOR ALL CALCULATIONS. RED LINE IS FOR ‘NO WAVE’ PERIOD.

18 OCTOBER RICHARDSON NUMBER 45 – 55 m Moderately variable stability.

18 OCTOBER Lag analysis using 10-20 min data C=6 ms-1, θ=293, length=5400 m, period=15 min EVENTS III REPORTED BY SUN ET AL. Sun, et al. (2004). C=2.3 ms-1, θ=273, length=1350 m, period=10 min

TURBULENCE FLUX 18 OCTOBER

TURBULENCE FLUX 18 OCTOBER The density currents appear to have a stronger effect on the turbulence than the wave-like disturbances. The wave disturbances may be associated with the density currents.

CONCLUSIONS WAVELET ANALYSES MAY BE A USEFUL TOOL FOR COMPILING STATISTICS ON WAVE-TURBULENCE INTERACTIONS, ESPECIALLY DURING PERIODS OF WAVE BREAKING. HOWEVER, NOT ALL PERIODS OF LARGE WAVELET-ENERGY-DENSITY ARE ASSOCIATED WITH GRAVITY WAVES AND INTERMITTENT TURBULENCE. MORE DATA ANALYSIS IS REQUIRED. A QUANTITATIVE RELATION BETWEEN WAVE AMPLITUDES, PBL STABILITY, AND TURBULENCE INTENSITY MAY BE POSSIBLE. WAVE INSTABILITY RESULTS IN MUCH GREATER TURBULENCE IN THE PBL THAN DUCTED INTERNAL WAVES.