Statistics and Spectra from the Pal et al. Low Froude Number Sphere Simulations

Here we display first and order velocity and density statistics as well as streamwise velocity component frequency spectra from Pal et al.'s series of sphere-inclusive wake simulations at Re=3700 and Froude numbers Fr=1, 3, oo. The simulations are documented in a yet unpublished manuscript submitted to JFM. A related earlier publication is

Anikesh Pal, Sutanu Sarkar, Antonio Pose, and Elias Balaras, "Regeneration of turbulent fluctuations in low-Froude-number flow over a sphere at a Reynolds number of 3700", Journal of Fluid Mechanics, 804, 2016.

Fr=∞

Mean Profiles

Scan in y mean_velocity

Scan in z mean_velocity

mean_velocity

mean_velocity

mean_velocity

mean_velocity

mean_velocity

mean_velocity

RMS Fluctuation Profiles

Scan in y rms_velocity

Scan in z rms_velocity

rms_velocity

rms_velocity

rms_velocity

rms_velocity

rms_velocity

rms_velocity

Turbulent Stress Profiles

Scan in y rms_velocity

Scan in z rms_velocity

rms_velocity

rms_velocity

rms_velocity

rms_velocity

Turbulent Flux Profiles

Scan in y rms_velocity

Scan in z rms_velocity

rms_velocity

rms_velocity

rms_velocity

rms_velocity

SPECTRA

x/D=3.41

Scan in y

Scan in z


x/D=21.41

Scan in y

Scan in z


x/D=40.18

Scan in y

Scan in z


x/D=66.73

Scan in y

Scan in z


Fr=3

Mean Profiles

Scan in y mean_velocity

Scan in z mean_velocity

mean_velocity

mean_velocity

mean_velocity

mean_velocity

mean_velocity

mean_velocity

RMS Fluctuation Profiles

Scan in y rms_velocity

Scan in z rms_velocity

rms_velocity

rms_velocity

rms_velocity

rms_velocity

rms_velocity

rms_velocity

Turbulent Stress Profiles

Scan in y rms_velocity

Scan in z rms_velocity

rms_velocity

rms_velocity

rms_velocity

rms_velocity

Turbulent Flux Profiles

Scan in y rms_velocity

Scan in z rms_velocity

rms_velocity

rms_velocity

rms_velocity

rms_velocity

SPECTRA

x/D=3.41

Scan in y

Scan in z


x/D=21.41

Scan in y

Scan in z


x/D=40.18

Scan in y

Scan in z


x/D=66.73

Scan in y

Scan in z


Fr=1

Mean Profiles

Scan in y mean_velocity

Scan in z mean_velocity

mean_velocity

mean_velocity

mean_velocity

mean_velocity

mean_velocity

mean_velocity

RMS Fluctuation Profiles

Scan in y rms_velocity

Scan in z rms_velocity

rms_velocity

rms_velocity

rms_velocity

rms_velocity

rms_velocity

rms_velocity

Turbulent Stress Profiles

Scan in y rms_velocity

Scan in z rms_velocity

rms_velocity

rms_velocity

rms_velocity

rms_velocity

Turbulent Flux Profiles

Scan in y rms_velocity

Scan in z rms_velocity

rms_velocity

rms_velocity

rms_velocity

rms_velocity

SPECTRA

x/D=3.41

Scan in y

Scan in z


x/D=21.41

Scan in y

Scan in z


x/D=40.18

Scan in y

Scan in z


x/D=66.73

Scan in y

Scan in z