Skip to main content
×
Home
    • Aa
    • Aa

Assessment of the rain drop inertia effect for radar-based turbulence intensity retrievals

  • Albert C.P. Oude Nijhuis (a1), Felix J. Yanovsky (a2), Oleg Krasnov (a1), Christine M.H. Unal (a1), Herman W.J. Russchenberg (a1) and Alexander Yarovoy (a1)...
Abstract

A new model is proposed on how to account for the inertia of scatterers in radar-based turbulence intensity retrieval techniques. Rain drop inertial parameters are derived from fundamental physical laws, which are gravity, the buoyancy force, and the drag force. The inertial distance is introduced, which is a typical distance at which a particle obtains the same wind velocity as its surroundings throughout its trajectory. For the measurement of turbulence intensity, either the Doppler spectral width or the variance of Doppler mean velocities is used. The relative scales of the inertial distance and the radar resolution volume determine whether the variance of velocities is increased or decreased for the same turbulence intensity. A decrease can be attributed to the effect that inertial particles are less responsive to the variations of wind velocities. An increase can be attributed to inertial particles that have wind velocities corresponding to an average of wind velocities over their backward trajectories, which extend outside the radar resolution volume. Simulations are done for the calculation of measured radar velocity variance, given a 3-D homogeneous isotropic turbulence field, which provides valuable insight in the correct tuning of parameters for the new model.

Copyright
Corresponding author
Corresponding author: A.C.P. Oude Nijhuis Email: albertoudenijhuis@gmail.com
References
Hide All
[1] Spalart P.R.: Airplane trailing vortices. Annu. Rev. Fluid Mech., 30 (1) (1998), 107138.
[2] Barbaresco F. et al. : Wake vortex detection, prediction and decision support tools in SESAR program. 2013 IEEE/AIAA 32nd Digital Avionics Systems Conf., 2013, 6B1–1–6B1–15.
[3] Holzäpfel F.: Probabilistic two-phase aircraft wake-vortex model: further development and assessment. J. Aircr., 43 (3) (2006), 700708.
[4] Barbaresco F. et al. : Eddy Dissipation Rate (EDR) retrieval with ultra-fast high range resolution Electronic-Scanning X-band airport radar: Results of European FP7 UFO Toulouse Airport trials, 2015.
[5] Oude Nijhuis A.C.P.; Unal C.M.H.; Krasnov O.A.; Russchenberg H.W.J.; Yarovoy A.: Outlook for a new wind field retrieval technique: The 4D-Var wind retrieval. In Int. Radar Conf., 2014, 1–6.
[6] Bringi V.N.; Chandrasekar V.: Polarimetric Doppler Weather Radar: Principles and Applications, Cambridge University Press, Cambridge, UK, 2001.
[7] Doviak R.J.; Zrnic D.S.: Doppler Radar and Weather Observations, 2nd ed., Academic Press, San Diego, 1993.
[8] Mishchenko M.I.; Travis L.D.; Lacis A.A.: Scattering, Absorption, and Emission of Light by Small Particles, Cambridge University Press, Cambridge, UK, 2002.
[9] Pope S.B.: Turbulent Flows, Cambridge University Press, Cambridge, UK, 2000.
[10] Brewster K.A.; Zrnić D.S.: Comparison of eddy dissipation rates from spatial spectra of Doppler velocities and Doppler spectrum widths. J. Atmos. Ocean. Technol., 3 (3) (1986), 440452.
[11] Yanovsky F.J.; Russchenberg H.W.J.; Unal C.M.H.: Retrieval of information about turbulence in rain by using Doppler-polarimetric Radar. IEEE Trans. Microw. Theory Tech., 53 (2) (2005), 444450.
[12] O'Connor E.J. et al. : A method for estimating the turbulent kinetic energy dissipation rate from a vertically pointing Doppler lidar, and independent evaluation from balloon-borne in situ measurements. J. Atmos. Ocean. Technol., 27 (10) (2010), 16521664.
[13] Chan P.W.: Generation of an eddy dissipation rate map at the Hong Kong International Airport based on Doppler lidar data. J. Atmos. Ocean. Technol., 28 (1) (2011), 3749.
[14] Bohne A.R.: Radar detection of turbulence in precipitation environments. J. Atmos. Sci., 39 (8) (1982), 18191837.
[15] Frisch A.S.; Strauch R.G.: Doppler radar measurements of turbulent kinetic energy dissipation rates in a Northeastern Colorado convective storm. J. Appl. Meteorol., 15 (9) (1976), 10121017.
[16] Hocking W.K.: Observation and measurement of turbulence in the middle atmosphere with a VHF radar. J. Atmos. Terr. Phys., 48 (7) (1986), 655670.
[17] Shupe M.D.; Brooks I.M.; Canut G.: Evaluation of turbulent dissipation rate retrievals from Doppler cloud radar. Atmos. Meas. Tech., 5 (6) (2012), 13751385.
[18] Yanovsky F.J.; Prokopenko I.G., Prokopenko K.I.; Russchenberg H.W.J.; Ligthart L.P.: Radar estimation of turbulence eddy dissipation rate in rain. In IEEE Int. Symp. on Geoscience and Remote Sensing, volume 1, 2002, 63–65.
[19] Brandes E.A.; Zhang G.; Vivekanandan J.: An evaluation of a drop distribution–based polarimetric radar rainfall estimator. J. Appl. Meteor., 42 (5) (2003), 652660.
[20] Unal C.: High-resolution raindrop size distribution retrieval based on the Doppler spectrum in the case of slant profiling radar. J. Atmos. Ocean. Technol., 32 (6) (2015), 11911208.
[21] Yanovsky F.J.; Turenko D.M.; Oude Nijhuis A.C.P.; Krasnov O.A.; Yarovoy A.: A new model for retrieving information about turbulence intensity from radar signal. In 2015 IEEE Symp. on Signal Processing, June 2015, 1–6.
[22] Rogers R.R.; Tripp B.R.: Some radar measurements of turbulence in snow. J. Appl. Meteor., 3 (5) (1964), 603610.
[23] Yanovsky F.J.: Simulation study of 10 GHz radar backscattering from clouds, and solution of the inverse problem of atmospheric turbulence measurements. In 3rd Int. Conf. Computer Electromagnetic (CEM 96), volume, 1996, IEE, 1996, 188193.
[24] Yanovsky F.J.: Doppler-polarimetric retrieval of rain rate and turbulence intensity in precipitation. In Proc. Int. Conf. Mathematical Methods in Electromagnetic Theory, MMET ‘02, volume 1, Kiev, 2002, 281286.
[25] Khvorostyanov V.I.; Curry J.A.: Fall velocities of hydrometeors in the atmosphere: refinements to a continuous analytical power law. J. Atmos. Sci., 62 (12) (2005), 43434357.
[26] Beard K.V.; Chuang C.: A new model for the equilibrium shape of raindrops. J. Atmos. Sci., 44 (11) (1987), 15091524.
[27] Kolmogorov A.N.: Dissipation of energy in the locally isotropic turbulence. Proc. R. Soc. A Math. Phys. Eng. Sci., 434 (1890) (1991), 1517.
[28] Mann J.: Wind field simulation. Probabilistic Eng. Mech., 13 (4) (1998), 269282.
[29] Fang M.; Doviak R.J.: Coupled contributions in the Doppler radar spectrum width equation. J. Atmos. Ocean. Technol., 25 (12) (2008), 22452258.
[30] White A.B.; Lataitis R.J.; Lawrence R.S.: Space and time filtering of remotely sensed velocity turbulence. J. Atmos. Ocean. Technol., 16 (12) (1999), 19671972.
[31] Mishchenko M.I.: Calculation of the amplitude matrix for a nonspherical particle in a fixed orientation. Appl. Opt., 39 (6) (2000), 1026.
[32] Brandes E.A.; Zhang G.; Vivekanandan J.: Comparison of polarimetric radar drop size distribution retrieval algorithms. J. Atmos. Ocean. Technol., 21 (4) (2004), 584598.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

International Journal of Microwave and Wireless Technologies
  • ISSN: 1759-0787
  • EISSN: 1759-0795
  • URL: /core/journals/international-journal-of-microwave-and-wireless-technologies
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×

Keywords:

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 43 *
Loading metrics...

Abstract views

Total abstract views: 231 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 24th October 2017. This data will be updated every 24 hours.