Articles | Volume 15, issue 19
Research article
14 Oct 2022
Research article |  | 14 Oct 2022

3D trajectories and velocities of rainfall drops in a multifractal turbulent wind field

Auguste Gires, Ioulia Tchiguirinskaia, and Daniel Schertzer

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Part 1: Multifractal analysis of wind turbine power and the associated biases
Jerry Jose, Auguste Gires, Yelva Roustan, Ernani Schnorenberger, Ioulia Tchiguirinskaia, and Daniel Schertzer
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Part 2: Joint multifractal analysis of available wind power and rain intensity from an operational wind farm
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Combined high-resolution rainfall and wind data collected for 3 months on a wind farm 110 km southeast of Paris (France)
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Earth Syst. Sci. Data, 14, 3807–3819,,, 2022
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Cited articles

Atlas, D., Srivastava, R. C., and Sekhon, R. S.: Doppler radar characteristics of precipitation at vertical incidence, Rev. Geophys., 11, 1–35,, 1973. a
Bagheri, G.: Numerical and experimental investigation of particle terminal velocity and aggregation in volcanic plumes, Thèse de doctorat no. Sc. 4844, PhD thesis, Université de Genève,, 2015. a
Beard, K. V.: Terminal velocity adjustment for cloud and precipitation aloft, J. Atmos. Sci, 34, 1293–1298, 1977. a
Best, A. C.: Empirical formulae for the terminal velocity of water drops falling through the atmosphere, Q. J. Roy. Meteor. Soc., 76, 302–311,, 1950. a
Biaou, A., Chauvin, F., Royer, J.-F., and Schertzer, D.: Analyse multifractale des précipitations dans un scénario GIEC du CNRM, Note de centre GMGEC, CNRM, Vol. 101, 2005. a
Short summary
Weather radars measure rainfall in altitude whereas hydro-meteorologists are mainly interested in rainfall at ground level. During their fall, drops are advected by the wind which affects the location of the measured field. Governing equation linking acceleration, gravity, buoyancy, and drag force is updated to account for oblateness of drops. Then multifractal wind is used as input to explore velocities and trajectories of drops. Finally consequence on radar rainfall estimation is discussed.