The impact of raindrop drift in a three-dimensional wind field on a radar–gauge rainfall comparison

There are many causes for the discrepancies between weather radar and rain gauges, and among these, displacement of raindrops due to wind drift – which is especially a problem with high-spatial resolution weather radar – is largely ignored in the published literature. This is mainly due to the lack of high-resolution three-dimensional wind fields and feasible treatment of the raindrop size distribution (DSD). In this study, a new systematic approach is proposed to explore the radar–gauge relationship under the wind influence. The mass-weighted mean diameter of raindrops is derived for each radar grid from the DSD data. The reanalysis project ERA-40 data of the European Centre for Medium-range Weather Forecasts (ECMWF) are used to drive the numerical weather research and forecasting (WRF) model to generate high-resolution hourly three-dimensional wind fields. Trajectories and displacements of raindrops are then computed using a three-dimensional motion equation from the given radar beam height to the ground surface. Based on the radar rainfall surface interpolated by the bicubic spline method, the correlation of the radar–gauge pairs is used to validate the results. A case study with 20 storm events in the Brue catchment in South West England is chosen to evaluate the proposed scheme. It has been found that when wind drift is taken into account, the correlation coefficient in hourly gauge–radar comparisons can be enhanced by up to 30% and the average correlation coefficient for an event can be improved by 10%. However, there are still some situations in which the scheme fails to work, indicating the complexity and uncertainties in tackling this challenging problem. Further studies are needed to explore why those cases cause problems to the scheme and how it could be improved to cope with them.

[1]  P. Courtier,et al.  The ECMWF implementation of three‐dimensional variational assimilation (3D‐Var). I: Formulation , 1998 .

[2]  Alexis Berne,et al.  Toward an error model for radar quantitative precipitation estimation in the Cevennes-Vivarais region, France ERAD 2006 , 2010 .

[3]  A. Sterl,et al.  The ERA‐40 re‐analysis , 2005 .

[4]  P. Mininni,et al.  Interactive desktop analysis of high resolution simulations: application to turbulent plume dynamics and current sheet formation , 2007 .

[5]  Isztar Zawadzki,et al.  Error Statistics of VPR Corrections in Stratiform Precipitation , 2005 .

[6]  Edmund C.C Choi,et al.  Numerical modelling of gust effect on wind-driven rain , 1997 .

[7]  Dawei Han,et al.  Characteristics of raindrop spectra as normalized gamma distribution from a Joss-Waldvogel Disdrometer , 2012 .

[8]  R. Moore,et al.  Static and dynamic calibration of radar data for hydrological use , 2000 .

[9]  John P. Clyne,et al.  A prototype discovery environment for analyzing and visualizing terascale turbulent fluid flow simulations , 2005, IS&T/SPIE Electronic Imaging.

[10]  Dawn Harrison,et al.  Improving precipitation estimates from weather radar using quality control and correction techniques , 2000 .

[11]  M. Kitchen,et al.  Real-time correction of weather radar data for the effects of bright band, range and orographic growth in widespread precipitation , 1994 .

[12]  Boris Sevruk,et al.  Estimation of Wind-Induced Error of Rainfall Gauge Measurements Using a Numerical Simulation , 1999 .

[13]  Neil I. Fox,et al.  An examination of the effect of wind-drift on radar-derived surface rainfall estimations , 2007 .

[14]  Adrian J. Saul,et al.  Using probabilistic radar rainfall nowcasts and NWP forecasts for flow prediction in urban catchments , 2012 .

[15]  Witold F. Krajewski,et al.  A method for filtering out raingauge representativeness errors from the verification distributions of radar and raingauge rainfall , 2004 .

[16]  N. Kouwen,et al.  Radar Signal Interpretation in Warm Season Rainstorms , 1990 .

[17]  Pj Northrop,et al.  Spatial-temporal rainfall fields: modelling and statistical aspects , 2000 .

[18]  D. Moisseev,et al.  Advection-Based Adjustment of Radar Measurements , 2012 .

[19]  V. Bell,et al.  The sensitivity of catchment runoff models to rainfall data at different spatial scales , 2000 .

[20]  Hervé Andrieu,et al.  Influence of the Vertical Profile of Reflectivity on Radar-Estimated Rain Rates at Short Time Steps , 2004 .

[21]  C. Collier The impact of wind drift on the utility of very high spatial resolution radar data over urban areas , 1999 .

[22]  A. Dai,et al.  Hydrometeorology of the Amazon in ERA-40 , 2005 .

[23]  V. Isham,et al.  Design of the HYREX raingauge network , 2000 .

[24]  E. Källén,et al.  Atmospheric mass‐transport inconsistencies in the ERA‐40 reanalysis , 2007 .

[25]  Gavin R. Essenberg,et al.  Comparative rainfall observations from pit and aboveground rain gauges with and without wind shields , 2001 .

[26]  Errors in surface rainfall rates retrieved from radar due to wind‐drift , 2005 .

[27]  G. Powers,et al.  A Description of the Advanced Research WRF Version 3 , 2008 .

[28]  R. Moore,et al.  Accuracy of rainfall measurement for scales of hydrological interest , 2000 .

[29]  Ian Cluckie,et al.  A high‐resolution radar experiment on the island of Jersey , 2007 .

[30]  Robin J. Hogan,et al.  Using mesoscale model winds for correcting wind‐drift errors in radar estimates of surface rainfall , 2004 .

[31]  C. Nicholass,et al.  The accuracy of radar‐derived rainfall measurements in hilly terrain , 1974 .

[32]  Dawei Han,et al.  Estimating reference evapotranspiration using numerical weather modelling , 2010 .

[33]  農業土木学会応用水文研究部会,et al.  応用水文 = Applied hydrology , 1991 .

[34]  Ian Cluckie,et al.  Radar hydrometeorology using a vertically pointing radar , 2000 .

[35]  Miguel A. Rico-Ramirez,et al.  Rainfall Estimation with an Operational Polarimetric C-band Radar in the UK: Comparison with a Gauge Network and Error Analysis , 2011 .

[36]  W. Krajewski,et al.  On the estimation of radar rainfall error variance , 1999 .

[37]  Roy Rasmussen,et al.  Snow Nowcasting Using a Real-Time Correlation of Radar Reflectivity with Snow Gauge Accumulation , 2003 .

[38]  Ian Cluckie,et al.  Bright‐band detection from radar vertical reflectivity profiles , 2007 .

[39]  Witold F. Krajewski,et al.  Estimation of radar-rainfall error spatial correlation , 2009 .

[40]  Dawei Han,et al.  Sensitivity of the Weather Research and Forecasting (WRF) model to downscaling ratios and storm types in rainfall simulation , 2012 .

[41]  J. S. Marshall,et al.  Advances in Radar Weather , 1955 .

[42]  J. Marshall,et al.  THE EFFECT OF WIND SHEAR ON FALLING PRECIPITATION , 1955 .