Retrieval of Three-Dimensional Wind Fields Corrected for the Time-Induced Advection Problem

The present paper is devoted to a new method for the retrieval of three-dimensional wind fields at mesoscale and convective scale from dual-beam airborne Doppler radar data corrected for a time-induced advection problem. Data are obtained from airborne or/and ground-based Doppler radar. This correction is based on a new formalism for the determination of the advection speed. This formalism is mathematically described in this paper and an application to simulated and real wind fields deduced from the Multiple Analytical Doppler (MANDOP) method is presented. Thus, it benefits from the analytical formulation used in the MANDOP analysis. The resulting procedure called MANDOPA allows one to retrieve the 3D wind field corrected for the time-induced advection problem without the input of an advection speed retrieved independently. The procedure also allows one to retrieve the advection speed. This method is based on a minimization process between the theoretical temporal evolution of the radial velocity observed by one or more Doppler radars and the observed temporal evolution. The theoretical temporal evolution is calculated from the 3D wind field deduced from the first observation, while the observed temporal evolution is obtained by comparing this first observation of radial velocities with a second one.