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On the basis of a squall line case that occurred on 11 May 2020 and a stratiform precipitation case that occurred on 6 June 2020, this paper compares the simultaneous observational data of Panyu DP-PAWR [64 m above mean sea level (MSL)] and Guangzhou CINRAD/SA-D (179 m MSL), which is located 3.6 km southeast of Panyu DP-PAWR, to verify the reliability of DP-PAWR data. Previous studies have suggested that CINRAD/SA-D data are reliable (Hu et al. [36]).
During the movement of the squall line on 11 May 2020, Nanhai DP-PAWR (38 m MSL) observed the triggering and development of a cell in front of the squall line and the merging of this cell with the squall line. The observational data were preliminarily analyzed to evaluate the role of data with high temporal and spatial resolution in studying the development and evolution of mesoscale weather systems.
The DP-PAWRs use a one-dimensional phase scan mode (electronic scanning in the direction of elevation and mechanical scanning in the azimuthal direction) and can complete a volume scan (12 continuous elevation angles, 0.9° - 20.7° in 1.8° steps; 400 azimuthal angles, 0°-360°, in 0.9° steps) within 90 seconds. CINRAD/SA-D uses the VCP21 scanning mode, which can complete a volume scan (nine non-continuous elevation angles, 0.5°-19.5°) in six minutes. The main operating parameters of the two kinds of radars are shown in Table 1.
Parameters DP-PAWR CINRAD/SA-D Antenna form Planar array antenna composed of 64
TR unitsPhysical plane antenna Antenna gain ≥36dB ≥44dB Beamwidth H/V 3.6°/1.8° ≤1° Polarization mode Dual-Polarization Dual-Polarization Peak power of transmitter ≥256W ≥650KW Pulse duration 20μs 1.57μs, 4.7μs Pulse repetition frequencies 400-4000HZ 322-1304HZ Noise coefficient ≤3.6dB ≤4dB Maximum detection range (km) < 42 < 230 Range bin length (m) 30 250 Scan time 90s 6min Scan mode Horizontal: 0-360°/0.9°
Vertical: 0.9-20.7°/1.8°VCP21 Table 1. Parameters of DP-PAWR and CINRAD/SA-D.
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Due to the obvious differences in the geographic locations and scanning methods of the Panyu DP-PAWR and Guangzhou CINRAD/SA-D, the observational data cannot be directly compared. Therefore, it was necessary to match the radar data in a certain way before performing comparative analysis. Using the method proposed by Zhang et al.[37] and Wu et al.[38], we first converted the DP-PAWR observational data from the polar coordinate system (azimuthal angle, elevation angle, and slant distance) to the geodetic coordinate system (latitude, longitude, and altitude), and then used the location information of the CINRAD/SA-D site to represent the DP-PAWR observational data using the CINRAD/SA-D polar coordinate system. This enabled the converted DP-PAWR data and interpolated CINRAD/SA-D data to be at the same location so they could be directly compared.
Assuming the coordinates of the DP-PAWR site are (αx, βx, hx), where αx is the latitude, βx is the longitude, and h x is the height, the azimuth, elevation and slant distance of any range bin in its polar coordinate system are (ax, ex, rx), and the latitude, longitude and altitude of the range bin in the geodetic coordinate system are recorded as (αg, βg, hg). Then, (αg, βg, hg) can be calculated using the spherical triangle formula:
$$ h_{g}=h_{x}+r_{x} \sin e_{x}+\frac{r_{x}^{2} \cos ^{2} e_{x}}{2 R_{e}}; $$ (1) $$ \alpha_{g}=\arcsin \left(\cos \left(s/R_{e}\right) \sin \alpha_{x}+\sin \left(s/R_{e}\right) \cos \alpha_{x} \cos a_{x}\right); $$ (2) $$ \beta_{g}=\arcsin \left(\frac{\sin a_{x} \sin \left(s/R_{e}\right)}{\cos \alpha_{g}}\right)+\beta_{x}; $$ (3) $$ \mathrm{~s}=R_{m} \arcsin \left(\frac{r_{x} \cos e_{x}}{R_{m}+h_{g}}\right). $$ (4) Here, Re is Earth's radius, Rm is Earth's equivalent radius (and $R_{m}=\frac{4}{3} R_{e} $), and s is the distance between two points on the Earth's surface. Then, combined with the location of the CINRAD/SA-D site (αs, βs, hs), the grid point (αg, βg, hg) can be represented using the CINRAD/SA-D polar coordinate system, and the corresponding azimuthal angle, elevation angle and slant distance can be written as as, es and rs, respectively. Then, the DP-PAWR data are matched with the CINRAD/SA-D data as follows:
$$ \sin a_{s}=\cos \alpha_{g} \sin \left(\beta_{g}-\beta_{s}\right)/\sin \left(\mathrm{s}^{\prime}/R_{e}\right), $$ (5) where
$$ \mathrm{s}^{\prime}=R_{e} \arccos \left(\sin \alpha_{g} \sin \alpha_{s}+\cos \alpha_{g} \cos \alpha_{s} \cos \left(\beta_{g}-\beta_{s}\right)\right), $$ (6) in which the azimuthal angle as is
$$ \alpha_{s}=\left\{\begin{array}{l} \arcsin \left(\cos \alpha_{g} \sin \left(\beta_{g}-\beta_{s}\right)/\sin \left(\mathrm{s}^{\prime}/R_{e}\right)\right) \\ \alpha_{g} \geqslant \alpha_{s}, \beta_{g} \geqslant \beta_{s} \\ {\rm{ \mathsf{ π}}}-\arcsin \left(\cos \alpha_{g} \sin \left(\beta_{g}-\beta_{s}\right)/\sin \left(\mathrm{s}^{\prime}/R_{e}\right)\right) \\ \alpha_{g}<\alpha_{s} \\ 2 {\rm{ \mathsf{ π}}}+\arcsin \left(\cos \alpha_{g} \sin \left(\beta_{g}-\beta_{s}\right)/\sin \left(\mathrm{s}^{\prime}/R_{e}\right)\right) \\ \alpha_{g} \geqslant \alpha_{s}, \beta_{g}<\beta_{s} \end{array}\right. $$ (7) the elevation angle es is
$$ e_{s}=\arctan \frac{\cos \left(\mathrm{s}^{\prime}/R_{m}\right)-\frac{R_{m}}{R_{m}+h_{g}-h_{s}}}{\sin \left(\mathrm{s}^{\prime}/R_{m}\right)}, $$ (8) and the slant distance rs is
$$ r_{s}=\frac{\left(R_{m}+h_{g}-h_{s}\right) \sin \left(\mathrm{s}^{\prime}/R_{m}\right)}{\cos e_{s}}. $$ (9) In this way, each location (ax, ex, rx) of the DP-PAWR range bin can be mapped to the corresponding location (as, es, rs) in the CINRAD/SA-D polar coordinate system. Then, the CINRAD/SA-D observational data are interpolated to calculate the values at the same position location (as, es, rs), and then the data of the two radars are matched and can be compared.
For the interpolation, in order to retain the echo structure features in the original volume scan data, the nearest neighbors in the radial and azimuthal directions and vertical linear interpolation methods were used. Interpolation data were applied to location (as, es, rs), where as and rs use the nearest-neighbor azimuthal angle and slope distance. When the es angle was within the detection range of CINRAD/SA-D, the two adjacent elevations es1 and es2 were used for interpolation. (as, es1, rs) and (as, es2, rs) are the intersection points of the vertical line passing through the points (as, es, rs) and the CINRAD/SA-D up and down elevation beam axis, and the data value fa(as, es, rs) at point (as, es, rs) can be obtained using vertical linear interpolation of data values of fa(as, es1, rs) and fa(as, es2, rs):
$$ f^{a}\left(a_{s}, e_{s}, r_{s}\right)=\frac{\left(\omega_{e 1} f^{a}\left(a_{s}, e_{s 1}, r_{s}\right)+\omega_{e 2} f^{a}\left(a_{s}, e_{s 2}, r_{s}\right)\right)}{\left(\omega_{e 1}+\omega_{e 2}\right)} . $$ (10) Here, ωe1 and ωe2 are interpolation weights for fa(as, es1, rs) and fa(as, es2, rs):
$$ \omega_{e 1}=\left(e_{s 2}-e_{s}\right) /\left(e_{s 2}-e_{s 1}\right) ; $$ (11) $$ \omega_{e 2}=\left(e_{s}-e_{s 1}\right) /\left(e_{s 2}-e_{s 1}\right). $$ (12) In this way, for the observational data of any range bin of DP-PAWR, the observational data of CINRAD/SA-D matching its location could be found, enabling direct comparison and analysis of the observational data from the two radars. It should be noted that the V data of the two radars could not be directly compared via this matching method. They could only be compared with the data on the contour line 1-2 km above the two radars (Liu et al.[39]).