Yc. Liou, Toward deducing the 3-D thermodynamic structure from only wind fields - A validation study using simulated dataset, TERR ATM OC, 12(1), 2001, pp. 15-38
This paper presents a newly designed thermodynamic retrieval algorithm wher
eby one can deduce the potential temperature and pressure gradient fields i
n a three dimensional space using only 3-D wind measurements, The latter ca
n be observed by Doppler radar in real cases. In order to achieve this purp
ose, all three equations of motion are implemented in a single cost functio
n. Then, given the detailed wind information, and through the process of va
riational minimization, these equations are solved simultaneously in a leas
t square sense. The products of the approximated solutions are the three di
mensional potential temperature, and the pressure gradients along any direc
tion, Some preliminary studies using model-generated data sets show that th
is is a feasible tool for the retrievals, and satisfactory results can be o
btained when the performance of this method against various types of input
data errors is investigated. Compared to the traditional method proposed by
Gal-Chen, the advantage of this scheme is that the vertical structure of t
he thermodynamic variables can be determined without requiring a point of i
ndependent observation of the pressure and temperature for each layer. In a
ddition, this method can easily be applied to an area with topography, It i
s believed that this algorithm can be of particularly useful in many Dopple
r weather radar applications.