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Lightning activity prediction using a numerical weather prediction model
Uhlířová, Iva ; Popová, Jana (advisor) ; Zacharov, Petr (referee)
Lightning activity is considered a severe meteorological hazard that needs to be studied, monitored as well as predicted. This thesis focuses on the prediction of lightning activity by the Lightning Potential Index (LPI) in the COSMO numerical weather prediction (NWP) model that comprises 1- and 2-moment (1M and 2M, respectively) cloud microphysical schemes. The objective of this thesis is to investigate the correlation between the predicted lightning activity and the detected one (by the European network for lightning detection EUCLID). Events of the years 2018 and 2019 that recorded significant lightning activity over Czechia are considered for the analyses. For the first time over Czech region, the prognostic values of LPI calculated for each event are verified. In particular, the spatio- temporal distribution of the predicted vs. detected lightning activity is evaluated. Both spatial characterizations and diurnal course of detected lightning activity correspond well to the theoretical knowledge. Thus, spatial (horizontal) and temporal approaches are applied to verify the lightning activity prediction. The results of this thesis successfully verify the LPI prognostic values both in space by comparing the LPI values with the proximity of detected lightning flashes, and in time by contrasting the...
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Lightning activity prediction using a numerical weather prediction model
Uhlířová, Iva ; Popová, Jana (advisor) ; Zacharov, Petr (referee)
Lightning activity is considered a severe meteorological hazard that needs to be studied, monitored as well as predicted. This thesis focuses on the prediction of lightning activity by the Lightning Potential Index (LPI) in the COSMO numerical weather prediction (NWP) model that comprises 1- and 2-moment (1M and 2M, respectively) cloud microphysical schemes. The objective of this thesis is to investigate the correlation between the predicted lightning activity and the detected one (by the European network for lightning detection EUCLID). Events of the years 2018 and 2019 that recorded significant lightning activity over Czechia are considered for the analyses. For the first time over Czech region, the prognostic values of LPI calculated for each event are verified. In particular, the spatio- temporal distribution of the predicted vs. detected lightning activity is evaluated. Both spatial characterizations and diurnal course of detected lightning activity correspond well to the theoretical knowledge. Thus, spatial (horizontal) and temporal approaches are applied to verify the lightning activity prediction. The results of this thesis successfully verify the LPI prognostic values both in space by comparing the LPI values with the proximity of detected lightning flashes, and in time by contrasting the...
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Calculation of Values of Trigonometric Functions
Uhlířová, Iva ; Halas, Zdeněk (advisor) ; Štěpánová, Martina (referee)
Title: Calculation of Values of Trigonometric Functions Author: Iva Uhlířová Department: Department of Mathematics Education Supervisor: Mgr. Zdeněk Halas, DiS., Ph.D. Abstract: This bachelor thesis deals with various calculation methods of how to calculate values of trigonometric functions (sine and tangent chiefly). These methods either were used in the past times or are still used nowadays. However, in this thesis, these methods are explained in a modern way in order to be easily understandable by such readers who have basic knowledge of calculus. In each chapter, there is only one method discussed. At first, lengths of chords are calculated and a table of them is constructed, based on Ptolemy's and Copernicus' methods. Then, al-Kashi's approximation method is interpreted elaborately. Furthermore, Newton's method of development of Taylor series for the sine function is explained in detail. Last but not least the CORDIC algorithm is discussed. In order to provide a better understanding, there are particular values calculated in each chapter. Keywords: Almagest, CORDIC, Taylor series
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