1
5th International Conference on Reanalysis EVALUATION OF SZILAGYI WATERSPOUT NOMOGRAM AND TRIANGLE DIAGRAM BY ERA-INTERIM Asilhan Sirdas 1 , S., Ozmen 1 , I., Aydın 1 , M., Yavuz 1 , V.Y., and Kaya 1 , S. 1 Istanbul Technical University, Faculty of Aeronautics and Astronautics, Department of Meteorological Engineering, 34469, Maslak/Istanbul ([email protected], [email protected] , [email protected], [email protected], [email protected], [email protected]) ABSTRACT Climate change impacts on extreme and rare weather events are much more obvious so that many scientific studies have been focused on worldwide. The connection between the formation of waterspouts that are considered as rare event for Turkey, and the climate change has been a matter of curiosity. The vortex incident and waterspout have been observed 260 times in the period between 1997 and 2015 at Turkey, and the most of them were observed in the coast and lakes of Antalya. In this study, the data sets of ground base stations and ERA- Interim are studied for four extreme waterspout cases in Kale – Demre, Antalya station which were observed at the period between 2008 - 2013 were discussed in the study. ECMWF Reanalyse data ERA-Interim is used for different vertical heights, and the meteorological variables of ERA-Interim is downscaled on the station of Kale – Demre. The vertical thermodynamic structure of vortexes are analysed by diagrams and vertical indexes of Plymouth StateWeather Center. The acceptability of the Szilagyi Waterspout Index for four extreme cases are computed and the availability of waterspout predictions have been examined in the study. In addition, a triangle diagram was created as a new technique to predict the waterspouts by merging Sweat Index, relative humidity and 850 mb wind speed. Triangle Waterspout Diagram is designed for the waterspout cases in the Antalya region for period of 2000 and 2012. Key words: Triangle Diagram, Climate Change, Extreme Weather, Szilagyi Waterspout Index, Demre INTRODUCTION The waterspouts that are increasingly seen in Turkey in the recent period are considered to be one of the natural disasters that cause destruction of lives and property. Rennό and Bluestein (2001) has included the dynamic formulas of water waterspouts in their work "A Simple Theory for Waterspout" [1]. In the work "Numerical Simulation of Waterspouts Observed in The Tyrrhenian Sea", the position is simulated by the dynamic formula of the waterspout model located in the southeast of the island of Capraia [2]. Sioutasa and Keu investigated synoptic circulation patterns in the 28 waterspout event in the central and eastern regions of the Mediterranean [3]. The Szilagyi Nomogram, which Szilagyi included in his work "A Waterspout Forecasting Technique", was the basis of this study [4]. In Turkey, the number of cases in Turkey in 1940 - 2010-time period (Fig 1a) and the distribution of cases (Fig 1b) are given below (Fig 1). Fig 1 The distribution of observed waterspouts related to thunderstorms in Turkey between 2001 and 2010 The number of waterspouts has been increased the importance of the waterspout estimate. For this reason, we tried to investigate the consistency of the four water waterspout events in the 2008 – 2012 period in the Antalya region where the cases of Szilagyi Waterspout Index, which is used for water waterspout estimation in our study, concentrate and a triangle diagram of cases in the Antalya region was created during 2000 – 2012 period. DATA AND METHODOLOGY The basis of the Szilagyi Waterspout Index, which we investigated for our consistency for Kale- Demre / Antalya (Fig 2), is based on the Szilagyi Waterspout Nomogram (Fig 3) developed by Szilagy. The nomogram was created using 172 water waterspouts coming into the market for 21 years [4]. Fig 2 Location of study area in the south-western coast of Turkey; a) Turkey, b) Mediterranean coast of Turkey, and c) Kale-Demre town Fig 3 The Szilagyi Waterspout Nomogram The water waterspout nomogram was created by Wade Szilagyi in 1996 for the Great Lakes region. In this research, Szilagyi nomogram, which has been adapted to use in Mediterranean countries, has been used with minor changes [6]. In the Szilagyi Waterspout Index, the nominal value is calculated by calculating the Sea - 850 mb temperature difference and EL - LCL for the date when the event is expected to occur, and the potential water waterspout formation is predicted. It is an important detail that the nominal result for the Mediterranean is that the additional 850 mb wind speed should be lower than 42 knots [6]. Sea temperature, 850 mb temperature, 850 mb wind speed, vertical temperature and vertical relative humidity values required for nomogram are the reanalyses obtained from ECMWF. The data was opened using MATLAB and the edits were made via EXCEL. Vertical dew point values are calculated from EXCEL using the following formulas. [7] e_s=0,6113*exp (5423*(1/273,15-1/T)) (1) RH(%)=e/e_s (2) e=RH*100*e_s (3) T_d=((1/273,15)-(1,844*10^(-4) )*ln (e/e_(0 ) ) )^(-1) (4) Vertical temperature and vertical dew point values were processed in Skew - t diagram to find Equilibrium Level (EL) and Lifting Condensation Level (LCL) heights. Convective cloud depth (EL - LCL) was calculated with the help of EXCEL. The correctness of the LCL level is also checked by the following formula [8]. z_LCL= a*(T-Td) (5) a = 0,125 km K^(-1) (6) The triangle diagram at the end of the work was created at the Antalya location with the values of humidity - Sweat Index - 850 mb wind speeds in the dates of the water waterspouts between 2000 and 2012. The parameters used in the diagram are determined by considering the important variables used in the prediction of a water waterspout. The values used in the triangle diagram are daily values from the '' Plymouth State Weather Center '‘and the vertical data of ERA-Interim [8]. APPLICATION OF WATERSPOUT NOMOGRAM The Skew - t diagram of the four cases that are found in the Kale - Demre station is available. The values used in the Szilagyi Waterspout Nomogram are given in the table below. The data of the waterspouts at different times in the Demre district of Antalya were analysed and evaluated individually in the Szilagyi Waterspout Nomogram. The results are as follows. 9 March 2010 23 January 2009 16 December 2011 CONCLUSION As you can see in Figure 13, only one of the four waterspout cases in Kale - Demre region (09/03/2010) has a very small value in Szilagyi Waterspout Nomogram. The reason for this is that EL level cannot be determined. However, when we build the Skew - t diagram, the pressure levels can be plotted with more frequent intervals and the result may vary. On the other hand, in our examinations dated 23 January 2009 and 16 December 2011, the results were very close to the water waterspout formation border. The results of the cases dated December 20, 2011 are very close to the water waterspout formation area due to the upper low and have coordination with intersection of the mesocyclone water waterspout area. These results suggest that the Szilagyi Waterspout Index may be useful for predicting waterspouts in the Mediterranean but should be customized for the Antalya region. ERA- Interim data can be used for analysis of extreme cases. When the Triangle Diagram is examined, water waterspouts in the Antalya region have been found to be Fig 13 Szilagyi Waterspout Nomograms of all studied cases around 65% and above relative humidity. Considering Figure 7, the increase in the number of water waterspouts is 70% RH or more. In addition, it is seen that the sweat index value required for water waterspout formation in Antalya region is at least 200. On the other hand, it is seen that the water waterspout is not formed when the wind speed of 850 mb in the water waterspout cases between 2001 and 2012 is 5 knots lower. a) b) a) b) c) 20 December 2011 In our study, in addition to the Szilagyi Waterspout Index examination, we tried to determine the conditions of water waterspouts for Antalya with the Triangle Diagram which is created first time. In this diagram we have formed with the water waterspouts that form in Antalya between the years of 2001 and 2012, there is a tendency for the washer to concentrate on a certain area. The fact that the bottom right corner of the diagram is empty indicates that the probability of water waterspout formation in this area is low.

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Page 1: EVALUATION OF SZILAGYI WATERSPOUT NOMOGRAM AND … · customized for the Antalya region. ERA- Interim data can be used for analysis of extreme cases. When the Triangle Diagram is

5th International Conference on ReanalysisEVALUATION OF SZILAGYI WATERSPOUT NOMOGRAM AND TRIANGLE

DIAGRAM BY ERA-INTERIM

Asilhan Sirdas1, S., Ozmen1, I., Aydın1, M., Yavuz1, V.Y., and Kaya1, S.

1Istanbul Technical University, Faculty of Aeronautics and Astronautics, Department of Meteorological

Engineering, 34469, Maslak/Istanbul

([email protected], [email protected], [email protected], [email protected], [email protected], [email protected])

ABSTRACT

Climate change impacts on extreme and rare weather events are much more obvious so that many scientific

studies have been focused on worldwide. The connection between the formation of waterspouts that are

considered as rare event for Turkey, and the climate change has been a matter of curiosity. The vortex incident

and waterspout have been observed 260 times in the period between 1997 and 2015 at Turkey, and the most of

them were observed in the coast and lakes of Antalya. In this study, the data sets of ground base stations and

ERA- Interim are studied for four extreme waterspout cases in Kale – Demre, Antalya station which were

observed at the period between 2008 - 2013 were discussed in the study. ECMWF Reanalyse data ERA-Interim

is used for different vertical heights, and the meteorological variables of ERA-Interim is downscaled on the

station of Kale – Demre. The vertical thermodynamic structure of vortexes are analysed by diagrams and

vertical indexes of Plymouth State Weather Center. The acceptability of the Szilagyi Waterspout Index for four

extreme cases are computed and the availability of waterspout predictions have been examined in the study. In

addition, a triangle diagram was created as a new technique to predict the waterspouts by merging Sweat Index,

relative humidity and 850 mb wind speed. Triangle Waterspout Diagram is designed for the waterspout cases in

the Antalya region for period of 2000 and 2012.

Key words: Triangle Diagram, Climate Change, Extreme Weather, Szilagyi Waterspout Index, Demre

INTRODUCTION

The waterspouts that are increasingly seen in Turkey in the recent period are considered to be one of the

natural disasters that cause destruction of lives and property. Rennό and Bluestein (2001) has included the

dynamic formulas of water waterspouts in their work "A Simple Theory for Waterspout" [1]. In the work

"Numerical Simulation of Waterspouts Observed in The Tyrrhenian Sea", the position is simulated by the

dynamic formula of the waterspout model located in the southeast of the island of Capraia [2]. Sioutasa and

Keu investigated synoptic circulation patterns in the 28 waterspout event in the central and eastern regions of

the Mediterranean [3]. The Szilagyi Nomogram, which Szilagyi included in his work "A Waterspout

Forecasting Technique", was the basis of this study [4]. In Turkey, the number of cases in Turkey in 1940 -

2010-time period (Fig 1a) and the distribution of cases (Fig 1b) are given below (Fig 1).

Fig 1 The distribution of observed waterspouts related to thunderstorms in Turkey between 2001 and 2010

The number of waterspouts has been increased the importance of the waterspout estimate. For this

reason, we tried to investigate the consistency of the four water waterspout events in the 2008 – 2012 period

in the Antalya region where the cases of Szilagyi Waterspout Index, which is used for water waterspout

estimation in our study, concentrate and a triangle diagram of cases in the Antalya region was created during

2000 – 2012 period.

DATA AND METHODOLOGY

The basis of the Szilagyi Waterspout Index,

which we investigated for our consistency for Kale-

Demre / Antalya (Fig 2), is based on the Szilagyi

Waterspout Nomogram (Fig 3) developed by

Szilagy. The nomogram was created using 172 water

waterspouts coming into the market for 21 years [4].

Fig 2 Location of study area in the south-western coast

of Turkey; a) Turkey, b) Mediterranean coast of Turkey,

and c) Kale-Demre town

Fig 3 The Szilagyi Waterspout Nomogram

The water waterspout nomogram was created by

Wade Szilagyi in 1996 for the Great Lakes region.

In this research, Szilagyi nomogram, which has been

adapted to use in Mediterranean countries, has been

used with minor changes [6].

In the Szilagyi Waterspout Index, the nominal

value is calculated by calculating the Sea - 850 mb

temperature difference and EL - LCL for the date

when the event is expected to occur, and the

potential water waterspout formation is predicted.

It is an important detail that the nominal

result for the Mediterranean is that the additional

850 mb wind speed should be lower than 42

knots [6]. Sea temperature, 850 mb temperature,

850 mb wind speed, vertical temperature and

vertical relative humidity values required for

nomogram are the reanalyses obtained from

ECMWF. The data was opened using MATLAB

and the edits were made via EXCEL. Vertical

dew point values are calculated from EXCEL

using the following formulas. [7]

e_s=0,6113*exp(5423*(1/273,15-1/T)) (1)

RH(%)=e/e_s (2)

e=RH*100*e_s (3)

T_d=((1/273,15)-(1,844*〖10〗^(-4) )*ln(e/e_(0 ) )

)^(-1) (4)

Vertical temperature and vertical dew point

values were processed in Skew - t diagram to find

Equilibrium Level (EL) and Lifting Condensation

Level (LCL) heights. Convective cloud depth (EL

- LCL) was calculated with the help of EXCEL.

The correctness of the LCL level is also checked

by the following formula [8].

z_LCL= a*(T-Td) (5)

a = 0,125 km K^(-1) (6)

The triangle diagram at the end of the work

was created at the Antalya location with the

values of humidity - Sweat Index - 850 mb wind

speeds in the dates of the water waterspouts

between 2000 and 2012. The parameters used in

the diagram are determined by considering the

important variables used in the prediction of a

water waterspout. The values used in the triangle

diagram are daily values from the '' Plymouth

State Weather Center '‘and the vertical data of

ERA-Interim [8].

APPLICATION OF WATERSPOUT NOMOGRAM

The Skew - t diagram of the four cases that are found in the Kale - Demre station is available. The

values used in the Szilagyi Waterspout Nomogram are given in the table below. The data of the waterspouts

at different times in the Demre district of Antalya were analysed and evaluated individually in the Szilagyi

Waterspout Nomogram. The results are as follows.

9 March

2010

23 January

2009

16 December

2011

CONCLUSION

As you can see in Figure 13, only one of the four

waterspout cases in Kale - Demre region (09/03/2010)

has a very small value in Szilagyi Waterspout

Nomogram. The reason for this is that EL level cannot

be determined. However, when we build the Skew - t

diagram, the pressure levels can be plotted with more

frequent intervals and the result may vary. On the other

hand, in our examinations dated 23 January 2009 and 16

December 2011, the results were very close to the water

waterspout formation border. The results of the cases

dated December 20, 2011 are very close to the water

waterspout formation area due to the upper low and have

coordination with intersection of the mesocyclone water

waterspout area. These results suggest that the Szilagyi

Waterspout Index may be useful for predicting

waterspouts in the Mediterranean but should be

customized for the Antalya region. ERA- Interim data

can be used for analysis of extreme cases.

When the Triangle Diagram is examined, water

waterspouts in the Antalya region have been found to be

Fig 13 Szilagyi Waterspout Nomograms of all studied cases

around 65% and above relative humidity. Considering

Figure 7, the increase in the number of water

waterspouts is 70% RH or more. In addition, it is seen

that the sweat index value required for water

waterspout formation in Antalya region is at least 200.

On the other hand, it is seen that the water waterspout

is not formed when the wind speed of 850 mb in the

water waterspout cases between 2001 and 2012 is 5

knots lower.

a) b)

a)

b) c)

20 December

2011

In our study, in addition to the Szilagyi Waterspout Index examination, we tried to determine the conditions

of water waterspouts for Antalya with the Triangle Diagram which is created first time. In this diagram we have

formed with the water waterspouts that form in Antalya between the years of 2001 and 2012, there is a tendency

for the washer to concentrate on a certain area. The fact that the bottom right corner of the diagram is empty

indicates that the probability of water waterspout formation in this area is low.