Siam Tsunami Propagation Simulator Model (SiTProS) Dr.Wattana Kanbua Marine Meteorological Center...

Siam Tsunami Propagation Simulator ModelSiam Tsunami Propagation Simulator Model(SiTProS)(SiTProS)

Dr.Wattana KanbuaDr.Wattana Kanbua

Marine Meteorological CenterMarine Meteorological CenterMeteorological Observation and Warning BureauMeteorological Observation and Warning Bureau

Thai Meteorological DepartmentThai Meteorological Department

Mr.Somporn Chuai-AreeMr.Somporn Chuai-Aree

Department of Mathematics and Computer Department of Mathematics and Computer Science, Faculty of Science and Technology, Science, Faculty of Science and Technology,

Prince of Songkla University, Pattani Campus.Prince of Songkla University, Pattani Campus.

TThe Certificate Program in Tsunami Science and Preparednesshe Certificate Program in Tsunami Science and Preparedness..

HeldHeld at the University of Washington in Seattle, Washington (USA) at the University of Washington in Seattle, Washington (USA) , , DDuring July 21- August 2, 2007.uring July 21- August 2, 2007.

The SiTProS ModelThe SiTProS Model and and Numerical SimulationNumerical Simulation



SiTProS ModelSiTProS Model – shallow water equation– shallow water equationSiTProS ModelSiTProS Model – shallow water equation– shallow water equation



SiTProS Model SiTProS Model – 2D grid system– 2D grid systemSiTProS Model SiTProS Model – 2D grid system– 2D grid system



SiTProS Model SiTProS Model – approximation (model 1)– approximation (model 1)SiTProS Model SiTProS Model – approximation (model 1)– approximation (model 1)



SiTProS Model SiTProS Model - - CalculationCalculationSiTProS Model SiTProS Model - - CalculationCalculation

From where u(n+1) may be calculated as:

From where u(n+1) may be calculated as:

1 1, , , 1, , 1, , 1 , , 12

2 2 2

2 2 2

( ) ( ) ( )

n n n n n n n n ni j i j i j i j i j i j i j i j i jU U U U U U U U U

at x y

1 2 1, 1, 1, , 1 , 1 , , ,4 2n n n n n n n ni j i j i j i j i j i j i j i jU C U U U U U U U

.;

a tC h x y

h

Substitute all terms in the wave equation, finally you get the equation 4 when C and h are given below of this page. This equation is for fully wave equation, but the calculation is slower than the previous model of our tsunami generation. The first

program, we ignored the term -4U(n,i,j) and +2U(n,i,j)



Initial Condition

Initial Condition


1, 0,i jU Ocean

1, 0,i jU Land

1, 0 ,i jU f fault

1, 0 ,

1, ,

,

0,

i j i j

i j i j

U f r R

U r R

R

values at n=1 as the initial conditions

What are the values at n=0? We apply a zero-gradient initial condition

, this means

22 1 1 1, 1, 1, , 1

1 1 1, 1 , ,

(2

4 )

i j i j i j i j

i j i j i j

CU U U U

U U U

substitute this into (4), then we get



Boundary Condition

Boundary Condition

4 boundaries are free (open).

, 1 , 1n ni j i jU U

,0 ,2n ni iU U

0, 2,n nj jU U 1, 1,

n ni j i jU U

1 2, 1, , 1 , 1

1, , ,

1; (2

4 ) 2 ;

n n n ni j i j i j i j

n n ni j i j i j

i U C U U U

U U U

1 2

, 1, , 1 , 1

1, , ,

1; (2

4 ) 2 ;


n n ni j i j i j

i i U C U U U

U U U

1 2

, 1, 1, , 1

1, , ,

1; ( 2

4 ) 2 ;


n n ni j i j i j

j U C U U U

U U U

1 2

, 1, 1, , 1

1, , ,

1; ( 2

4 ) 2 ;


n n ni j i j i j

j j U C U U U

U U U



Algorithm for Wave PropagationAlgorithm for Wave PropagationAlgorithm for Wave PropagationAlgorithm for Wave Propagation

how does this algorithm work? (to save memory)

U[new] U[old] U[new]

1 2 1, 1, 1, , 1 , 1 , , ,4 2n n n n n n n ni j i j i j i j i j i j i j i jU C U U U U U U U

1,ni jU can be assigned to

1,ni jU

for next iteration before calculation.



SiTProS ModelSiTProS Model – approximation (model 2)– approximation (model 2)SiTProS ModelSiTProS Model – approximation (model 2)– approximation (model 2)

(minute)


SiTProS Model SiTProS Model – computing grid– computing gridSiTProS Model SiTProS Model – computing grid– computing grid



SiTProS ModelSiTProS Model – fault parameters– fault parametersSiTProS ModelSiTProS Model – fault parameters– fault parameters



SiTProS ModelSiTProS Model - Algorithm- AlgorithmSiTProS ModelSiTProS Model - Algorithm- Algorithm



Results – tsunami propagationResults – tsunami propagationResults – tsunami propagationResults – tsunami propagation


Results – tsunami propagationResults – tsunami propagationResults – tsunami propagationResults – tsunami propagation



ConclusionConclusionConclusionConclusion

This paper has introduced the tsunami propagation simulator model which calculated trends to check the model could predict the tsunami arrival times. We have already compared the result of the model with observation time in the case of the December 26, 2004. In general, it was found that the model can predict quite well. The model is already implemented for Tsunami Warning Systems to provide a first estimate of tsunami arrival time.

The SiTProS model has therefore been developed by ourselves, using a fast algorithm for a quick estimate of the tsunami front propagation. We have applied this model to the 26th December event. It shows a very satisfied prediction of the time of the main events.

The trial version of software is available at http://www.schuai.net/SiTProS.

This paper has introduced the tsunami propagation simulator model which calculated trends to check the model could predict the tsunami arrival times. We have already compared the result of the model with observation time in the case of the December 26, 2004. In general, it was found that the model can predict quite well. The model is already implemented for Tsunami Warning Systems to provide a first estimate of tsunami arrival time.

The SiTProS model has therefore been developed by ourselves, using a fast algorithm for a quick estimate of the tsunami front propagation. We have applied this model to the 26th December event. It shows a very satisfied prediction of the time of the main events.

The trial version of software is available at http://www.schuai.net/SiTProS.



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Siam Tsunami Propagation Simulator Model (SiTProS) Dr.Wattana Kanbua Marine Meteorological Center...

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