The SiTProS Model (Siam Tsunami Propagation Simulator) Annual National Symposium on Computational Science and Engineering (ANSCSE11) Held at Phuket, Thailand,

The The SiTProSSiTProS Model Model((SiSiam am TTsunami sunami ProPropagation pagation SSimulator)imulator)

Annual National Symposium on Computational Science and Engineering (ANSCSE11) Annual National Symposium on Computational Science and Engineering (ANSCSE11) Held at Phuket, Thailand, March 28-30, 2007Held at Phuket, Thailand, March 28-30, 2007

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.


Joint Regional Conference on Disaster Relief and Management – International Cooperation & Role of ICTJoint Regional Conference on Disaster Relief and Management – International Cooperation & Role of ICTHelpHelp atat Alexandria, Alexandria, Egypt Egypt during the period from 14 to 17 April 2007during the period from 14 to 17 April 2007


Joint Regional Conference on Disaster Relief and Management – International Cooperation & Role of ICTJoint Regional Conference on Disaster Relief and Management – International Cooperation & Role of ICTHeldHeld atat Alexandria, Alexandria, Egypt Egypt during the period from 14 to 17 April 2007during the period from 14 to 17 April 2007


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

Asia Modelling Symposium International ConferenceAsia Modelling Symposium International Conference Held at Phuket, Thailand, March 27-30, 2007Held at Phuket, Thailand, March 27-30, 2007






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 , , 122 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







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)





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





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





Observing data Computing data

Rendering Panel

Compu

ting

Region

Panel

Parameters and Output Setup Panel





1. Region selection

2. Update Region

3. Set Parameters

4. Earthquake Initial Condition (mouse drop(point) or drag(line)(Starting Point = Epicenter)

Follow the step by step 1, 2, 3, 4

Capture Animation

Time setup,Suggestion








Documents

The SiTProS Model (Siam Tsunami Propagation Simulator) Annual National Symposium on Computational Science and Engineering (ANSCSE11) Held at Phuket, Thailand,