APPENDIX A: NOTATION 



a,b,c Regional constants derived from stretching transformation of 

 coordinate system 



A,B Coefficient matrices 



C Chezy friction coefficient 



C Wind drag coefficient 



d Total depth of water column d = n - h 



f Coriolis parameter 



F ,F Terms representing external forces such as wind stress 

 X y 



g Acceleration due to gravity 



h Local ground (cell) elevation above datum 



k Integer time-step counter 



n Dimensionaless parameter used to characterize stability 

 criterion 



R Rate of water volume change in the system (for example 

 through rairfall or evaporation) 



t Time 



u Vertically averaged water velocity in x-direction 



U Matrix consisting of n, u, and v as functions of x, y and t 



V Vertically averaged water velocity in y-direction 



V Largest velocity encountered at a computational cell 

 W 10-metre wind speed 



x,y Cartesian coordinate system axes names 



ax Smaller value of Ax and uy 



At Time-step 



Ax, Ay Length of computational cell in x- and y-directions 



£ Eddy viscosity coefficient 



n Water-surface elevation above datum 



n Hydrostatic water elevation due to atmospheric pressure 

 differences 



X ,X ,S ,S Two-dimensional differences operators 

 X y X y 



p Air density 



T Surface stress of wind 



* Intermediate time-step level 



3 Positive integer representing computational grid line 



Al 



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