PART II: COMPUTATIONAL TECHNIQUES 



Equations of Motion 



8. The hydrodynamics of the nuirerical model WIFM are derived from the 

 Navier-Stokes equations in a Cartesian coorcinate system (Figure 6). The 



BENCHMARK DATUM 



Figure 6. Coordinate system for problem formulation 



long wave approxiirations of small vertical accelerations and a homogenous 

 fluid yield vertically integrated two-dimensional equations of continuity and 

 momentum: 



Continuity 



^ -^ Tx ^'^^^ ^ Ty (^-^^ = ^ 



(1) 



Momentum 







;)u , 3u 



iF ^ " 3 X 



3l! 



+ V -• — 

 3y 



f-^s^ 





- e 



2 2 

 3 u 3 u 



3 2 3 2 

 X y 



w \ ^ 5" / 2 ^ 2, 



1/2 



C^d 



+ F = 



(2) 



12 



, -w:nJ.<'4>.t.>Uia^(>UfM.^».u 



