component of water particle acceleration. The antisymmetrical variables include the vertical 

 component of velocity and the horizontal component of velocity and the horizontal 

 component of water particle acceleration. 



Dynamic Pressure 



The dynamic pressure also was calculated at a distance of 20.5 feet above the bottom. 

 The dimensionless form of this variable is: 



^D YH 

 2 



and is presented in Table IX of the sample output. The calculations are summarized in 

 Table of this report and presented in graphical form in Figure 37. Note that p^ is an even 

 function of 6 . 



Example 3— Free Surface Boundary Condition Errors 



The free surface boundary condition errors and the reason for examining and tabulating 

 these errors have been described in Section II. To illustrate the use of tables to calculate the 

 free surface boundary condition errors, both the distributed errors on the free surface and 

 the root-mean-square and maximum errors as gross measures of these errors will be 

 presented. The distributed kinematic and dynamic free surface boundary condition errors 

 are presented in Table X, Items 1 through 4 of the sample output and the root-mean-square 

 errors and maximum errors are presented in Table XI, Items 10 through 13. 



Distributed Boundary Condition Errors 



The calculations of the distributed boundary condition errors are presented in Table P 

 and Figure 38. The kinematic free surface boundary condition errors as defined and 

 presented in the wave tables (Table X, Items 1 and 2) are in dimensionless form. However, 

 the dynamic free surface boundary condition errors (Table X, Items 3 and 4 of wave tables) 

 are dimensional as illustrated in the sample calculations accompanying Table P. The 

 calculations of the root -mean -square (RMS) and maximum kinematic dynamic free surface 

 boundary condition errors are presented below. 



Overall Kinematic Free Surface Boundary Condition Errors 



The RMS kinematic free surface boundary condition errors are presented as Item 10 in 

 Table XI, i.e., 



TP- = 0.0475 (Linear Wave Theory) 



e 1 ^ = 0.0 (Stream-function Wave Theory) 



78 



