Smith 



Table 1 (Continued) Two-Dimensional Bodies for Which Flow- Field Charts 



Have Been Computed 



Body Type 



Thickness 

 Ratio t/c 



Body Profile 



NACA 65(1)-412 

 Airfoil 



Prolate spheroid 



0.06 



0.12 



0.18 



Double Cone 



0.06 



0.12 



0.18 



Double hemisphere 

 cylinder 



0.06 



0.12 



0.18 



-cz 



ZE> 



<EL 



£ 



3 

 ^ 



NUMERICAL INTEGRATION OF AN OSCILLATING FUNCTION 

 OCCURRING IN THE THEORY OF WATER WAVES 



Background 



The function under consideration is Havelock's source function, and it is our 

 purpose to report some progress on its rapid calculation. One part, correspond- 

 ing to the near -field term, involves evaluation of the complex exponential integral. 

 A good working formula that is valid for all Froude numbers has been developed 

 and is described in Ref. 1 in connection with hydrofoil theory. A second problem, 

 which amounts to evaluation of functions of the form 



/■ 



f(x) ^'% (X) dx 



(19) 



occurs in connection with the far-field term. 



342 



