A Comparison of Two Integral Equation Methods for High Subsonic Lifting Flows

1975 ◽  
Vol 26 (1) ◽  
pp. 56-58 ◽  
Author(s):  
D Nixon
Keyword(s):  
Integral Equation ◽  
Unique Solution ◽  
Subsonic Flow ◽  
Integral Equation Methods ◽  
High Subsonic Flow

SummaryA comparison is made of two recently published integral equation methods for calculating the high subsonic flow around lifting and non-lifting aerofoils. It is shown that one method leads to a non-unique solution.

scholarly journals Integral equation methods with unique solution for all wavenumbers applied to acoustic radiation

2010 ◽  
pp. 619-636
Author(s):  
Antoine Lavie ◽  
Alexandre Leblanc
Keyword(s):  
Integral Equation ◽  
Boundary Element Method ◽  
Unique Solution ◽  
Characteristic Frequency ◽  
Acoustic Radiation ◽  
Three Dimensional ◽  
Infinite Cylinder ◽  
Integral Equation Methods ◽  
Time Harmonic ◽  
Small Imaginary Part

The acoustic exterior Neumann problem is solved using an easy process based upon the boundary element method and able to eliminate effects of irregular frequencies in time harmonic domain. This technique is performed as follows: (i) two computations are done around the characteristic frequency, decreased and increased by a small imaginary part; (ii) average between pressures at these two frequencies ensures unique solution for all wavenumbers. This method is numerically tested for an infinite cylinder, an axisymmetric cylinder, a sphere and a three-dimensional cat’s eye structure. This work highlights ease and efficiency of the technique under consideration to remove the irregular frequencies effects.

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