Calculation and integration of pressure functions around contour

Once the coefficients, p2m and q2m, have been found, it is necessary to calculate the terms M0 and N0. These are calculated according to Equation ( 56 ), where the functions are integrated over one quadrant of the section in the unit circle plane.

 

 

( 56 )

 

The terms M(q), N(q) and W(q) are given in Equations ( 57 ):

 

 

( 57 )

 

The terms Fs, Fc and f2m are calculated from Equations ( 58 ):

 

( 58 )

 

Again the integral in the Fs term is evaluated by Laguerre quadrature using
Equation ( 59 ):

 

( 59 )

 

Additional terms A and B are calculated from Equation ( 60 ):

 

 

( 60 )