NONSINGULAR DIRECT FORMULATION OF BOUNDARY INTEGRAL-EQUATIONS FOR POTENTIAL FLOWS

This paper presents a general direct integral formulation for potentia l flows. The singularities of Green's functions are desingularized the oretically, using a subtracting and adding back technique, so that Gau ssian quadrature or any other numerical integration methods can be app lied directly to evaluate all the integrals without any difficulty. Wh en high-order quadrature formulas are applied globally, the number of unknowns can be reduced. Interpolation functions are not necessary for unknown variables in the present paper. Therefore, the present method is much simpler and more efficient than the conventional one. Several numerical examples are calculated and compared satisfactorily with an alytical solutions or published results. (C) 1998 John Wiley & Sons, L td.