Abstract
This paper presents a new boundary integral formulation for two-dimensional acoustic radiation in a uniform subsonic flow in which the Green’s function automatically incorporates the convective effect. The integral equation representation is derived in detail, and shown to incorporate the Sommerfeld radiation condition at infinity. The order of singularities in the integrals is also analyzed. The resulting integral equation involves the derivative of the velocity potential in the flow direction; thus an approximation is necessary to express this extra variable in terms of the potential and its normal derivative. Numerical results are included to verify the formulation.
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