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A numerical methodology based on the finite element and boundary element methods is presented for computing the noise radiated from an elastically supported structure subject to turbulent boundary layer excitation. The new algorithm utilizes the fluctuating wall pressure in order to define the excitation on the structural-acoustic system. The developments target wind noise prediction for the sound radiated by the side glass window of an automobile. The glass-seal assembly is modeled as a flexible plate mounted on an elastic foundation with stiffness and damping characteristics. Numerical predictions are compared successfully to wind tunnel test data. Parametric analyses are performed in order to identify the characteristics of the seal that can lead to noise reduction.