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We present an accelerated and hardware parallelized integral-equation solverfor the problem of acoustic scattering by a two-dimensional surface inthree-dimensional space. The approach is based, in part, on the novelInterpolated Factored Green Function acceleration method (IFGF) that, withoutrecourse to the Fast Fourier Transform (FFT), evaluates the action of Greenfunction-based integral operators for an $N$-point surface discretization at acomplexity of $\Ord(N\log N)$ operations instead of the $\Ord(N^2)$ costassociated with nonaccelerated methods. The IFGF algorithm exploits the slowvariations of factored Green functions to enable the fast evaluation of fieldsgenerated by groups of sources on the basis of a recursive interpolationscheme. In the proposed approach, the IFGF method is used to account for thevast majority of the computations, while, for the relatively few singular,nearly-singular and neighboring non-singular integral operator evaluations, ahigh-order rectangular-polar quadrature approach is employed instead. Since theoverall approach does not rely on the FFT, it is amenable to efficient shared-and distributed-memory parallelization; this paper demonstrates such acapability by means of an OpenMP parallel implementation of the method. Avariety of numerical examples presented in this paper demonstrate that theproposed methods enable the efficient solution of large problems over complexgeometries on small parallel hardware infrastructures. Numerical examplesinclude acoustic scattering by a sphere of up to $128$ wavelengths, an$80$-wavelength submarine, and a turbofan nacelle that is more than $80$wavelengths in size, requiring, on a 28-core computer, computing times of theorder of a few minutes per iteration and a few tens of iterations of the GMRESiterative solver.

IFGF-accelerated integral equation solvers for acoustic scattering