Accurate Fourier Methods for Virtual Electromagnetics Testing

摘要

The objectives of this effort were two-fold: (1) parallelization of existing high-order surface-scattering codes for acoustic scattering from smooth scatterers; and (2) initial development of the geometry capability, with application to description of smooth and singular surfaces. The parallelization of existing high-order codes was completed as proposed. The parallel performance of the code is demonstrated in Table 1: nearly perfect scaling is observed. Parallelization of other solvers also was achieved during this period, including the author's high-order penetrable scattering solver. An overall method of high-order geometry description was produced which, based on newly introduced methods for high-order approximation of non-periodic functions by Fourier series via a continuation approach, allows the production of highly accurate representation of large portions of air vehicles with very high accuracy. The author demonstrates this in Figure 1, which shows the forward portion of an F-15 aircraft. The figure shows the original triangulation (in white), displays of four Fourier series describing portions of the aircraft (bottom), and a display of the four portions superimposed, which produces explicit Fourier series representations for the vehicle.