Accelerated IEM for the backscattering of the 3-D time-varying overturning wave crest model

An accelerated Integral Equation Method (IEM) for the backscattering of the 3-D time-varying overturning wave crest model is presented in this paper. The investigation of the backscattering of the 3-D time-varying overturning wave crest model is very meaningful for the study of sea spikes. For the IEM, the governing equations for the tangential surface fields on a dielectric surface can be written as the sum of the standard Kirchhoff surface field and a complementary surface field. In order to calculate the tangential surface fields of a triangle, the related standard Kirchhoff surface field and complementary surface field will be computed, where the complementary surface field is the sum of the complementary surface field from all the other lighted triangles, which is the most time-consuming part. Therefore, the accelerated IEM aimed at decreasing the computing time of the complementary surface field by decreasing the number of triangles which is responsible for the complementary surface field. Compared with the traditional IEM, the performing time of the accelerated IEM has been greatly decreased.