Implementation of corner-free truncation strategy in DGTD method

Abstract In this paper, the corner-free truncation (CFT) strategy for analyzing certain geometries is proposed within the framework of Discontinuous Galerkin Time Domain. The proposed algorithm used scalene ellipsoid boundary, and it is universal for any ellipsoid (sphere, spheroid, and scalene ellipsoid). The advantage of this proposed algorithm is that it allows semi-principal axes (a, b, c) that can be different. Compared with spheroid or sphere, scalene ellipsoid can be easily adjusted to match certain geometries and reduces computational cost. The accuracy and efficiency of the proposed CFT strategy is verified by numerical examples.

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