Abstract
A generalized conformal time-domain method with adjustable spectral accuracy is introduced in this paper for the consistent analysis of large-scale electromagnetic compatibility problems. The novel 3-D hybrid schemes blend a stencil-optimized finite-volume time-domain and a multimodal Fourier-Chebyshev pseudo-spectral time-domain algorithm that split the overall space into smaller and flexible areas. A key asset is that both techniques are updated independently and interconnected by robust boundary conditions. Also, combining a family of spatial derivative approximators with controllable precision in general curvilinear coordinates, the proposed method launches a conformal field flux formulation to derive electromagnetic quantities in regions with fine details. For advanced grid reliability at dissimilar media interfaces, dispersion-reduced adaptive operators, which assign the proper weights to each spatial increment, are developed. So, the resulting discretization yields highly rigorous and computationally affordable simulations, devoid of lattice errors. Numerical results, addressing detailed comparisons of various realistic applications with reference or measurement data verify our methodology and reveal its significant applicability.
Highlights
The development of powerful time-domain solvers for contemporary electromagnetic compatibility (EMC) applications is solidly related to the correct representation of their size by the suitable spatial sampling rates [1,2,3,4,5,6,7,8,9,10]
The principal part of the proposed methodology lies on the hybridization of generalized finite-volume time-domain (FVTD) and pseudospectral time-domain (PSTD) schemes
The new method is verified by means of several real-world large-scale EMC applications, whose unbounded domain is truncated by a suitably adjusted 8-cell perfectly matched layer (PML) [33, 22] with complex frequency shifting attributes
Summary
The development of powerful time-domain solvers for contemporary electromagnetic compatibility (EMC) applications is solidly related to the correct representation of their size by the suitable spatial sampling rates [1,2,3,4,5,6,7,8,9,10] Considering that their overall size should be frequently reconfigured to comply with modern standards and several prototypes must be devised prior to the selection of the final design parameters, the use of rigorous discrete models seems a very attractive means to restrict high fabrication costs. Established on a robust decomposition concept, the novel multimodal formulation launches a family of finite-volume operators for abrupt field variation and a Fourier-Chebyshev interpolation for periodic details To this aim, spatial derivatives are evaluated via advanced operators of adjustable accuracy order to establish a conformal flux framework for all electromagnetic quantities under study. The proposed schemes, except their theoretical verification, are successfully applied to complex arrangements like large-scale planar microwave devices, antennas, waveguide structures, and anechoic/reverberation test facilities
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