학술논문

A TF/SF Plane Wave Source Condition for the Constraint-Preserving FVTD Method
Document Type
Periodical
Source
IEEE Journal on Multiscale and Multiphysics Computational Techniques IEEE J. Multiscale Multiphys. Comput. Tech. Multiscale and Multiphysics Computational Techniques, IEEE Journal on. 8:108-122 2023
Subject
Engineered Materials, Dielectrics and Plasmas
Fields, Waves and Electromagnetics
Components, Circuits, Devices and Systems
Computing and Processing
Time-domain analysis
Finite difference methods
Maxwell equations
Mathematical models
Spatial resolution
Dispersion
Finite element analysis
Boundary conditions
Method of moments
discontinuous galerkin method
dispersion analysis
finite volume methods
plane wave source
total-field/scattered-field technique
Language
ISSN
2379-8815
2379-8793
Abstract
A low-leakage total-field/scattered-field plane wave source condition capable of propagating at any incident angle is developed for a newly-developed DGTD-based FVTD method. This constraint-preserving FVTD method provides solutions up to any order of accuracy, preserves the divergence constraints imposed by Gauss’ laws, and may be easily adapted to non-conformal and unstructured meshes. In order to implement the proposed plane wave source condition, several of the steps within the updating loop of the FVTD model, including the Riemann solvers and update equations, must be adapted to ensure the field variables always remain consistent (are consistently designated as either total or scattered fields). The proposed total-field/scattered-field technique is shown to provide numerical leakage errors at the level of machine precision (−300 dB) for second-, third-, and fourth-order constraint-preserving FVTD schemes.