An Unconditionally Stable Conformal LOD-FDTD Method For Curved PEC Objects and Its Application to EMC Problems

TL;DR

This paper introduces an unconditionally stable conformal LOD-FDTD method for curved PEC objects that improves accuracy and efficiency in electromagnetic simulations, overcoming CFL constraints and staircase errors.

Contribution

The proposed CLOD-FDTD method achieves unconditional stability and enhanced accuracy by considering partially filled cells, outperforming traditional FDTD and LOD-FDTD methods.

Findings

Significantly improved accuracy over traditional methods.

Unconditional stability allows larger time steps.

Reduced CPU time without sacrificing accuracy.

Abstract

The traditional finite-difference time-domain (FDTD) method is constrained by the Courant-Friedrich-Levy (CFL) condition and suffers from the notorious staircase error in electromagnetic simulations. This paper proposes a three-dimensional conformal locally-one-dimensional FDTD (CLOD-FDTD) method to address the two issues for modeling perfectly electrical conducting (PEC) objects. By considering the partially filled cells, the proposed CLOD-FDTD method can significantly improve the accuracy compared with the traditional LOD-FDTD method and the FDTD method. At the same time, the proposed method preserves unconditional stability, which is analyzed and numerically validated using the Von-Neuman method. Significant gains in Central Processing Unit (CPU) time are achieved by using large time steps without sacrificing accuracy. Two numerical examples include a PEC cylinder and a missile are used to verify its accuracy and efficiency with different meshes and time steps. It can be found from these examples, the CLOD-FDTD method show better accuracy and can improve the efficiency compared with those of the traditional FDTD method and the traditional LOD-FDTD method.