Time-explicit numerical methods for Maxwell’s equation in second-order form

作者：

Highlights：

• Postulates numerical schemes for second-order Maxwell’s equation on unstructured grids.

• The flux-difference residual distribution scheme is compact in stencil.

• All the three numerical schemes are explicit in time-marching procedure.

• Forms hybrid schemes with finite-volume method to implement boundary condition.

• The advantages include efficiency in computational time, accuracy and simplicity in implementation.

摘要

•Postulates numerical schemes for second-order Maxwell’s equation on unstructured grids.•The flux-difference residual distribution scheme is compact in stencil.•All the three numerical schemes are explicit in time-marching procedure.•Forms hybrid schemes with finite-volume method to implement boundary condition.•The advantages include efficiency in computational time, accuracy and simplicity in implementation.

论文关键词：Second-order Maxwell’s equation,Finite-volume method,Residual distribution (RD) method,Flux-difference RD approach,Gradient flux residual method,Electromagnetic waveguide and scattering

论文评审过程：Received 20 September 2019, Revised 12 August 2020, Accepted 5 September 2020, Available online 6 October 2020, Version of Record 6 October 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125669