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EMcLAW: An unsplit Godunov method for Maxwell ’s equations including polarization, metals, divergence control and AMR
Computer Physics Communications ( IF 3.309 ) Pub Date : 2020-03-13 , DOI: 10.1016/j.cpc.2020.107268
José A. Moreno; Eduardo Oliva; Pedro Velarde

A new 3D unsplit Godunov scheme for solving Maxwell’s equations with polarization is presented. The numerical scheme avoids the use of limiters by interpolating the field components that are continuous at cell boundaries, making the algorithm simpler and faster. The algorithm allows the use of metals and a wide variety of polarization models: Lorentz, non-linear as Kerr type or Havriliak–Negami dielectric model. Moreover, the algorithm can use Adaptive Mesh Refinement (AMR) to simulate systems with sharp steps in material properties as well as the propagation of short-wavelength pulses in great domains with a reasonable computational effort. With AMR the resulting method is faster in computer time compared to FDTD at the same accuracy. Furthermore, a divergence control algorithm has been implemented, although it is not needed in all the tests performed so far.
更新日期:2020-03-13

 

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