A split-step-scheme-based precise integration time domain method for solving wave equation

• Qi Liu ^[2] ; Xikui Ma ^[2] ; Zhongming Bai ^[1] ; Xu Zhuansun ^[2]
  1. [1] Northwest University for Nationalities

     Northwest University for Nationalities

     China

     
  2. [2] Xi’an Jiaotong University
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 33, Nº 1-2 (Special Issue: ICEF 2012), 2014, págs. 85-94
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • Purpose – This paper aims to present a modified precise integration time domain (PITD) method for the numerical solution of 2D scalar wave equation.

    Design/methodology/approach – The split step (SS) scheme is applied to factorize the conventional PITD calculation into two sub-steps procedures and then field components can be updated along one spatial direction only in each sub-step. The perfectly matched layer (PML) absorber is extended to this method for modeling open region problems by using the stretched coordinate approach.

    Findings – It is shown that this method requires less computation time and storage space in comparison with the conventional PITD method, yet maintains the numerical stability despite using large time steps.

    Research limitations/implications – The WE-PITD method requires the divergence free region, which may be a limit on its usage. Hence, there is a challenge of using this technique in the 3D problems.

    Originality/value – Based on the SS scheme, the PITD method is used to solve the scale wave equation rather than Maxwell's equations, leading to a significant reduction in the computation time and memory usage.