Stability analysis of space-time finite integration schemes

• Tetsuji Matsuo ^[1] ; o, Jun Kawahara ^[1] ; Tomohiro Shimoi ^[1] ; Takeshi Mifune ^[1]
  1. [1] Kyoto University

     Kyoto University

     Kamigyō-ku, Japón

     
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 34, Nº 5 (Special Issue: IGTE 2014), 2015, págs. 1609-1622
• Idioma: inglés
• Enlaces
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• Resumen

  • Purpose – The purpose of this paper is to examine the numerical stability of a space-time finite integration (FI) method. A symmetric correction is proposed to give an accurate constitutive relation at the subgrid connections.

    Design/methodology/approach – A scheme for the numerical stability analysis of the space-time FI method is presented, where the growth rate of instability is evaluated by a numerical eigenvalue analysis formulated from an explicit time-marching scheme.

    Findings – The 3D and 4D subgrid schemes using the space-time FI method are conditionally stable, where a symmetric correction does not induce numerical instability. The staircase-type 4D space-time subgrid allows a larger time-step than the straight-type subgrid.

    Originality/value – The numerical stability of space-time FI method is proven by an eigenvalue analysis, which provides 3D and 4D stable subgrid schemes.