Stability analysis of Combined Compact Difference method

DOI

Bibliographic Information

Other Title
  • 結合コンパクト差分法の安定性解析
  • Stability of the fully discrete algorithm with time marching scheme
  • 時間発展スキームとの完全に離散化したアルゴリズムの安定性

Abstract

High resolution calculation method are needed for numerical calculations of waves of a variety of length scales such as turbulent flows and aeroacoustic noise.Lele proposed compact difference methods as a high resolution difference methods.There are many discussion for characteristic and stability of compact difference methods.Chu&Fan and Nihei&Ishii proposes combined compact difference methods that are higher resolution than compact difference methods.In this study, we make advection equation fully discrete by using combined compact difference method for the spacial differentiation and using various time marching schemes for the temporal differentiation.We analyze those stability. There are many definitions of stability, and we consider Lyapunov and asymptotically stable in this study.

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Keywords

Details 詳細情報について

  • CRID
    1390001205592999808
  • NII Article ID
    130005020330
  • DOI
    10.11345/japannctam.55.0.172.0
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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