High-Accuracy Analysis of Three-Dimensional Advection Equation Using Finite Difference Methods

• KAWAMOTO Shinji

  Production and Technical Department, Nippon Sheet Glass Co., Ltd.

• IWASE Hirohiko

  Departement of Mechanical Engineering, Keio University

• TANAHASHI Takahiko

  Departement of Mechanical Engineering, Keio University

抄録

Instability of numerical flow analysis at high Reynolds number is caused by spurious high-wave-number oscillations which are produced by the convection term of the Navier-Stokes equation. To correct the instability, some finite difference methods for the convection term have been proposed, such as the QUICK method, the QUICKEST method and the third-order upwind difference method. In this paper, the stability and accuracy of typical finite difference methods, i.e., the 2nd-order centered difference method, the QUICK method, the 3rd-order upwind difference method, the QUICKEST method, the 4th-order centered difference method, the 5th-order upwind difference method and the 6th-order centered difference method, are evaluated by computing the three-dimensional advection equation, i.e., the rotating sphere problem. The 3rd-order Adams-Bashforth method is mainly applied as a time integration method.

収録刊行物

• JSME international journal. Ser. 2, Fluids engineering, heat transfer, power, combustion, thermophysical properties

  JSME international journal. Ser. 2, Fluids engineering, heat transfer, power, combustion, thermophysical properties 35 (4), 536-542, 1992-11-15

  一般社団法人日本機械学会

キーワード

• Computational Fluid Dynamics
• Numerical Analysis
• Finite Difference Method
• Rotating Cone
• Rotating Sphere
• Advection Equation
• Three-Dimensional Flow

詳細情報

• CRID: 1570291227224077056
• NII論文ID: 110002492687
• NII書誌ID: AA10680596
• ISSN: 09148817
• 本文言語コード: en
• データソース種別:
  • CiNii Articles