A New Numerical Scheme for Convection-Dominated Transport Equations.

• SAKAI Katsuhiro

  Faculty of Engineering, Saitama Institute of Technology

抄録

In order to obtain numerical solutions stable and accurate for convection-dominated transport equations, we propose a criterion in constructing numerical schemes for the convection term that roots of the characteristic equation for resulting difference equation have poles. By imposing this criterion on the difference coefficients for the convection term, we construct a new numerical scheme robust for convection-dominated equations.<BR>The present new scheme coincides with the QUICK scheme when the mesh Reynolds number (Rm) is 8/3, which is the critical value for its stability, while it approaches the second-order upwind scheme as Rm goes to infinity. Hence the present scheme interpolates a stable scheme between the QUICK scheme at Rm=8/3 and the second-order upwind scheme at Rm=infinity. This new scheme shows good numerical solutions for one-dimensional, convection-diffusion equations.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　Ｎｕｃｌｅａｒ　Ｓｃｉｅｎｃｅ　ａｎｄ　Ｔｅｃｈｎｏｌｏｇｙ（日本原子力学会英文論文誌）

  Ｊｏｕｒｎａｌ　ｏｆ　Ｎｕｃｌｅａｒ　Ｓｃｉｅｎｃｅ　ａｎｄ　Ｔｅｃｈｎｏｌｏｇｙ（日本原子力学会英文論文誌） 33 (1), 34-42, 1996

  一般社団法人 日本原子力学会

キーワード

• finite difference method
• computational fluid dynamics
• transport equation
• numerical stability
• numerical oscillations
• characteristic equation
• von Neumann theory
• LECUSSO scheme
• QUICK scheme
• LENS scheme

詳細情報

• CRID: 1390001204096208896
• NII論文ID: 10002073997
• NII書誌ID: AA00703720
• DOI: 10.3327/jnst.33.34
• COI: 1:CAS:528:DyaK28Xhtlems7k%3D
• ISSN: 18811248
• ISSN: 00223131
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可