Optimized Locally Exact Numerical Scheme Based on Finite Variable Difference Method and Characteristic Polynomial Analysis Method. In Case of Convection-Diffusion Equation without Source Terms.

• SAKAI Katsuhiro

  Department of Electrical Engineering, Saitama Institute of Technology

Bibliographic Information

Other Title

• In Case of Convection-Diffusion Equation without Source /Terms

Abstract

A new method of Finite Variable Difference Method (FVDM) is presented. The feature of this method exists in a procedure to determine the finite spatial difference, in which the total deviation of the numerical solution from the exact solution is minimized, under the condition that roots of the resulting characteristic equation are always non-negative to insure numerical stability.<BR>The optimum spatial difference of the LECUSSO scheme for the linear convection-diffusion equation is numerically derived in terms of mesh Reynolds numbers. This optimization highly improves the numerical accuracy of the LECUSSO scheme for linear convection-diffusion equations without numerical oscillations at sufficiently large mesh Reynolds numbers of up to 1, 000.

Journal

• Journal of Nuclear Science and Technology

  Journal of Nuclear Science and Technology 32 (1), 42-49, 1995

  Atomic Energy Society of Japan

Keywords

• numerical analysis
• finite difference method
• computational fluid dynamics
• transport equation
• numerical stability
• numerical oscillations
• numerical schemes
• numerical solution
• locally exact numerical scheme
• characteristic equation
• LECUSSO scheme
• QUICK scheme
• LENS scheme

Details

• CRID: 1390001204093954048
• NII Article ID: 10002071888
• NII Book ID: AA00703720
• DOI: 10.3327/jnst.32.42
• COI: 1:CAS:528:DyaK2MXjt1KlsL0%3D
• ISSN: 18811248
• ISSN: 00223131
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed