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New higher-order upwind scheme for incompressible Navier-Stokes equations

  • Tetuya Kawamura
  • Hideo Takami
  • Kunio Kuwahara
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 218)

Abstract

A new upwind scheme for computation of incompressible flow has been developed. It was found that this scheme works well at high Reynolds number even using limited number of mesh points.

By using this scheme, three different types of flows were computed. At first, a cavity flow was simulated at Re=5000, with 40×40 grid, and the results agree very well with the computation with 257×257 grid by Ghia et al.

Secondly, a flow past a circular cylinder was simulated. The sharp drag reduction in the critical Reynolds number range is clearly obtained.

Thirdly, a three-dimensional turbulent flow in a duct was simulated and large structures in the turbulent flow are captured by this scheme without any turbulence model. Agreement of statistical values with experiments and computations by Moin et al. are excellent. Moreover the transition to turbulence is well simulated.

From these results, we can conclude that this scheme is very widely applicable and robust and easy to program for any type of incompressible flow computations.

Keywords

Reynolds Number Large Eddy Simulation Circular Cylinder High Reynolds Number Mesh Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1).
    U. Ghia, K. N. Ghia and C. T. Shin; 1982 High-Re Solutions for Incompressible Flow Using the Navier-Stoke Equations and a Multigrid Method. J. comput. Phys. vol.48 pp.387–411CrossRefGoogle Scholar
  2. 2).
    J. W. Deardorff; 1970 A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers. J. Fluid Mech. vol.41, pp.453–480.Google Scholar
  3. 3).
    P. Moin and J. Kim; 1982 Numerical investigation of turbulent channel flow. J. Fluid Mech. vol.118, pp.341–377.Google Scholar
  4. 4).
    K. Horiuti and K. Kuwahara; 1982 Study of Incompressible Turbulent Channel Flow by Large Eddy Simulation. Proc. 8th ICNMFD (Springer-Verlag)Google Scholar
  5. 5).
    J. Laufer; 1950 Investigation of turbulent flow in a two-dimensional channel. NACA TN 2123.Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Tetuya Kawamura
    • 1
  • Hideo Takami
    • 1
  • Kunio Kuwahara
    • 2
  1. 1.Department of Applied PhysicsUniversity of TokyoBunkyo-ku, TokyoJapan
  2. 2.The Institute of Space and Astronautical ScienceMeguro-ku, TokyoJapan

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