1 / 25

Numerical Simulation of N-S equations in Cylindrical Coordinate

Numerical Simulation of N-S equations in Cylindrical Coordinate. Kyongmin Yeo. Chung & Sung 2005. Marcus & Lee 1998. Introduction. Flows in Annular pipe Basic Instability pattern in geophysical flows Engineering Application Centrifugal Instability Couette flow

sebille
Télécharger la présentation

Numerical Simulation of N-S equations in Cylindrical Coordinate

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Numerical Simulation of N-S equations in Cylindrical Coordinate Kyongmin Yeo

  2. Chung & Sung 2005 Marcus & Lee 1998 Introduction • Flows in Annular pipe • Basic Instability pattern in geophysical flows • Engineering Application • Centrifugal Instability • Couette flow • Flow around cylinder

  3. Governing Equation • Continuity equation • Momentum equation

  4. Spatial Discretization • Spectral Method in θ and z directions • Spectral Element Method in r direction

  5. Discretized equations

  6. Temporal Discretization: Nonlinear step • Higher-order dual splitting scheme • Nonlinear step

  7. Pressure step • Galerkin approximation

  8. Pressure Step • Pressure boundary condition • Velocity correction

  9. Viscous step • Galerkin approximation

  10. cpu 1 2 3 … cpu 1 2 3 … Fourier Transform • 3/2 rule is used for dealiasing • 2-dimensional backward transform • complex to complex transform in θ direction • complex to real transform in z-direction

  11. Computation Mesh

  12. Centrifugal Couette Flow

  13. Taylor-Couette Instability

  14. Azimuthal Vorticity at Re=500

  15. Azimuthal Vorticity

  16. Azimuthal Vorticity at Re=1000

  17. Azimuthal Vorticity

  18. Couette flow with Moving wall

  19. Re = 400

  20. Oscillating Wall Stokes Layer

  21. Z - Vorticity at Re = 400 & 800

  22. Flow around a cylinder Stokes flow solution

  23. Flow around a cylinder at Re = 10

  24. Flow around a cylinder at Re = 200

  25. Thank you!

More Related