Numerical simulation of Tollmien-Schlichting waves by use of a modified vortex particle-in-cell method
Abstract
Tollmien-Schlichting (TS) wave motion was numerically simulated by a modified vortex-particle-in-cell method, in which a relative vorticity strength concept is introduced to define a continuous vorticity for better simulation of TS waves. The method is based on the exact Navier-Stokes equation for the disturbance, rather than its linearized version: therefore it may be used, in principle, to simulate the whole laminar-turbulent transition process from the initial unstability in the final breakdown. In the small disturbance region, the predicted wave velocity of TS waves corresponds to the eigenfunction of the Orr-Sommerfeld equation used to specify the initial disturbance distribution.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- January 1985
- Bibcode:
- 1985STIN...8811079C
- Keywords:
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- Computerized Simulation;
- Particle In Cell Technique;
- Tollmien-Schlichting Waves;
- Vortices;
- Flow Stability;
- Navier-Stokes Equation;
- Orr-Sommerfeld Equations;
- Velocity Distribution;
- Vorticity;
- Fluid Mechanics and Heat Transfer