Segment V6.7: CFD Example

(Related to Textbook Section 6.10.1 - Numerical Methods)

Complex flows can be analyzed using the finite difference method in which the continuous variables are approximated by discrete values calculated at grid points. The governing partial differential equations are reduced to a set of algebraic equations which is solved by approximate numerical methods.

The flow past a circular cylinder at a Reynolds number of 10,000 was calculated using a finite difference method based on the Navier-Stokes equations. The O-shaped grid contained 100 by 400 grid points. Particle paths clearly show the Karmen vortex street. (Video courtesy of K. Kuwahara, Institute of Space and Astronautical Science, Japan)

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