By Biringen S., Chow C.-Y.
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Extra info for An Introduction to Computational Methods in Fluids
5) to eliminate fi . 2). 1). 9).
7 was based may be improved. In that analysis we subdivide a vortex sheet into small spanwise intervals and replace each one by a point vortex at the center. Since the sheet strength γ is not uniform, the vortices within each subdivision will generally induce a velocity at its center. Thus, the discrete vortex placed there will move under its own influence. This motion was not taken into account, although its magnitude may be small compared with the sum of those induced there by other point vortices.
4. 1 for free-falling bodies. The initial speed is still kept at 50 m/s. 5 with horizontal wind speeds of 20, 0, and −20 m/s, respectively. 4. 1) shows that for the 1-cm-diameter projectile the optimum shooting angles are all below 45◦ . The optimum angle in a favorable wind is the highest, and that in an adverse wind is the lowest among the three. The result can be explained as follows. Shooting a projectile in a vacuum at a 45◦ angle gives a range longer than the one that resulted from a lower shooting angle, and the flight time of the projectile in the former is longer than that in the latter case.
An Introduction to Computational Methods in Fluids by Biringen S., Chow C.-Y.