CALCULATION OF HIGH REYNOLDS NUMBER FLOW FIELDS BY NUMERICAL METHODS.
Final rept. Jun 68-Sep 69,
SOUTHEASTERN MASSACHUSETTS UNIV NORTH DARTMOUTH
Pagination or Media Count:
A variety of numerical methods for the integration of the unsteady Navier-Stokes equations are studied. It is shown that some of the popular methods introduce artificial viscosity terms which, in the steady state approach, may be of the same order of magnitude as the real viscous terms. Consequently, two implicit difference schemes are introduced which do not show this drawback. One of these schemes, which seems to be new, has the advantage of speed and low storage requirements. However, this scheme turned out to be unstable in the case of the Navier-Stokes equations, although it produced excellent results in the case of the scalar Burgers equation. The second scheme, while not basically new, does not seem to have been previously applied. It has the drawback of requiring longer computation times and large storage capabilities. On the other hand, it remained stable and produced accurate results. Author
- Numerical Mathematics
- Fluid Mechanics