Page 361 - Computational Fluid Dynamics for Engineers

Problems 351

[22] Menter, F. R.: Zonal Two Equation k-uj Turbulence Models for Aerodynamic Flows,
AIAA Paper 93-2906, July 1993.
[23] Chin, V., Peters, D., Spaid, F., and McGhee, R.: Flowfield Measurements About a
Multi-Element Airfoil at High Reynolds Numbers, AIAA Paper 93-3137, July, 1993.
[24] AIAA CFD Drag Prediction Workshop, www.aiaa.org/tc/apa/dragpredworkshop/
dpw.html

Problems

11-1. Show that the eigenvalues of Eq. (11.3.1) are those given by Eq. (11.3.5)
11-2. Show that the Jacobian matrices of the convective flux E and F are given
by Eq. (11.4.8).
11-3. Show that the eigenvalues and eigenvectors of matrices Eq. (11.4.8) are
given by Eq. (11.4.9).
11-4. Use INS method and the computer program given in Appendix B to solve
the driven cavity problem for RL = 100. In this problem, the incompressible vis-
cous flow is driven by constant velocity u shown in Fig. PI 1.1. See the example
problem for other boundary conditions.

u • u
v • 0

u • 0
v • 0 Fig. P I 1.1. Driven cavity.