Computational Fluid Dynamics Mock Test 8

1. In the region where \(\tilde{\phi_c}<0\, and\, \tilde{\phi_c}>1,\) a bounded scheme should have \(\tilde{\phi_f}\) as that of the ____________
(Note: \(\tilde{\phi_c} \,and\, \tilde{\phi_f}\) are the normalized flow variables at the upwind node and the face).

2. For a high-resolution scheme to have good convergence, the profile in the NVD frame should __________

3. The NVF approach does not rely on _____________

4. The order of accuracy of the upwind scheme is _____________

5. The high-resolution schemes formulated using the NWF method with the equation \(\tilde{\phi_f} = l\tilde{\phi_c}+k\) are stable without any alteration when __________

6. Give the relationship between NVF and TVD.
\(\tilde{\phi_c}\) → Normalized flow variable at the upwind node
r_f → Variable of flux limiter

7. Why a parabolic profile is not used to model the variation of Φ?

8. In the orthogonal correction approach, the relationship between \(\vec{E_f}\, and\, \vec{S_f}\) is ________

9. Non-orthogonality leads to ________ in diffusion problems.

10. Consider the following NVD.

For a bounded scheme plotted in this NVD, the profile should lie inside which of these regions?