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This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Computational Fluid Dynamics knowledge and support exam preparation. Choose a topic below to get started.
1. |
In the Normalized Variable Diagram (NVD), all the second-order and third-order schemes pass through the point ________________ |
A. | (0,1) |
B. | (0.5,0.5) |
C. | (0.5, 0.75) |
D. | (1,1) |
Answer» D. (1,1) | |
2. |
Plotting the QUICK scheme in the (\(\tilde{\phi_c},\tilde{\phi_f}\)) plane, the profile will be ____(Note: \(\tilde{\phi_c} \,and\, \tilde{\phi_f}\) are the normalized flow variable at the upwind node and at the face respectively). |
A. | quadratic line |
B. | straight line |
C. | curved line |
D. | a parabola |
Answer» C. curved line | |
3. |
Normalize the following equation.\(\phi_f=\phi_c+\frac{\phi_d-\phi_u}{4}\) Where,Φf → Flow variable at the face.Φc → Flow variable at the upwind node.Φd → Flow variable at the downwind node.Φu → Flow variable at the far upwind node. |
A. | \(\tilde{\phi_f}=\tilde{\phi_c}+\frac{1}{4}\) |
B. | \(\tilde{\phi_f}=\frac{\tilde{\phi_c}}{4}\) |
C. | \(\tilde{\phi_f}=1+\frac{\tilde{\phi_c}}{4}\) |
D. | \(\tilde{\phi_f}=\tilde{\phi_c}+\frac{3}{4}\) |
Answer» B. \(\tilde{\phi_f}=\frac{\tilde{\phi_c}}{4}\) | |
4. |
What is the normalized flow variable at the face (\(\tilde{\phi_f}\)) for the upwind and downwind schemes respectively?(Note: \(\tilde{\phi_c}\) is the normalized flow variable at the upwind node). |
A. | 1 and 0 |
B. | 1 and \(\tilde{\phi_c}\) |
C. | 0 and 1 |
D. | \(\tilde{\phi_c}\) and 1 |
E. | .a) 1 and 0b) 1 and \(\tilde{\phi_c}\) c) 0 and 1d) \(\tilde{\phi_c}\) and 1 |
Answer» E. .a) 1 and 0b) 1 and \(\tilde{\phi_c}\) c) 0 and 1d) \(\tilde{\phi_c}\) and 1 | |
5. |
If \(\tilde{\phi_c}<0 \,or\, \tilde{\phi_c}>1\), what does it mean?(Note: \(\tilde{\phi_c}\) is the normalized flow variable at the upwind node). |
A. | Maximum at c |
B. | Minimum at c |
C. | Extremum at c |
D. | Global minimum at c |
E. | .a) Maximum at cb) Minimum at cc) Extremum at cd) Global minimum at c |
Answer» D. Global minimum at c | |
6. |
Which of these conditions represent a monotonic profile of variable Φ between the far upwind node and downwind node?(Note: \(\tilde{\phi_c}\) is the normalized flow variable at the upwind node). |
A. | \(1\leq\tilde{\phi_c}\leq ∞\) |
B. | \(0\leq\tilde{\phi_c}\leq 1\) |
C. | \(0\leq\tilde{\phi_c}\leq 0.5\) |
D. | \(0.5\leq\tilde{\phi_c}\leq 1\) |
E. | .a) \(1\leq\tilde{\phi_c}\leq ∞\) b) \(0\leq\tilde{\phi_c}\leq 1\) c) \(0\leq\tilde{\phi_c}\leq 0.5\) d) \(0.5\leq\tilde{\phi_c}\leq 1\) |
Answer» C. \(0\leq\tilde{\phi_c}\leq 0.5\) | |
7. |
What are the normalized values of the variables Φd (downwind) and Φu (far upwind)? |
A. | 1 and 0 |
B. | 0 and ∞ |
C. | 1 and ∞ |
D. | and Φu (far upwind)?a) 1 and 0b) 0 and ∞c) 1 and ∞d) 0 and 1 |
Answer» B. 0 and ∞ | |
8. |
Consider the following diagram.In the diagram,phi_u → Φuphi_d → Φdphi_c → ΦcFind the normalized flow variable \((\tilde{\phi_f})\) at the face f as in the NVF approach. |
A. | \(\tilde{\phi_f}=\frac{(\phi_f-\phi_c)}{(\phi_f-\phi_u)}\) |
B. | \(\tilde{\phi_f}=\frac{(\phi_f-\phi_u)}{(\phi_c-\phi_u)}\) c) \(\tilde{\phi_f}=\frac{(\phi_f-\phi_c)}{(\phi_d-\phi_ |
C. | }{(\phi_f-\phi_u)}\) b) \(\tilde{\phi_f}=\frac{(\phi_f-\phi_u)}{(\phi_c-\phi_u)}\) c) \(\tilde{\phi_f}=\frac{(\phi_f-\phi_c)}{(\phi_d-\phi_c)}\) |
D. | \(\tilde{\phi_f}=\frac{(\phi_f-\phi_u)}{(\phi_d-\phi_u)}\) |
Answer» E. | |
9. |
The NVF approach does not rely on _____________ |
A. | far downwind node |
B. | far upwind node |
C. | upwind node |
D. | downwind node |
Answer» B. far upwind node | |
10. |
The Normalized Variable Formulation (NVF) is used to ___________ |
A. | describe and analyse temporal schemes |
B. | describe and analyse high-resolution schemes |
C. | visualize high-resolution schemes |
D. | visualize temporal scheme |
Answer» C. visualize high-resolution schemes | |