 
			 
			MCQOPTIONS
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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 \(\tilde{\phi_c}1\), 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 | |