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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. |
Flow properties are not bounded by the boundary values __________ |
A. | in the absence of convection term |
B. | in the absence of source term |
C. | in the presence of source term |
D. | in the absence of convection term |
Answer» D. in the absence of convection term | |
2. |
Applying the boundedness condition, which is correct?ρi → Density at nodes |
A. | ρi < 1 |
B. | ρi < 0 |
C. | ρi > 0 |
D. | ρi > 1 |
Answer» D. ρi > 1 | |
3. |
Which of these conditions define boundedness?ΦF → Flow property at boundaryΦi → Flow property at nodes |
A. | Φi≤max(ΦF) |
B. | min(ΦF )≤Φi≤max(ΦF) |
C. | Φi≥min(ΦF) |
D. | Φi≥max(ΦF) |
Answer» C. Φi≥min(ΦF) | |
4. |
Which of these schemes guarantee boundedness? |
A. | Central difference schemes. |
B. | Forward difference schemes |
C. | High-resolution schemes |
D. | First order schemes |
Answer» E. | |
5. |
Which of these schemes often result in unbounded solutions? |
A. | Central difference schemes. |
B. | First order schemes |
C. | QUICK scheme |
D. | High-resolution schemes |
Answer» D. High-resolution schemes | |
6. |
A coefficient matrix is diagonally dominant if ________Note: anb → coefficients of the neighbouring nodesap → coefficient of the central node |
A. | \(\frac{\big|a_{nb}\big|}{\big|a_p\big|}\)< 1 |
B. | \(\frac{\big|a_p \big|}{\sum\big|a_{nb} \big|}\) < 1 |
C. | \(\frac{\sum\big|a_{nb} \big|}{\big|a_p \big|}\) < 1 |
D. | \(\frac{\big|a_p \big|}{\big|a_{nb} \big|}\) < 1 |
Answer» D. \(\frac{\big|a_p \big|}{\big|a_{nb} \big|}\) < 1 | |
7. |
Boundedness of a system has a direct impact on ______________ |
A. | stability |
B. | convergence |
C. | conservativeness |
D. | transportiveness |
Answer» C. conservativeness | |
8. |
___________ of the coefficient matrix is a desirable feature for boundedness. |
A. | Non-diagonal dominance |
B. | Singularity |
C. | Sparsity |
D. | Diagonal dominance |
Answer» E. | |
9. |
For a system to be bounded, the coefficients of the nodes should ___________ |
A. | have the same sign |
B. | be the same |
C. | be different everywhere |
D. | have different signs everywhere |
Answer» B. be the same | |
10. |
A flow property Φ is bounded when ___________ |
A. | the value of flow properties at a node is bounded by its boundary values |
B. | the error is bounded |
C. | the numerical solution approaches the exact solution |
D. | the solution does not change with further iterations |
Answer» B. the error is bounded | |