 
			 
			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. | 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 | |