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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. |
Tolerance for iteration errors is usually based on _______________ |
| A. | convergence |
| B. | residuals |
| C. | stability |
| D. | round-off error |
| Answer» C. stability | |
| 2. |
The error occurring while approximating the physical problem is called as ____________ |
| A. | Modelling error |
| B. | Physical error |
| C. | Mathematical order |
| D. | Iteration error |
| Answer» B. Physical error | |
| 3. |
In Von Neumann analysis, the solution is expanded using ____________ |
| A. | Laurent series |
| B. | McLaurin series |
| C. | Taylor series |
| D. | Fourier series |
| Answer» E. | |
| 4. |
Which of these iterative processes is unstable? (Note: \(\epsilon_n\) is the error in the nth iteration). |
| A. | \(\frac{\epsilon_{n+1}}{\epsilon_n} = 0.5\) |
| B. | \(\frac{\epsilon_{n+1}}{\epsilon_n} = 0.75\) |
| C. | \(\frac{\epsilon_{n+1}}{\epsilon_n} = 1.25\) |
| D. | \(\frac{\epsilon_{n+1}}{\epsilon_n} = 1\) |
| Answer» D. \(\frac{\epsilon_{n+1}}{\epsilon_n} = 1\) | |
| 5. |
Round-off errors are important in ____________ |
| A. | modelling |
| B. | iterations |
| C. | discretization |
| D. | truncation |
| Answer» C. discretization | |
| 6. |
___________ become significant after a repeated number of calculations. |
| A. | Round-off errors |
| B. | Discretization errors |
| C. | Truncation errors |
| D. | Modelling errors |
| Answer» B. Discretization errors | |
| 7. |
If the order of a discretized equation is ‘k’, what does it mean? |
| A. | The last term of the equation is of (k+1)th power |
| B. | The last term of the equation is of kth power |
| C. | Truncation error is proportional to (k-1)th power |
| D. | Truncation error is proportional to kth power |
| Answer» E. | |
| 8. |
The error due to the discretization of the partial differential equation is called as ______________ |
| A. | round-off error |
| B. | discretization error |
| C. | truncation error |
| D. | iteration error |
| Answer» D. iteration error | |
| 9. |
The difference between the exact analytical solution of a partial differential equation and its numerical solution is as ___________ |
| A. | round-off error |
| B. | discretization error |
| C. | iteration error |
| D. | modelling error |
| Answer» C. iteration error | |
| 10. |
Which of these conditions is unstable? |
| A. | Error is amplified in increasing iterations |
| B. | Error is decreasing in increasing iterations |
| C. | Error is amplified in decreasing iterations |
| D. | Error is maintained in increasing iterations |
| Answer» B. Error is decreasing in increasing iterations | |