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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 | |