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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. |
Consistency should be ensured ___________ |
A. | at the interior nodes |
B. | in the global domain |
C. | at the boundary nodes |
D. | at each node |
Answer» E. | |
2. |
If the discretization error is the ratio of grid spacing to time step, then for the system to be consistent, which of these is correct? |
A. | the ratio should be equal to one |
B. | the ratio should be equal to zero |
C. | the ratio should tend to zero |
D. | the ratio should be equal to negative one |
Answer» D. the ratio should be equal to negative one | |
3. |
For the solution of a system of discretized equations with consistent approximations to be consistent, which of these conditions is necessary? |
A. | Boundedness |
B. | Stability |
C. | Convergence |
D. | Accuracy |
Answer» C. Convergence | |
4. |
For consistency to have some relationship with discretization error, the discretization error should be ____________ |
A. | some powers of time-step |
B. | some powers of grid spacing |
C. | some powers of time-step and/ or grid spacing |
D. | some function of time-step and/ or grid spacing |
Answer» B. some powers of grid spacing | |
5. |
Consistency comes into the picture because of _________ |
A. | McLaurin series expansion |
B. | Power series expansion |
C. | Fourier series expansion |
D. | Taylor series expansion |
Answer» E. | |
6. |
Consistency is defined when the discretization error approaches __________ |
A. | infinity |
B. | 1 |
C. | 0 |
D. | -1 |
Answer» D. -1 | |
7. |
Courant number is applicable for __________ |
A. | implicit transient schemes |
B. | explicit transient schemes |
C. | quadratic schemes |
D. | high-resolution schemes |
Answer» C. quadratic schemes | |
8. |
What is the other name for Courant number? |
A. | CFL number |
B. | Peclet number |
C. | Nusselt number |
D. | Scarborough number |
Answer» B. Peclet number | |
9. |
Consistency of a numerical solution is directly associated with __________ |
A. | convergence |
B. | stability |
C. | iterative error |
D. | discretization error |
Answer» E. | |
10. |
A solution to some algebraic equation is said to be consistent if _________ |
A. | the error is bounded |
B. | the computation time is not prohibitive |
C. | the numerical solution approaches the exact solution when time step and grid spacing tends to zero |
D. | the solution does not change with further iterations |
Answer» D. the solution does not change with further iterations | |