MCQOPTIONS
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MCQOPTIONS
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. |
Which of these statements about the Adams-Moulton method is correct? |
| A. | It involves the terms at the older time-step only |
| B. | It involves the terms at the next time-step |
| C. | It does not involve iterations |
| D. | It does not involve older steps |
| Answer» C. It does not involve iterations | |
| 2. |
The Adams-Moulton scheme comes under ____________ |
| A. | Backward schemes |
| B. | Forward schemes |
| C. | Multipoint schemes |
| D. | Runge-Kutta methods |
| Answer» D. Runge-Kutta methods | |
| 3. |
The Adams-Moulton scheme is __________ |
| A. | explicit |
| B. | implicit |
| C. | a two-level scheme |
| D. | a three-level scheme |
| Answer» C. a two-level scheme | |
| 4. |
According to the Adams-Moulton scheme, the derivative of a function T at time-step t is given by _________ |
| A. | \(\frac{3 T(t)+4T(t-\Delta t)-T(t-2\Delta t)}{2\Delta t}\) |
| B. | \(\frac{3 T(t)-4T(t-\Delta t)-T(t-2\Delta t)}{2\Delta t}\) |
| C. | \(\frac{3 T(t)+4T(t-\Delta t)+T(t-2\Delta t)}{2\Delta t}\) |
| D. | \(\frac{3 T(t)-4T(t-\Delta t)+T(t-2\Delta t)}{2\Delta t}\) |
| Answer» E. | |
| 5. |
For which of these problems is the Crank-Nicolson scheme unconditionally stable? |
| A. | Compressible flows |
| B. | Advection problems |
| C. | Diffusion problems |
| D. | Convection-Diffusion problems |
| Answer» D. Convection-Diffusion problems | |
| 6. |
For the transient convection problems, the Crank-Nicolson scheme is stable when _________ |
| A. | CFLconv≤2 |
| B. | CFLconv≤1 |
| C. | CFLconv≥-2 |
| D. | CFLconv≥-1 |
| Answer» B. CFLconv≤1 | |
| 7. |
To find the values at the current time-step, the Crank-Nicolson scheme uses ___________ |
| A. | t-Δt and t+Δ t steps |
| B. | t-Δ t and t-2Δ t steps |
| C. | t+Δ t and t+2Δ t steps |
| D. | t and t+Δt steps |
| Answer» C. t+Δ t and t+2Δ t steps | |
| 8. |
The Crank-Nicolson scheme is ________ |
| A. | fourth-order accurate |
| B. | third-order accurate |
| C. | second-order accurate |
| D. | first-order accurate |
| Answer» D. first-order accurate | |
| 9. |
The approximation of the derivative taken by the Crank-Nicolson scheme is the same as the __________ of spatial derivative. |
| A. | second order forward difference approximation |
| B. | backward difference approximation |
| C. | forward difference approximation |
| D. | central difference approximation |
| Answer» E. | |
| 10. |
Which of these equations give the derivative of the function T at time t as given by the Crank-Nicolson scheme? |
| A. | \(\frac{T(t+\Delta t)-T(t-\Delta t)}{2 \Delta t}\) |
| B. | \(\frac{T(t+\Delta t)+T(t-\Delta t)}{2 \Delta t}\) |
| C. | \(\frac{T(t+\Delta t)-T(t-\Delta t)}{\Delta t}\) |
| D. | \(\frac{T(t+\Delta t)+T(t-\Delta t)}{\Delta t}\) |
| Answer» B. \(\frac{T(t+\Delta t)+T(t-\Delta t)}{2 \Delta t}\) | |