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. |
What is the maximum possible accuracy for the two-level methods? |
| A. | Fifth-order |
| B. | Fourth-order |
| C. | Third-order |
| D. | Second-order |
| Answer» E. | |
| 2. |
What is the order of accuracy of the forward Euler method? |
| A. | First-order |
| B. | Second-order |
| C. | Third-order |
| D. | Fourth-order |
| Answer» B. Second-order | |
| 3. |
Which of these methods is stable for non-linear systems? |
| A. | Forward Euler method |
| B. | Backward Euler method |
| C. | Trapezoidal method |
| D. | Midpoint rule |
| Answer» C. Trapezoidal method | |
| 4. |
The trapezoidal rule is ___________ |
| A. | stable when Δ t>1 |
| B. | stable when Δ t<1 |
| C. | always stable |
| D. | never stable |
| Answer» D. never stable | |
| 5. |
What is the condition of stability for the forward Euler method when the function is real? |
| A. | \(\Delta t\frac{\partial f}{\partial\phi} <2\) |
| B. | \(\big|\Delta t\frac{\partial f}{\partial\phi}\big|<2\) |
| C. | Always stable |
| D. | Never statble |
| Answer» C. Always stable | |
| 6. |
Which of these is an explicit method of solving initial value problems? |
| A. | Forward Euler method |
| B. | Adams method |
| C. | Trapezoidal method |
| D. | Midpoint rule |
| Answer» B. Adams method | |
| 7. |
Which of these methods is derived from the trapezoidal rule? |
| A. | Euler method |
| B. | Adams method |
| C. | Runge-Kutta method |
| D. | Crank-Nicolson method |
| Answer» E. | |
| 8. |
Which of these methods is the basis of the leapfrog method? |
| A. | Midpoint rule |
| B. | Trapezoidal rule |
| C. | Implicit Euler method |
| D. | Explicit Euler method |
| Answer» B. Trapezoidal rule | |
| 9. |
Which of these methods will not come under a two-level method? |
| A. | Forward Euler method |
| B. | Adams method |
| C. | Trapezoidal method |
| D. | Midpoint rule |
| Answer» C. Trapezoidal method | |
| 10. |
For which kind of problems are the two-level methods used? |
| A. | Spatial integrations |
| B. | Spatial problems in ODEs |
| C. | Temporal initial value problems in ODEs |
| D. | Temporal initial value problems in integration |
| Answer» D. Temporal initial value problems in integration | |