 
			 
			MCQOPTIONS
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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. | I am using forward differences in the predictor step. Which method would you suggest me to use in the corrector step? | 
| A. | Rearward differences | 
| B. | Central differences | 
| C. | Forward differences | 
| D. | Second-order differences | 
| Answer» B. Central differences | |
| 2. | Which of these values used to find \((\frac{\partial \rho}{\partial t})_{i,j}^{av}\) is a predicted one? | 
| A. | \((\frac{\partial\rho}{\partial t})_{i,j}^t\) | 
| B. | Neither \((\frac{\partial\rho}{\partial t})_{i,j}^t nor (\frac{\partial\rho}{\partial t})_{i,j}^{t+\Delta t}\) | 
| C. | \((\frac{\partial\rho}{\partial t})_{i,j}^{t+\Delta t}\) | 
| D. | Both \((\frac{\partial\rho}{\partial t})_{i,j}^t and (\frac{\partial\rho}{\partial t})_{i,j}^{t+\Delta t}\) | 
| Answer» D. Both \((\frac{\partial\rho}{\partial t})_{i,j}^t and (\frac{\partial\rho}{\partial t})_{i,j}^{t+\Delta t}\) | |
| 3. | Which value is predicted in the predictor step of the MacCormack’s technique? | 
| A. | Variable at the average time-step | 
| B. | Variable at the upcoming time-step | 
| C. | Time derivative of the variable at the upcoming time-step | 
| D. | Time derivative of the variable at the average time-step | 
| Answer» C. Time derivative of the variable at the upcoming time-step | |
| 4. | How is the value \((\frac{\partial \rho}{\partial t})_{i,j}^{av}\) obtained in the MacCormack’s expansion to find \(\rho_{i,j}^{t+\Delta t}\)? | 
| A. | Truncated mean of \((\frac{\partial\rho}{\partial t})_{i,j}^t and (\frac{\partial\rho}{\partial t})_{i,j}^{t+\Delta t}\) | 
| B. | Weighted average of \((\frac{\partial\rho}{\partial t})_{i,j}^t and (\frac{\partial\rho}{\partial t})_{i,j}^{t+\Delta t}\) | 
| C. | Geometric mean of \((\frac{\partial\rho}{\partial t})_{i,j}^t and (\frac{\partial\rho}{\partial t})_{i,j}^{t+\Delta t}\) | 
| D. | Arithmetic mean of \((\frac{\partial\rho}{\partial t})_{i,j}^t and (\frac{\partial\rho}{\partial t})_{i,j}^{t+\Delta t}\) | 
| Answer» E. | |
| 5. | Which of these methods is used for finding the average time derivative in MacCormack’s technique? | 
| A. | Trial and error method | 
| B. | Predictor-corrector method | 
| C. | Genetic algorithm | 
| D. | Relaxation method | 
| Answer» C. Genetic algorithm | |
| 6. | Expand the term \(\rho_{i,j}^{t+\Delta t}\) for the MacCormack’s technique.Note:t →Current time-stepav → Average time-step between t and t+Δ t. | 
| A. | \(\rho_{i,j}^t+(\frac{\partial\rho}{\partial t})_{i,j}^{av}\Delta t\) | 
| B. | \(\rho_{i,j}^{av}+(\frac{\partial\rho}{\partial t})_{i,j}^{av} \Delta t\) | 
| C. | \(\rho_{i,j}^{av}+(\frac{\partial\rho}{\partial t})_{i,j}^t \Delta t\) | 
| D. | \(\rho_{i,j}^t+(\frac{\partial\rho}{\partial t})_{i,j}^t \Delta t\) | 
| Answer» B. \(\rho_{i,j}^{av}+(\frac{\partial\rho}{\partial t})_{i,j}^{av} \Delta t\) | |
| 7. | Which of these terms of the Taylor series expansion is used in the MacCormack’s technique? | 
| A. | (Δ t)1 and (Δ t)2 | 
| B. | (Δ t)1 | 
| C. | (Δ t)0 and (Δ t)1 | 
| D. | (Δ t)0 | 
| Answer» D. (Δ t)0 | |
| 8. | What is the order of accuracy of the MacCormack’s technique? | 
| A. | Fourth-order | 
| B. | Third-order | 
| C. | First-order | 
| D. | Second-order | 
| Answer» E. | |
| 9. | Which series expansion is used by the MacCormack’s technique? | 
| A. | Taylor Series | 
| B. | Fourier series | 
| C. | McLaurin series | 
| D. | Laurent series | 
| Answer» B. Fourier series | |
| 10. | MacCormack’s technique is __________ | 
| A. | explicit, finite-difference method | 
| B. | implicit, finite-difference method | 
| C. | explicit, finite volume method | 
| D. | implicit, finite volume method | 
| Answer» B. implicit, finite-difference method | |