MCQOPTIONS
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MCQOPTIONS
This section includes 7 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. |
Consider three-dimensional Euler equations. Which equation will you use to find the value \((\frac{\partial u}{\partial t})_{i,j}^t\)? |
| A. | Energy equation |
| B. | y-momentum equation |
| C. | x-momentum equation |
| D. | Continuity equation |
| Answer» D. Continuity equation | |
| 2. |
What is the disadvantage of the Lax-Wendroff technique? |
| A. | Stability |
| B. | Explicit |
| C. | Order of accuracy |
| D. | \((\frac{\partial ^2 \rho}{\partial t^2 })_{i,j}^t\) |
| Answer» E. | |
| 3. |
Expand the term \(\rho_{i,j}^{t+\Delta t}\) for Lax-Wendroff technique.Note:t → Current time-stept+Δt → Next time-stepav → Average time-step between t and t+Δ tt-Δ t → Previous time-step |
| A. | \(\rho_(i,j)^t+(\frac{\partial ρ}{\partial t})_{i,j}^t \Delta t+(\frac{\partial ^2 ρ}{\partial t^2 })_{i,j}^t \frac{(\Delta t)^2}{2} \) |
| B. | \(\rho_{i,j}^{t+\Delta t}+(\frac{\partial \rho}{\partial t})_{i,j}^{t+\Delta t} \Delta t+(\frac{\partial^2 ρ}{\partial t^2 })_{i,j}^{t+\Delta t}\frac{(\Delta t)^2}{2}\) |
| C. | \(\rho_{i,j}^{av}+(\frac{\partial \rho}{\partial t})_{i,j}^{av} \Delta t+(\frac{\partial ^2 ρ}{\partial t^2 })_{i,j}^{av}\frac{(\Delta t)^2}{2}\) |
| D. | \(\rho_{i,j}^{t-\Delta t}+(\frac{\partial \rho}{\partial t})_{i,j}^{t-\Delta t} \Delta t+(\frac{\partial^2 \rho}{\partial t^2})_{i,j}^{t-\Delta t}\frac{(\Delta t)^2}{2}\) |
| Answer» B. \(\rho_{i,j}^{t+\Delta t}+(\frac{\partial \rho}{\partial t})_{i,j}^{t+\Delta t} \Delta t+(\frac{\partial^2 ρ}{\partial t^2 })_{i,j}^{t+\Delta t}\frac{(\Delta t)^2}{2}\) | |
| 4. |
How many terms of the Taylor series expansion is used in the Lax-Wendroff technique? |
| A. | (Δ t)1 and (Δ t)2 |
| B. | (Δ t)0, (Δ t)1 and (Δ t)2 |
| C. | (Δ t)0 and (Δ t)1 |
| D. | (Δ t)0 |
| Answer» C. (Δ t)0 and (Δ t)1 | |
| 5. |
Which series expansion is used by the Lax-Wendroff Technique? |
| A. | Taylor Series |
| B. | Fourier series |
| C. | McLaurin series |
| D. | Laurent series |
| Answer» B. Fourier series | |
| 6. |
What is the order of accuracy of the Lax-Wendroff technique? |
| A. | fourth-order |
| B. | third-order |
| C. | first-order |
| D. | second-order |
| Answer» E. | |
| 7. |
The Lax-Wendroff 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 | |