MCQOPTIONS
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MCQOPTIONS
This section includes 9 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 the stencil. Assume a uniform grid. Using the QUICK scheme, what is the convective flux at the western face \(\dot{m_w} \phi_w\) equal to? |
| A. | \((\frac{3}{4} \phi_P-\frac{1}{8} \phi_W+\frac{3}{8} \phi_E)×max(\dot{m_w},0)-(\frac{3}{4} \phi_W-\frac{1}{8} \phi_{WW}+\frac{3}{8}\phi_C)×max(-\dot{m_w},0) \) |
| B. | \((\frac{3}{4} \phi_P+\frac{1}{8} \phi_W+\frac{3}{8} \phi_E)×max(\dot{m_w},0)-(\frac{3}{4} \phi_W+\frac{1}{8} \phi_{WW}+\frac{3}{8} \phi_C)×max(-\dot{m_w},0)\) |
| C. | \((\frac{3}{4} \phi_P-\frac{1}{8} \phi_W-\frac{3}{8} \phi_E)×max(\dot{m_w},0)-(\frac{3}{4} \phi_W-\frac{1}{8} \phi_{WW}-\frac{3}{8} \phi_C)×max(-\dot{m_w},0)\) |
| D. | \((\frac{3}{4} \phi_P+\frac{1}{8} \phi_W-\frac{3}{8} \phi_E)×max(\dot{m_w},0)-(\frac{3}{4} \phi_W+\frac{1}{8} \phi_{WW}-\frac{3}{8} \phi_C)×max(-\dot{m_w},0)\) |
| Answer» B. \((\frac{3}{4} \phi_P+\frac{1}{8} \phi_W+\frac{3}{8} \phi_E)×max(\dot{m_w},0)-(\frac{3}{4} \phi_W+\frac{1}{8} \phi_{WW}+\frac{3}{8} \phi_C)×max(-\dot{m_w},0)\) | |
| 2. |
Which of these is correct about the QUICK scheme? |
| A. | Stable and bounded |
| B. | Stable and unbounded |
| C. | Unstable and bounded |
| D. | Unstable and unbounded |
| Answer» E. | |
| 3. |
What is the first term of the truncation error of the QUICK scheme? |
| A. | \(\frac{1}{16} (\Delta x)^2 \phi_C”’\) |
| B. | \(\frac{1}{16} (\Delta x)^3 \phi_C”’\) |
| C. | \(\frac{1}{16} (\Delta x)^3 \phi_C^{iv}\) |
| D. | \(\frac{1}{16} (\Delta x)^2 \phi_C^{iv}\) |
| Answer» D. \(\frac{1}{16} (\Delta x)^2 \phi_C^{iv}\) | |
| 4. |
How many terms does the discretized form of source-free 1-D convection problem modelled using the QUICK scheme has? |
| A. | 3 |
| B. | 5 |
| C. | 2 |
| D. | 4 |
| Answer» C. 2 | |
| 5. |
What is the order of accuracy of the QUICK scheme? |
| A. | second-order |
| B. | first-order |
| C. | fourth-order |
| D. | third-order |
| Answer» B. first-order | |
| 6. |
Consider the stencil. Assume a uniform grid. What is φe according to the QUICK scheme? |
| A. | \(\phi_e=\frac{\phi_P-\phi_E}{2}-\frac{\phi_E+2\phi_P+\phi_W}{8}\) |
| B. | \(\phi_e=\frac{\phi_P+\phi_E}{2}-\frac{\phi_E+2\phi_P+\phi_W}{8}\) |
| C. | \(\phi_e=\frac{\phi_P+\phi_E}{2}-\frac{\phi_E-2\phi_P+\phi_W}{8}\) |
| D. | \(\phi_e=\frac{\phi_P-\phi_E}{2}-\frac{\phi_E-2\phi_P+\phi_W}{8}\) |
| Answer» D. \(\phi_e=\frac{\phi_P-\phi_E}{2}-\frac{\phi_E-2\phi_P+\phi_W}{8}\) | |
| 7. |
According to the QUICK scheme, the flow variable (φ) is given by ____(Note: U, D and C represents the upwind, downwind and the central nodes respectively). |
| A. | \(\phi=\phi_U+\frac{(x-x_D)(x-x_C)}{(x_D-x_U)(x_D-x_C)}(\phi_D-\phi_U)+\frac{(x-x_U)(x-x_D)}{(x_C-x_U)(x_C-x_D )}(\phi_C-\phi_U) \) |
| B. | \(\phi=\phi_U+\frac{(x-x_D)(x-x_C)}{(x_D-x_U)(x_D-x_C)}(\phi_D-\phi_U)+\frac{(x-x_C)(x-x_D)}{(x_C-x_U)(x_C-x_D )}(\phi_C-\phi_U)\) |
| C. | \(\phi=\phi_U+\frac{(x-x_U)(x-x_C)}{(x_D-x_U)(x_D-x_C)}(\phi_D-\phi_U)+\frac{(x-x_C)(x-x_D)}{(x_C-x_U )(x_C-x_D)}(\phi_C-\phi_U)\) |
| D. | \(\phi=\phi_U+\frac{(x-x_U )(x-x_C )}{(x_D-x_U)(x_D-x_C)}(\phi_D-\phi_U)+\frac{(x-x_U)(x-x_D)}{(x_C-x_U)(x_C-x_D)}(\phi_C-\phi_U)\) |
| Answer» E. | |
| 8. |
Which is correct about the QUICK scheme? |
| A. | A two-point upwind biased interpolation |
| B. | A three-point upwind biased interpolation |
| C. | A three-point downwind biased interpolation |
| D. | A two-point downwind biased interpolation |
| Answer» C. A three-point downwind biased interpolation | |
| 9. |
What does QUICK stand for? |
| A. | Quadratic Upstream Interpolation for Convective Kinetics |
| B. | Quadratic Upstream Interval for Convective Kinetics |
| C. | Quadratic Upwind Interval for Convective Kinetics |
| D. | Quadratic Upwind Interpolation for Convective Kinetics |
| Answer» B. Quadratic Upstream Interval for Convective Kinetics | |