 
			 
			MCQOPTIONS
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				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 following stencil. Assume a uniform grid. What is the convective flux at the western face (\(\dot{m_w}\phi_w\)) using the FROMM scheme? | 
| A. | \((\phi_P-\frac{\phi_E}{4}+\frac{\phi_W}{4}) max(\dot{m_w},0)-(\phi_W\frac{-\phi_{WW}}{4}+\frac{\phi_C}{4}) max(-\dot{m_w},0)\) | 
| B. | \((\phi_P-\frac{\phi_W}{4}+\frac{\phi_E}{4}) max(\dot{m_w},0)-(\phi_W\frac{-\phi_{WW}}{4}+\frac{\phi_C}{4}) max(-\dot{m_w},0)\) | 
| C. | \((\phi_P\frac{-\phi_E}{4}+\frac{\phi_W}{4}) max(\dot{m_w},0)-(\phi_W\frac{-\phi_C}{4}+\frac{\phi_{WW}}{4}) max(-\dot{m_w},0)\) | 
| D. | \((\phi_P\frac{-\phi_W}{4}+\frac{\phi_E}{4}) max(\dot{m_w},0)-(\phi_W\frac{-\phi_C}{4}+\frac{\phi_{WW}}{4})max(-\dot{m_w},0)\) | 
| Answer» B. \((\phi_P-\frac{\phi_W}{4}+\frac{\phi_E}{4}) max(\dot{m_w},0)-(\phi_W\frac{-\phi_{WW}}{4}+\frac{\phi_C}{4}) max(-\dot{m_w},0)\) | |
| 2. | For the FROMM scheme, what is the flux limiter ψ(r) equal to? | 
| A. | 1-\(\frac{r}{2}\) | 
| B. | 1+\(\frac{r}{2}\) | 
| C. | \(\frac{1-r}{2}\) | 
| D. | \(\frac{1+r}{2}\) | 
| Answer» E. | |
| 3. | What is the normalized relationship between Φf and Φc for the FROMM scheme? | 
| A. | \(\tilde{\phi_f}=\tilde{\phi_c}+\frac{1}{4}\) | 
| B. | \(\tilde{\phi_f}=\tilde{\phi_c}-\frac{1}{4}\) | 
| C. | \(\tilde{\phi_f}=\frac{1}{4}-\tilde{\phi_c}\) | 
| D. | \(\tilde{\phi_f}=\frac{1}{4} \tilde{\phi_c}\) | 
| Answer» B. \(\tilde{\phi_f}=\tilde{\phi_c}-\frac{1}{4}\) | |
| 4. | Consider the following stencil. Assume a uniform grid. What is Φe according to the QUICK scheme? | 
| A. | ΦP+\(\frac{2}{3}\)(ΦE-ΦW) | 
| B. | ΦP+\(\frac{1}{2}\)(ΦE-ΦW) | 
| C. | ΦP+\(\frac{1}{4}\)(ΦE-ΦW) | 
| D. | ΦP+\(\frac{3}{4}\)(ΦE-ΦW) | 
| Answer» D. ΦP+\(\frac{3}{4}\)(ΦE-ΦW) | |
| 5. | Consider the following stencil. What is Φe according to the QUICK scheme? | 
| A. | Φe=\(\phi_P+\frac{x_e-x_P}{x_E-x_W}\)(ΦE-ΦW) | 
| B. | Φe=\(\phi_P+\frac{x_e-x_P}{x_E-x_W}\)(ΦE+ΦW) | 
| C. | Φe=\(\phi_P-\frac{x_e-x_P}{x_E-x_W}\)(ΦE-ΦW) | 
| D. | Φe=\(\phi_P-\frac{x_e-x_P}{x_E-x_W}\)(ΦE+ΦW) | 
| Answer» B. Φe=\(\phi_P+\frac{x_e-x_P}{x_E-x_W}\)(ΦE+ΦW) | |
| 6. | Which of these is correct about the FROMM scheme? | 
| A. | A linear profile is obtained between the immediate upwind and the far downwind nodes | 
| B. | A linear profile is obtained between the far upwind and the immediate downwind nodes | 
| C. | A linear profile is obtained between the far upwind and the immediate upwind nodes | 
| D. | A linear profile is obtained between the far upwind and the far downwind nodes | 
| Answer» C. A linear profile is obtained between the far upwind and the immediate upwind nodes | |
| 7. | FROMM scheme ____________ | 
| A. | gives weighted importance to the upwind and downwind schemes | 
| B. | gives equal importance to upwind and downwind scheme | 
| C. | is downwind biased | 
| D. | is upwind biased | 
| Answer» E. | |
| 8. | What is the order of accuracy of the FROMM scheme? | 
| A. | First-order | 
| B. | Second-order | 
| C. | Third-order | 
| D. | Fourth-order | 
| Answer» C. Third-order | |
| 9. | Which of these profiles is used by the FROMM scheme? | 
| A. | Φ(x)=k0+k1 (x-xc)+k2 (x-xc)2 | 
| B. | Φ(x)=k1 (x-xc )+k2 (x-xc)2c) Φ(x)=k0+k1 (x-xc)d) Φ(x)=k1 (x-x | 
| C. | +k2 (x-xc)2b) Φ(x)=k1 (x-xc )+k2 (x-xc)2c) Φ(x)=k0+k1 (x-xc) | 
| D. | Φ(x)=k1 (x-xc) | 
| Answer» D. Φ(x)=k1 (x-xc) | |