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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) | |