Explore topic-wise MCQs in Computational Fluid Dynamics.

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)