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This section includes 10 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. For steady two-dimensional convection-diffusion problem, if the general discretized equation is aP φP=aW φW+aE φE+aS φS+aN φN, what is aN using the hybrid differencing scheme?(Note: ϕ, a, F and D are the flow variable, coefficients, convective mass flux per unit area and diffusion conductance respectively). |
A. | max(Fn,(Dn–\(\frac{F_n}{2}\)),0) |
B. | max(-Fn,(Dn+\(\frac{F_n}{2}\)),0) |
C. | max(-Fn,(Dn–\(\frac{F_n}{2}\)),0) |
D. | max(Fn,(Dn+\(\frac{F_n}{2}\)),0) |
Answer» D. max(Fn,(Dn+\(\frac{F_n}{2}\)),0) | |
2. |
Consider the following stencil. Which is correct about the hybrid differencing scheme?(Note: q, φ and F are the net flux per unit area, the flow variable and the convective mass flux per unit area respectively). |
A. | qw=Fw φC if Pe≥2; qw=Fw φC if Pe≤-2 |
B. | qw=Fw φW if Pe≥2; qw=Fw φC if Pe≤-2 |
C. | qw=Fw φW if Pe≥2; qw=Fw φW if Pe≤-2 |
D. | qw=Fw φC if Pe≥2; qw=Fw φW if Pe≤-2 |
Answer» C. qw=Fw φW if Pe≥2; qw=Fw φW if Pe≤-2 | |
3. |
In which of these ranges is the central differencing scheme used? |
A. | -2≤Pe≤2 |
B. | -1≤Pe≤1 |
C. | -0.5≤Pe≤0.5 |
D. | -5≤Pe≤5 |
Answer» B. -1≤Pe≤1 | |
4. |
The Peclet number is calculated at the ____________ |
A. | control volume |
B. | cell centres |
C. | vertices |
D. | faces |
Answer» E. | |
5. |
What is the advantage of the hybrid differencing scheme compared to the QUICK scheme? |
A. | Transportiveness |
B. | Accuracy |
C. | Stability |
D. | Conservativeness |
Answer» D. Conservativeness | |
6. |
Which of these is correct about the hybrid differencing scheme? |
A. | It is conservative but not transportive |
B. | It is conservative and transportive |
C. | It is transportive but not conservative |
D. | It is neither transportive nor conservative |
Answer» C. It is transportive but not conservative | |
7. |
What is the order of accuracy of the hybrid differencing scheme? |
A. | Fourth-order |
B. | Third-order |
C. | Second-order |
D. | First-order |
Answer» E. | |
8. |
The hybrid differencing scheme is ____________ |
A. | never bounded |
B. | bounded unconditionally |
C. | bounded in the low Peclet number |
D. | bounded in the high Peclet number |
Answer» C. bounded in the low Peclet number | |
9. |
The difference scheme to be used in the hybrid system is chosen by evaluating the ____________ |
A. | Local Peclet number |
B. | Global Peclet number |
C. | Reynolds number |
D. | Nusselt number |
Answer» B. Global Peclet number | |
10. |
The hybrid differencing scheme is a combination of ____________ and ___________ |
A. | upwind and downwind schemes |
B. | downwind and central difference schemes |
C. | central difference and upwind schemes |
D. | two types of central difference schemes |
Answer» D. two types of central difference schemes | |