MCQOPTIONS
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MCQOPTIONS
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. |
Give the relationship between NVF and TVD.
|
| A. | nr<sub>f</sub> Variable of flux limiter |
| B. | ( tilde{ phi_c}= frac{1}{1-r_f} ) |
| C. | ( tilde{ phi_c}= frac{1}{1+r_f} ) |
| D. | ( tilde{ phi_c}= frac{r_f}{1-r_f} ) |
| E. | ( tilde{ phi_c}= frac{r_f}{1+r_f} ) |
| Answer» E. ( tilde{ phi_c}= frac{r_f}{1+r_f} ) | |
| 2. |
What are the flux limiters for upwind and downwind schemes respectively? |
| A. | 0 and 2 |
| B. | 0 and 1 |
| C. | 0 and |
| D. | 1 and |
| Answer» B. 0 and 1 | |
| 3. |
The condition that the flux limiter of a scheme should satisfy to be TVD is __________ |
| A. | <sub>r</sub>=min u2061(0.5r,r) & if r>0; <sub>r</sub>=0 & if r<0 |
| B. | <sub>r</sub>=min u2061(r,1) & if r>0; <sub>r</sub>=0 & if r 0 |
| C. | <sub>r</sub>=min u2061(2r,r) & if r>0; <sub>r</sub>=0 & if r 0 |
| D. | <sub>r</sub>=min u2061(2r,2) & if r>0; <sub>r</sub>=0 & if r<0 |
| Answer» D. <sub>r</sub>=min u2061(2r,2) & if r>0; <sub>r</sub>=0 & if r<0 | |
| 4. |
The Sweby s diagram is drawn in __________ plane. |
| A. | ( ,r) |
| B. | ( , ( tilde{ phi_c} )) |
| C. | ( , ( tilde{ phi_f} )) |
| D. | ( , ( tilde{ phi_d} )) |
| Answer» B. ( , ( tilde{ phi_c} )) | |
| 5. |
The flux limiter is a function of __________ |
| A. | the gradient at that central node |
| B. | the ratio of two consecutive gradients |
| C. | the product of two consecutive gradients |
| D. | the difference between two consecutive gradients |
| Answer» C. the product of two consecutive gradients | |
| 6. |
Developing a TVD scheme relies upon _________ |
| A. | the flux limiter |
| B. | the coefficients |
| C. | the PDE |
| D. | the convection terms |
| Answer» B. the coefficients | |
| 7. |
Consider the discretized form of an equation given by ( frac{ partial( rho u phi)}{ partial x}=-a( phi_c- phi_u)+b( phi_d- phi_c). ) For this numerical scheme to be TVD, what is the condition?
|
| A. | a 0;b 0;0 a+b 1 |
| B. | a 0;b 0;0 a+b 1 |
| C. | a 0;b 0;0 a-b 1 |
| D. | a 0; 0;0 a-b 1 |
| Answer» B. a 0;b 0;0 a+b 1 | |
| 8. |
A Total Variation Diminishing (TVD) scheme is always __________ |
| A. | continuous |
| B. | monotonic |
| C. | stable |
| D. | bounded |
| Answer» C. stable | |
| 9. |
A numerical method is total variation diminishing if __________ |
| A. | the total variation remains constant with increasing time |
| B. | the total variation increases with increasing time |
| C. | the total variation does not increase with increasing time |
| D. | the total variation decreases with increasing time |
| Answer» D. the total variation decreases with increasing time | |
| 10. |
What is the total variation of a flow variable ( ) at a particular time step t? |
| A. | TV<sup>t</sup>= <sub>i</sub> <sub>i+1</sub>- <sub>i</sub> |
| B. | TV<sup>t</sup>= <sub>n</sub> <sub>n</sub>dn |
| C. | TV<sup>t</sup>= <sub>i</sub> <sub>(i+1)</sub> <sub>i</sub> |
| D. | TV<sup>t</sup>= <sub>i</sub> <sub>(i+1)</sub> <sub>i</sub> |
| Answer» E. | |