MCQOPTIONS
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MCQOPTIONS
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. |
The diagonal elements of the coefficient matrix obtained by applying the least-square to Cartesian grids are ___________ |
| A. | the ratio of the grid sizes and the weights in the x, y, z-directions |
| B. | the product of the grid sizes and the weights in the x, y, z-directions |
| C. | the weights in the x, y, z-directions |
| D. | the grid sizes in the x, y, z-directions |
| Answer» E. | |
| 2. |
The least-square method is ____________ |
| A. | at least first-order accurate |
| B. | at least second-order accurate |
| C. | first-order accurate |
| D. | second-order accurate |
| Answer» B. at least second-order accurate | |
| 3. |
While using the Cartesian grids, the coefficient matrix becomes ____________ |
| A. | a square matrix |
| B. | an upper triangular matrix |
| C. | a diagonal matrix |
| D. | a lower triangular matrix |
| Answer» D. a lower triangular matrix | |
| 4. |
The least-square method is exact when ____________ |
| A. | the system is two-dimensional |
| B. | the system is linear |
| C. | the system is two-dimensional |
| D. | the system is quadratic |
| Answer» C. the system is two-dimensional | |
| 5. |
The gradient is found in the least-square method by solving ____________(Note: n is the number of dimensions) |
| A. | a system of n equations |
| B. | a single equation |
| C. | a system of n<sup>2</sup> equations |
| D. | a system of 2n equations |
| Answer» B. a single equation | |
| 6. |
In the least-square method, the gradient is computed using ___________ |
| A. | trial and error method |
| B. | optimization method |
| C. | weighted average |
| D. | predictor-corrector method |
| Answer» C. weighted average | |
| 7. |
The weight used in the least-square method is a function of __________ |
| A. | twice the distance between the vertex and the centroid of the cells |
| B. | square of the distance between the vertex and the centroid of the cells |
| C. | inverse of the distance between the vertex and the centroid of the cells |
| D. | the distance between the vertex and the centroid of the cells |
| Answer» D. the distance between the vertex and the centroid of the cells | |
| 8. |
What is the disadvantage of using the least-square method? |
| A. | Inconsistent |
| B. | Less convergence rate |
| C. | Instability |
| D. | Computational cost |
| Answer» E. | |
| 9. |
What is the advantage of the least-square method over the other methods? |
| A. | Computational ease |
| B. | Accuracy |
| C. | Flexibility |
| D. | Stability |
| Answer» D. Stability | |