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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. |
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 ____________
|
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 | |