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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 general equation for PDMA is ai i+bi i+2+ci i+1+di i-1+ei i-2=fi. Which of the following is incorrect? (Note: N is the number of unknowns). |
A. | e<sub>2</sub>=0 |
B. | c<sub>N-1</sub>=0 |
C. | e<sub>1</sub>=0 |
D. | c<sub>N</sub>=0 |
Answer» C. e<sub>1</sub>=0 | |
2. |
TDMA and PDMA are particularly suitable for _____________ |
A. | Cartesian grid problems |
B. | Curvilinear grid problems |
C. | Unstructured grid problems |
D. | Structured grid problems |
Answer» E. | |
3. |
Consider the global matrix A =b. If my coefficient matrix A is the same for different b vectors, which of these methods is economic? |
A. | Gauss elimination |
B. | TDMA |
C. | LU decomposition |
D. | PDMA |
Answer» D. PDMA | |
4. |
The number of operations for LU decomposition method is ____________ the number of operations for the Gauss elimination method. |
A. | twice |
B. | half of |
C. | one-third of |
D. | thrice |
Answer» B. half of | |
5. |
Which of these is true for the LU decomposition method? |
A. | L =Ub |
B. | LU =b |
C. | =LUb |
D. | U =Lb |
Answer» C. =LUb | |
6. |
If N is the number of unknowns, the number of operations required for backward substitution is ____________ |
A. | ( frac{N^3}{3} ) |
B. | ( frac{N^3}{2} ) |
C. | ( frac{N^2}{2} ) |
D. | ( frac{N^2}{3} ) |
Answer» D. ( frac{N^2}{3} ) | |
7. |
After the forward elimination step of the Gauss elimination method, the coefficient matrix is reduced to ____________ |
A. | a lower triangular matrix |
B. | an upper triangular matrix |
C. | a diagonal matrix |
D. | a banded matrix |
Answer» C. a diagonal matrix | |
8. |
Which of these direct methods is suitable only for banded matrices? |
A. | Gauss elimination |
B. | LU decomposition |
C. | PDMA |
D. | LU decomposition by Gauss elimination |
Answer» D. LU decomposition by Gauss elimination | |
9. |
The coefficient matrix in the global matrix format of the algebraic equations is a ______________ |
A. | sparse matrix |
B. | dense matrix |
C. | diagonal matrix |
D. | symmetric matrix |
Answer» B. dense matrix | |