 
			 
			MCQOPTIONS
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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 | |