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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. |
Which of these is correct for the multipoint method? |
A. | multiple derivatives at each time step |
B. | only one evaluation of derivative per time step |
C. | order of accuracy is restricted to four |
D. | extremely unstable |
Answer» C. order of accuracy is restricted to four | |
2. |
Which of these is used by the Adam-Bashforth method? |
A. | Newton s method |
B. | Frobenious covariant |
C. | Frobenious norm |
D. | Lagrange polynomial |
Answer» E. | |
3. |
The Adam-Bashforth method is ____________ |
A. | an explicit method |
B. | an implicit method |
C. | a first-order accurate method |
D. | a second-order accurate method |
Answer» B. an implicit method | |
4. |
To increase the order of accuracy, the multipoint method uses ___________ |
A. | highly stable two-level methods for prediction and correction |
B. | higher-order two-level methods for prediction and correction |
C. | additional points where data is already available |
D. | additional points where data is interpolated |
Answer» D. additional points where data is interpolated | |
5. |
The predictor-corrector method is maximum ___________ |
A. | second-order accurate |
B. | cannot be defined |
C. | third-order accurate |
D. | fourth-order accurate |
Answer» C. third-order accurate | |
6. |
The stability of the two-level predictor-corrector method matches with that of the __________ |
A. | midpoint rule |
B. | trapezoidal rule |
C. | backward Euler method |
D. | forward Euler method |
Answer» E. | |
7. |
The two-level predictor-corrector method is __________ |
A. | second-order accurate |
B. | first-order accurate |
C. | fourth-order accurate |
D. | third-order accurate |
Answer» B. first-order accurate | |
8. |
Which of these formulae is used for the corrector step of the two-level predictor-corrector method? |
A. | <sup>n+1</sup>= <sup>n</sup>+ ( frac{1}{3} ) [2f(t<sup>n</sup>, <sup>n</sup> )+f(t<sup>n+1</sup>, <sup>n+1*</sup>)] t |
B. | <sup>n+1</sup>= <sup>n</sup>+ ( frac{1}{2} ) [2f(t<sup>n</sup>, <sup>n</sup> )+f(t<sup>n+1</sup>, <sup>n+1*</sup>)] t |
C. | <sup>n+1</sup>= <sup>n</sup>+ ( frac{1}{3} ) [f(t<sup>n</sup>, <sup>n</sup> )+2f(t<sup>n+1</sup>, <sup>n+1*</sup>)] t |
D. | <sup>n+1</sup>= <sup>n</sup>+ ( frac{1}{2} ) [f(t<sup>n</sup>, <sup>n</sup> )+f(t<sup>n+1</sup>, <sup>n+1*</sup>)] t |
Answer» E. | |
9. |
In the two-level predictor-corrector method, the prediction is done using _____________ |
A. | trapezoidal rule |
B. | explicit Euler method |
C. | midpoint rule |
D. | implicit Euler method |
Answer» C. midpoint rule | |
10. |
The predictor-corrector method is a combination of ______________ |
A. | midpoint and trapezoidal rules |
B. | backward Euler method and Trapezoidal rule |
C. | implicit and explicit methods |
D. | forward and backward Euler methods |
Answer» D. forward and backward Euler methods | |