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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. |
What happens when the convergence is not monotonic? |
| A. | Solutions will always converge |
| B. | Solutions will not converge |
| C. | Erroneous solutions may converge |
| D. | Error will increase |
| Answer» D. Error will increase | |
| 2. |
When is the Richardson extrapolation accurate? |
| A. | When the system is stable |
| B. | When the convergence is monotonic |
| C. | When the system is consistent |
| D. | When the system is linear |
| Answer» C. When the system is consistent | |
| 3. |
What does Richardson extrapolation do in finite difference schemes? |
| A. | Add the error estimate to the results of the finest grid |
| B. | Subtract the error estimate from the results of the finest grid |
| C. | Add the error estimate to the results of the current grid |
| D. | Subtract the error estimate from the results of the current grid |
| Answer» B. Subtract the error estimate from the results of the finest grid | |
| 4. |
What is Richardson extrapolation used for? |
| A. | To increase the accuracy |
| B. | To decrease the error |
| C. | To create convergence monotony |
| D. | To increase the rate of convergence |
| Answer» E. | |
| 5. |
How is the discretization error found? |
| A. | Difference between the solutions obtained from systematically refined grids |
| B. | Difference between the exact and the numerical solutions |
| C. | Difference between the exact solution and the solution from the refined grid |
| D. | Difference between the coarse grid solution and the exact solution |
| Answer» B. Difference between the exact and the numerical solutions | |
| 6. |
Information about the magnitude and distribution of the truncation error can be useful for ____________ |
| A. | correcting the error |
| B. | increasing the stability |
| C. | refining the grid |
| D. | converging the solution |
| Answer» D. converging the solution | |
| 7. |
Truncation error is the difference between __________ |
| A. | the exact solution of the partial differential equation and the discretized equations |
| B. | the exact partial differential equation and the discretized equations |
| C. | the exact solution and the numerical solution of the partial differential equations |
| D. | the exact partial differential equation and its solution |
| Answer» C. the exact solution and the numerical solution of the partial differential equations | |
| 8. |
The exact solution of the partial differential equation varies from the exact solution of the discretized equations by ___________ |
| A. | truncation error |
| B. | discretization error |
| C. | iteration error |
| D. | modelling error |
| Answer» C. iteration error | |
| 9. |
What is the source of discretization error in the finite difference method? |
| A. | Numerical error |
| B. | Round-off error |
| C. | Truncation error |
| D. | Modelling error |
| Answer» D. Modelling error | |
| 10. |
Which is the major error occurring due to the finite difference approximations? |
| A. | Discretization error |
| B. | Round-off error |
| C. | Iteration error |
| D. | Modelling errors |
| Answer» B. Round-off error | |