 
			 
			MCQOPTIONS
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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 | |