MCQOPTIONS
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MCQOPTIONS
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 statements is correct regarding the Adams-Moulton scheme used on the non-uniform grids? |
| A. | The current central coefficient for the finite difference and the finite volume schemes are the same |
| B. | The current central coefficient for the uniform and the non-uniform grid is the same |
| C. | The variation in time-steps does not result in any change |
| D. | There is no variation in the values when the grid is uniform |
| Answer» B. The current central coefficient for the uniform and the non-uniform grid is the same | |
| 2. |
The general discretised form of the transient term using the finite volume approach isFluxT=FluxC C+FluxC C +FluxV. |
| A. | nThe superscript o indicates the older time step. If the Crank-Nicolson method is used with non-uniform grids, what is FluxV? |
| B. | (- frac{ Delta t^{oo}}{ Delta t^o} frac{ rho_c^{oo} V_C phi_c^{oo}}{ Delta t} ) |
| C. | ( frac{ Delta t^{oo}}{ Delta t^o+ Delta t^{oo}} frac{ rho_c^{oo} V_C phi_c^{oo}}{ Delta t} ) |
| D. | (- frac{ Delta t^{oo}}{ Delta t^o+ Delta t^{oo}} frac{ rho_c^{oo} V_C phi_c^{oo}}{ Delta t} ) |
| E. | ( frac{ Delta t^{oo}}{ Delta t^o} frac{ rho_c^{oo} V_C phi_c^{oo}}{ Delta t} ) |
| Answer» D. (- frac{ Delta t^{oo}}{ Delta t^o+ Delta t^{oo}} frac{ rho_c^{oo} V_C phi_c^{oo}}{ Delta t} ) | |
| 3. |
Which of these is correct for the non-uniform time-steps?(Note: t is the distance between the centroids of two temporal elements. t is the size of a temporal element. The superscript o indicates the older time step). |
| A. | ( delta t= frac{( Delta t- Delta t^o)}{2} ) |
| B. | ( delta t= frac{( Delta t+ Delta t^o)}{2} ) |
| C. | t= t |
| D. | t= t |
| Answer» C. t= t | |
| 4. |
If the Adams-Moulton scheme is used with the finite difference approach to get the discretized equation of the transient term with the non-uniform grid, what is the central coefficient of the current time-step?(Note: is the density and V the volume). |
| A. | (( frac{1}{ Delta t^o}+ frac{1}{ Delta t+ Delta t^o}) rho_C V_C ) |
| B. | (( frac{1}{ Delta t}+ frac{1}{ Delta t^{oo}+ Delta t^o}) rho_C V_C ) |
| C. | (( frac{1}{ Delta t}+ frac{1}{ Delta t+ Delta t^{oo}}) rho_C V_C ) |
| D. | (( frac{1}{ Delta t}+ frac{1}{ Delta t+ Delta t^o}) rho_C V_C ) |
| Answer» E. | |
| 5. |
If the Crank-Nicolson scheme is used with the finite difference approach to get the discretized equation of the transient term with the non-uniform grid, what is the central coefficient of the second previous time-step?(Note: is the density and V the volume). |
| A. | ( frac{ Delta t^o}{ Delta t( Delta t+ Delta t^o)} rho_C^{oo}V_C ) |
| B. | ( frac{ Delta t( Delta t+ Delta t^o)}{ Delta t Delta t^o} rho_C^{oo}V_C ) |
| C. | ( frac{ Delta t+2 Delta t^o}{( Delta t+ Delta t^o)} rho_C^{oo}V_C ) |
| D. | ( frac{ Delta t}{ Delta t^o( Delta t+ Delta t^o)} rho_C^{oo}V_C ) |
| Answer» E. | |
| 6. |
If the Crank-Nicolson scheme is used with the finite difference approach to get the discretized equation of the transient term with the non-uniform grid, what is the central coefficient of the previous time-step?(Note: is the density and V the volume). |
| A. | ( frac{ Delta t- Delta t^o}{ Delta t+ Delta t^o} rho_C V_C ) |
| B. | ( frac{ Delta t- Delta t^o}{ Delta t+ Delta t^o} rho_C^o V_C ) |
| C. | ( frac{ Delta t- Delta t^o}{ Delta t+ Delta t^o} rho_C^o ) |
| D. | ( frac{ Delta t+ Delta t^o}{ Delta t- Delta t^o} rho_C^o V_C ) |
| Answer» C. ( frac{ Delta t- Delta t^o}{ Delta t+ Delta t^o} rho_C^o ) | |
| 7. |
Which of these statements is correct about the variable time-steps? |
| A. | The finite volume and finite difference schemes do not yield equivalent algebraic equations |
| B. | The finite volume scheme yields equivalent algebraic equations irrespective of the non-uniformity |
| C. | The finite difference scheme yields equivalent algebraic equations irrespective of the non-uniformity |
| D. | All the second-order schemes result in the same algebraic equation when the grid is non-uniform |
| Answer» B. The finite volume scheme yields equivalent algebraic equations irrespective of the non-uniformity | |
| 8. |
Which of these characteristics of the Crank-Nicolson scheme is affected by the non-uniform transient grids? |
| A. | Consistency |
| B. | Convergence |
| C. | Stability |
| D. | Accuracy |
| Answer» E. | |
| 9. |
For which of these schemes is the interpolation profile need not be modified for the non-uniform transient grid? |
| A. | Downwind scheme |
| B. | Upwind scheme |
| C. | Crank-Nicolson scheme |
| D. | second-order schemes |
| Answer» D. second-order schemes | |
| 10. |
Discretization of the transient term is not affected by uniform or non-uniform grids when _________ |
| A. | the scheme is downwind |
| B. | the scheme is upwind |
| C. | the scheme is first-order |
| D. | the scheme is second-order |
| Answer» D. the scheme is second-order | |