Explore topic-wise MCQs in Computational Fluid Dynamics.

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 about the Adams-Moulton method is correct?

A. It involves the terms at the older time-step only
B. It involves the terms at the next time-step
C. It does not involve iterations
D. It does not involve older steps
Answer» C. It does not involve iterations
Discussion
2.

The Adams-Moulton scheme comes under ____________

A. Backward schemes
B. Forward schemes
C. Multipoint schemes
D. Runge-Kutta methods
Answer» D. Runge-Kutta methods
Discussion
3.

The Adams-Moulton scheme is __________

A. explicit
B. implicit
C. a two-level scheme
D. a three-level scheme
Answer» C. a two-level scheme
Discussion
4.

According to the Adams-Moulton scheme, the derivative of a function T at time-step t is given by _________

A. ( frac{3 T(t)+4T(t- Delta t)-T(t-2 Delta t)}{2 Delta t} )
B. ( frac{3 T(t)-4T(t- Delta t)-T(t-2 Delta t)}{2 Delta t} )
C. ( frac{3 T(t)+4T(t- Delta t)+T(t-2 Delta t)}{2 Delta t} )
D. ( frac{3 T(t)-4T(t- Delta t)+T(t-2 Delta t)}{2 Delta t} )
Answer» E.
Discussion
5.

For which of these problems is the Crank-Nicolson scheme unconditionally stable?

A. Compressible flows
B. Advection problems
C. Diffusion problems
D. Convection-Diffusion problems
Answer» D. Convection-Diffusion problems
Discussion
6.

For the transient convection problems, the Crank-Nicolson scheme is stable when _________

A. CFL<sup>conv</sup> 2
B. CFL<sup>conv</sup> 1
C. CFL<sup>conv</sup> -2
D. CFL<sup>conv</sup> -1
Answer» B. CFL<sup>conv</sup> 1
Discussion
7.

To find the values at the current time-step, the Crank-Nicolson scheme uses ___________

A. t- t and t+ t steps
B. t- t and t-2 t steps
C. t+ t and t+2 t steps
D. t and t+ t steps
Answer» C. t+ t and t+2 t steps
Discussion
8.

The Crank-Nicolson scheme is ________

A. fourth-order accurate
B. third-order accurate
C. second-order accurate
D. first-order accurate
Answer» D. first-order accurate
Discussion
9.

The approximation of the derivative taken by the Crank-Nicolson scheme is the same as the __________ of spatial derivative.

A. second order forward difference approximation
B. backward difference approximation
C. forward difference approximation
D. central difference approximation
Answer» E.
Discussion
10.

Which of these equations give the derivative of the function T at time t as given by the Crank-Nicolson scheme?

A. ( frac{T(t+ Delta t)-T(t- Delta t)}{2 Delta t} )
B. ( frac{T(t+ Delta t)+T(t- Delta t)}{2 Delta t} )
C. ( frac{T(t+ Delta t)-T(t- Delta t)}{ Delta t} )
D. ( frac{T(t+ Delta t)+T(t- Delta t)}{ Delta t} )
Answer» B. ( frac{T(t+ Delta t)+T(t- Delta t)}{2 Delta t} )
Discussion