Computational Fluid Dynamics Crank Nicolson Adams Moulton Schemes Online Exam Quiz
Computational Fluid Dynamics Crank Nicolson Adams Moulton Schemes GK Quiz. Question and Answers related to Computational Fluid Dynamics Crank Nicolson Adams Moulton Schemes. MCQ (Multiple Choice Questions with answers about Computational Fluid Dynamics Crank Nicolson Adams Moulton Schemes
According to the Adams-Moulton scheme, the derivative of a function T at time-step t is given by _________
Options
A : frac{3 T(t)+4T(t-Delta t)-T(t-2Delta t)}{2Delta t}
B : frac{3 T(t)-4T(t-Delta t)-T(t-2Delta t)}{2Delta t}
C : frac{3 T(t)+4T(t-Delta t)+T(t-2Delta t)}{2Delta t}
D : frac{3 T(t)-4T(t-Delta t)+T(t-2Delta t)}{2Delta t}
Which of these equations give the derivative of the function T at time t as given by the Crank-Nicolson scheme?
Options
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}
The Adams-Moulton scheme comes under ____________
Options
A : Backward schemes
B : Forward schemes
C : Multipoint schemes
D : Runge-Kutta methods
For the transient convection problems, the Crank-Nicolson scheme is stable when _________
Options
A : CFLconv?2
B : CFLconv?1
C : CFLconv?-2
D : CFLconv?-1
For which of these problems is the Crank-Nicolson scheme unconditionally stable?
Options
A : Compressible flows
B : Advection problems
C : Diffusion problems
D : Convection-Diffusion problems
The Adams-Moulton scheme is __________
Options
A : explicit
B : implicit
C : a two-level scheme
D : a three-level scheme
The Crank-Nicolson scheme is ________
Options
A : fourth-order accurate
B : third-order accurate
C : second-order accurate
D : first-order accurate
Which of these statements about the Adams-Moulton method is correct?
Options
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
The approximation of the derivative taken by the Crank-Nicolson scheme is the same as the __________ of spatial derivative.
Options
A : second order forward difference approximation
B : backward difference approximation
C : forward difference approximation
D : central difference approximation
To find the values at the current time-step, the Crank-Nicolson scheme uses ___________
Options
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
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