MCQOPTIONS

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.	The central differencing scheme gives good results when _____________
A.	the grid is coarse
B.	the grid is very fine
C.	the grid is Cartesian and uniform
D.	the gird is on-Cartesian
Answer» C. the grid is Cartesian and uniform

2.	The order of accuracy of the central differencing scheme is _____________
A.	fourth-order
B.	third-order
C.	second-order
D.	first-order
Answer» D. first-order

3.	The central difference scheme gives unphysical results when the problem is _____________
A.	depends on the boundary conditions
B.	equally dominated by diffusion and convection
C.	diffusive dominant
D.	convective dominant
Answer» E.

4.	The central differencing scheme becomes inconsistent when the Peclet number _____________
A.	is higher than 2
B.	is less than 2
C.	is higher than 5
D.	is less than 5
Answer» B. is less than 2

5.	Which of these is correct about the central differencing scheme?
A.	The importance of upwind and downwind nodes depends on the problem
B.	It gives more importance to the downwind nodes
C.	It gives equal importance to upwind and downwind nodes
D.	It gives more importance to the upwind nodes
Answer» D. It gives more importance to the upwind nodes

6.	The central difference approximation goes wrong when _____________
A.	Peclet number is negative
B.	Peclet number is positive
C.	Peclet number is low
D.	Peclet number is high
Answer» E.

7.	What is the relationship between \(\frac{\phi_c-\phi_w}{\phi_E-\phi_w}\) and the Peclet number (Pe) when the grid is uniform?
A.	\(\frac{\phi_c-\phi_w}{\phi_E-\phi_w} = \frac{1}{2}(1-\frac{Pe}{2}) \)
B.	\(\frac{\phi_c-\phi_w}{\phi_E-\phi_w} = \frac{1}{2}(1+\frac{Pe}{2}) \)
C.	\(\frac{\phi_c-\phi_w}{\phi_E-\phi_w} = \frac{1}{2}(\frac{Pe}{2}-1) \)
D.	\(\frac{\phi_c-\phi_w}{\phi_E-\phi_w} = (\frac{Pe}{4}) \)
E.	when the grid is uniform?a) \(\frac{\phi_c-\phi_w}{\phi_E-\phi_w} = \frac{1}{2}(1-\frac{Pe}{2}) \) b) \(\frac{\phi_c-\phi_w}{\phi_E-\phi_w} = \frac{1}{2}(1+\frac{Pe}{2}) \) c) \(\frac{\phi_c-\phi_w}{\phi_E-\phi_w} = \frac{1}{2}(\frac{Pe}{2}-1) \) d) \(\frac{\phi_c-\phi_w}{\phi_E-\phi_w} = (\frac{Pe}{4}) \)
Answer» B. \(\frac{\phi_c-\phi_w}{\phi_E-\phi_w} = \frac{1}{2}(1+\frac{Pe}{2}) \)

8.	What is the central differencing scheme similar to?
A.	Interpolation profile
B.	Linear interpolation profile
C.	Weighted average method
D.	Geometric mean
Answer» C. Weighted average method

9.	Consider the following stencil.Assume that the grid is a uniform Cartesian grid. What is φw as given by the central difference scheme?(Note: Φ represents the flow variable).
A.	Φc
B.	\(\frac{\phi_c+\phi_w}{2}\)
C.	\(\frac{\phi_c-\phi_w}{2}\)
D.	\(\frac{\phi_w-\phi_c}{2}\)
E.	.a) Φcb) \(\frac{\phi_c+\phi_w}{2}\) c) \(\frac{\phi_c-\phi_w}{2}\) d) \(\frac{\phi_w-\phi_c}{2}\)
Answer» C. \(\frac{\phi_c-\phi_w}{2}\)

10.	Consider the following stencil. What is Φe as given by the central difference scheme?(Note: Φ represents the flow variable).
A.	\(\phi_E = \phi_c-\frac{(\phi_E+\phi_c)}{(x_E-x_C)}(x_e-x_C)\)
B.	\(\phi_E = \phi_c+\frac{(\phi_E+\phi_c)}{(x_E-x_C)}(x_e-x_C)\) c) \(\phi_E = \phi_c+\frac{(\phi_E-\phi_c)}{(x_E-x_C)}(x_e-x_C)\) d) \(\phi_E = \phi_c-\frac{(\phi_E-\phi_
C.	}{(x_E-x_C)}(x_e-x_C)\) b) \(\phi_E = \phi_c+\frac{(\phi_E+\phi_c)}{(x_E-x_C)}(x_e-x_C)\) c) \(\phi_E = \phi_c+\frac{(\phi_E-\phi_c)}{(x_E-x_C)}(x_e-x_C)\)
D.	\(\phi_E = \phi_c-\frac{(\phi_E-\phi_c)}{(x_E-x_C)}(x_e-x_C)\)
E.	.a) \(\phi_E = \phi_c-\frac{(\phi_E+\phi_c)}{(x_E-x_C)}(x_e-x_C)\) b) \(\phi_E = \phi_c+\frac{(\phi_E+\phi_c)}{(x_E-x_C)}(x_e-x_C)\) c) \(\phi_E = \phi_c+\frac{(\phi_E-\phi_c)}{(x_E-x_C)}(x_e-x_C)\) d) \(\phi_E = \phi_c-\frac{(\phi_E-\phi_c)}{(x_E-x_C)}(x_e-x_C)\)
Answer» D. \(\phi_E = \phi_c-\frac{(\phi_E-\phi_c)}{(x_E-x_C)}(x_e-x_C)\)