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.	Give the relationship between NVF and TVD. ( tilde{ phi_c} ) Normalized flow variable at the upwind node
A.	nr<sub>f</sub> Variable of flux limiter
B.	( tilde{ phi_c}= frac{1}{1-r_f} )
C.	( tilde{ phi_c}= frac{1}{1+r_f} )
D.	( tilde{ phi_c}= frac{r_f}{1-r_f} )
E.	( tilde{ phi_c}= frac{r_f}{1+r_f} )
Answer» E. ( tilde{ phi_c}= frac{r_f}{1+r_f} )

2.	What are the flux limiters for upwind and downwind schemes respectively?
A.	0 and 2
B.	0 and 1
C.	0 and
D.	1 and
Answer» B. 0 and 1

3.	The condition that the flux limiter of a scheme should satisfy to be TVD is __________
A.	<sub>r</sub>=min u2061(0.5r,r) & if r>0; <sub>r</sub>=0 & if r<0
B.	<sub>r</sub>=min u2061(r,1) & if r>0; <sub>r</sub>=0 & if r 0
C.	<sub>r</sub>=min u2061(2r,r) & if r>0; <sub>r</sub>=0 & if r 0
D.	<sub>r</sub>=min u2061(2r,2) & if r>0; <sub>r</sub>=0 & if r<0
Answer» D. <sub>r</sub>=min u2061(2r,2) & if r>0; <sub>r</sub>=0 & if r<0

4.	The Sweby s diagram is drawn in __________ plane.
A.	( ,r)
B.	( , ( tilde{ phi_c} ))
C.	( , ( tilde{ phi_f} ))
D.	( , ( tilde{ phi_d} ))
Answer» B. ( , ( tilde{ phi_c} ))

5.	The flux limiter is a function of __________
A.	the gradient at that central node
B.	the ratio of two consecutive gradients
C.	the product of two consecutive gradients
D.	the difference between two consecutive gradients
Answer» C. the product of two consecutive gradients

6.	Developing a TVD scheme relies upon _________
A.	the flux limiter
B.	the coefficients
C.	the PDE
D.	the convection terms
Answer» B. the coefficients

7.	Consider the discretized form of an equation given by ( frac{ partial( rho u phi)}{ partial x}=-a( phi_c- phi_u)+b( phi_d- phi_c). ) For this numerical scheme to be TVD, what is the condition?(Note: u, c and d are the flow variables at the far upwind, upwind and downwind schemes).
A.	a 0;b 0;0 a+b 1
B.	a 0;b 0;0 a+b 1
C.	a 0;b 0;0 a-b 1
D.	a 0; 0;0 a-b 1
Answer» B. a 0;b 0;0 a+b 1

8.	A Total Variation Diminishing (TVD) scheme is always __________
A.	continuous
B.	monotonic
C.	stable
D.	bounded
Answer» C. stable

9.	A numerical method is total variation diminishing if __________
A.	the total variation remains constant with increasing time
B.	the total variation increases with increasing time
C.	the total variation does not increase with increasing time
D.	the total variation decreases with increasing time
Answer» D. the total variation decreases with increasing time

10.	What is the total variation of a flow variable ( ) at a particular time step t?
A.	TV<sup>t</sup>= <sub>i</sub> <sub>i+1</sub>- <sub>i</sub>
B.	TV<sup>t</sup>= <sub>n</sub> <sub>n</sub>dn
C.	TV<sup>t</sup>= <sub>i</sub> <sub>(i+1)</sub> <sub>i</sub>
D.	TV<sup>t</sup>= <sub>i</sub> <sub>(i+1)</sub> <sub>i</sub>
Answer» E.