Explore topic-wise MCQs in Computational Fluid Dynamics.

This section includes 9 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.

Consider a system of equations where the ith equation is ai i=bi i+1+ci i-1+di. While solving this system using Thomas algorithm, we get i=Pi i+1+Qi. What are P1 and Q1?

A. (P_1= frac{d_1}{a_1-c_1};Q_1= frac{b_1}{a_1-c_1} )
B. (P_1= frac{b_1}{a_1-c_1};Q_1= frac{d_1}{a_1-c_1} )
C. (P_1= frac{d_1}{a_1};Q_1= frac{b_1}{a_1} )
D. (P_1= frac{b_1}{a_1};Q_1= frac{d_1}{a_1} )
Answer» E.
Discussion
2.

After finding all the values of Pi and Qi, in which order are the values of i found?

A. Forward
B. Simultaneously
C. Backwards
D. Depends on the problem
Answer» D. Depends on the problem
Discussion
3.

While solving a system of equations with the Thomas algorithm, in which order are the values of Pi and Qi found?

A. Backwards
B. Forward
C. Simultaneously
D. Depends on the problem
Answer» C. Simultaneously
Discussion
4.

Using the Thomas algorithm, if the ith unknown is i=Pi i+1+Qi. what is the last unknown value N equal to?

A. 0
B. P<sub>N</sub>
C. Q<sub>N</sub>
D. 1
Answer» D. 1
Discussion
5.

Let the ith equation of a system of n equations be ai i=bi i+1+ci i-1+di. Which of these is correct?

A. c<sub>N</sub>=0; b<sub>N</sub>=0
B. c<sub>N</sub>=0; b<sub>1</sub>=0
C. c<sub>1</sub>=0; b<sub>N</sub>=0
D. c<sub>1</sub>=0; b<sub>1</sub>=0
Answer» D. c<sub>1</sub>=0; b<sub>1</sub>=0
Discussion
6.

Consider a system of equations where the ith equation is ai i=bi (i+1)+ci (i+1)+di. While solving this system using Thomas algorithm, we get i=Pi (i+1)+Qi. What are Pi and Qi?

A. (P_i= frac{c_i Q_{i-1}+d_i}{a_i-c_i P_{i-1}};Q_i= frac{b_i}{a_i-c_i P_{i-1}} )
B. (P_i= frac{b_i}{a_i-c_i P_{i-1}};Q_i= frac{c_i Q_{i-1}+d_i}{a_i-c_i P_{i-1}} )
C. (P_i= frac{c_i Q_{i-1}+b_i}{a_i-c_i P_{i-1}};Q_i= frac{d_i}{a_i-c_i P_{i-1}} )
D. (P_i= frac{d_i}{a_i-c_i P_{i-1}};Q_i= frac{c_i Q_{i-1}+b_i}{a_i-c_i P_{i-1}} )
Answer» C. (P_i= frac{c_i Q_{i-1}+b_i}{a_i-c_i P_{i-1}};Q_i= frac{d_i}{a_i-c_i P_{i-1}} )
Discussion
7.

Thomas algorithm is _________

A. an analytical method
B. a direct method
C. an iterative method
D. a least squares method
Answer» D. a least squares method
Discussion
8.

Thomas algorithm can be used to solve __________

A. any matrix
B. all square matrices
C. only penta-diagonal matrices
D. only tri-diagonal matrices
Answer» E.
Discussion
9.

Thomas algorithm is a ___________

A. Linear equations solver
B. Quadratic equations solver
C. Discretization method
D. Linear least square system
Answer» B. Quadratic equations solver
Discussion