Which of these iterative processes is unstable? (Note: \(\epsilon_n\) is the error in the nth iteration).

\(\frac{\epsilon_{n+1}}{\epsilon_n} = 0.5\)

\(\frac{\epsilon_{n+1}}{\epsilon_n} = 0.75\)

\(\frac{\epsilon_{n+1}}{\epsilon_n} = 1.25\)

\(\frac{\epsilon_{n+1}}{\epsilon_n} = 1\)

If the order of a discretized equation is ‘k’, what does it mean?

The last term of the equation is of (k+1)th power

The last term of the equation is of kth power

Truncation error is proportional to (k-1)th power

Truncation error is proportional to kth power

Explore topic-wise MCQs in Computational Fluid Dynamics Questions and Answers.

This section includes 2 Mcqs, each offering curated multiple-choice questions to sharpen your Computational Fluid Dynamics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.

1.	Which of these iterative processes is unstable? (Note: \(\epsilon_n\) is the error in the nth iteration).
A.	\(\frac{\epsilon_{n+1}}{\epsilon_n} = 0.5\)
B.	\(\frac{\epsilon_{n+1}}{\epsilon_n} = 0.75\)
C.	\(\frac{\epsilon_{n+1}}{\epsilon_n} = 1.25\)
D.	\(\frac{\epsilon_{n+1}}{\epsilon_n} = 1\)
Answer» D. \(\frac{\epsilon_{n+1}}{\epsilon_n} = 1\)

Discussion

2.	If the order of a discretized equation is ‘k’, what does it mean?
A.	The last term of the equation is of (k+1)th power
B.	The last term of the equation is of kth power
C.	Truncation error is proportional to (k-1)th power
D.	Truncation error is proportional to kth power
Answer» E.

Discussion