Which statement is correct?

A The second-order upwind scheme is never stable
B The second-order upwind scheme is always stable
C The second-order upwind scheme is conditionally stable
D The second-order upwind scheme is always unstable

Correct Answer: The second-order upwind scheme is always stable

The numerical stability of a scheme can be analysed by using the rate of change of influx. If the derivative of the influx with respect to the flow variable is negative, the scheme is stable. For the second-order upwind scheme, this is always negative.
Bissoy MCQ
#Computational Fluid Dynamics #Convection-Diffusion Problems #Second Order Upwind Scheme

Related Questions

Below is given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.Statements: In a one-day cricket match, the total runs made by a team were 200. Out of these 160 runs were made by spinners.Conclusions: I. 80% of the team consists of spinners. II. The opening batsmen were spinners.
A Only conclusion I follows.
B Only conclusion II follows.
C Either I or II follows.
D Neither I or II follows.
Below is given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement. Statements: The old order changed yielding place to new.Conclusions: I. Change is the law of nature II. Discard old ideas because they are old.
A Only conclusion I follows.
B Only conclusion II follows.
C Either I or II follows.
D Neither I or II follows.
Which of the following is correct? Statement A. The system of insurance benefits individual, family and the society Statement B. Insurance companies could invest in speculative ventures.
A A is correct
B B is correct
C Both A & B
D None of the above
Which of the following statement is correct according to Clausis statement of second law of thermodynamics?
A It is possible to transfer heat from a body at a lower temperature to a body at a higher temperature.
B It is impossible to transfer heat from a body at a lower temperature to a body at a higher temperature, without the aid of an external source.
C It is possible to transfer heat from a body at a lower temperature to a body at a higher temperature by using refrigeration cycle.
D None of the above
In the following question, only statement is grammatically correct.Identify the correct one.
A Are these gloves belonging to you?She asked.
B Dose this gloves belonging to you?She asked.
C Do these gloves belonging to you?She asked.
D Do these glove belonging to you?She asked.
Each of the following problem has a question and two statements which are labeled 1. and. Use the data given in 1. and 2. to decide whether the statements are sufficient to answer the question.Select one of the following . a.Statements (1) ALONE is sufficient,but (2) ALONE is not sufficient. b.Statements (2) ALONE is sufficient,but (1) ALONE is not sufficient. c. Both statement TOGETHER are sufficient but statement alone is sufficient . A fly crawls around the outside of a circle once.A second fly crawls around the outside of a square once.Which fly travels further ? (1) The diagonal of the square is equal to the diagonal of the circle.(2) The fly crawling around the circle took more time to complete has journey than the fly cawing around the square.
A A
B B
C C
D D
"If birds are singing it must be spring." The statement can be true for which of the following statement .
A Birds are singing
B It is spring
C Birds sing only in spring
D Birds do not sing unless they are happy
Read both the statements and then mark your answer.Statement I: The government has recently fixed the fees for professional courses offered by the unaided institutions which are much lower than the fees charged last year.Statement II: The parents of the aspiring students launched a severe agitation last year protesting against the high fees charged by the unaided institutions.
A Statement I is the cause and Statement II is its effect
B Statement II is the cause and Statement I is its effect
C Both the Statement I and II are independent cause
D Both the Statement I and II are independent are effect of some common cause
Each of the following problem has a question and two statements which are labeled 1. and. Use the data given in 1. and 2. to decide whether the statements are sufficient to answer the question.Select one of the following . a.Statements (1) ALONE is sufficient,but (2) ALONE is not sufficient. b.Statements (2) ALONE is sufficient,but (1) ALONE is not sufficient. c. Both statement TOGETHER are sufficient but statement alone is sufficient . What is the volume of rectangular box S? (1) The total surface of S is 22.(2) The rectangular box S is a cube
A A
B B
C C
D D
Each of the following problem has a question and two statements which are labeled 1. and. Use the data given in 1. and 2. to decide whether the statements are sufficient to answer the question.Select one of the following . a.Statements (1) ALONE is sufficient,but (2) ALONE is not sufficient. b.Statements (2) ALONE is sufficient,but (1) ALONE is not sufficient. c. Both statement TOGETHER are sufficient but statement alone is sufficient .How many minutes are there is time period T? (1) Time period T extends from 12.00 midnight to 12.00 noon.(2) Time period T is 2 hours and 180 seconds long.
A A
B B
C C
D D

Next steps