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Which statement is correct?

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in Computational Fluid Dynamics by (118k points)
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

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Asked question is from Convection-Diffusion Problems topic in division Convection-Diffusion Problems of Computational Fluid Dynamics

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Best answer
Correct option is (b) The second-order upwind scheme is always stable

Best explanation: 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.

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