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A higher-order scheme which is not of high-resolution will have ____________

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A higher-order scheme which is not of high-resolution will have ____________

(a) overshoots

(b) undershoots

(c) undershoots and overshoots

(d) damping ratio

The question was posed to me in an interview for internship.

The doubt is from High Resolution Schemes topic in chapter High Resolution Schemes of Computational Fluid Dynamics

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The correct answer is (c) undershoots and overshoots

Easiest explanation: The major shortcoming of the higher order schemes is the unboundedness. This can be seen in the QUICK scheme. They tend to produce undershoots or overshoots and even oscillations near the sudden jumps or steep gradients in the variable.

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