Question

In the Normalized Variable Diagram (NVD), all the second-order and third-order schemes pass through the point ________________

(a) (0,1)

(b) (0.5,0.5)

(c) (0.5, 0.75)

(d) (1,1)

I have been asked this question in my homework.

This key question is from High Resolution Schemes topic in chapter High Resolution Schemes of Computational Fluid Dynamics

Answer 1

Correct option is (c) (0.5, 0.75)

The explanation: Except for the first-order accurate schemes, the profiles of all the schemes pass through (0.5, 0.75) in the NVD. For a scheme to be second-order accurate, it must pass through this point. For a scheme to be third-order accurate, its slope at the point (0.5, 0.75) should be 0.75.