Question

Difference between the upwind line and the high-resolution scheme line gives __________

(a) the difference between the upwind and the downwind nodes

(b) the normalized difference between the cell face values

(c) the difference between the far upwind and the upwind nodes

(d) the difference between the far upwind and the downwind nodes

This question was posed to me in final exam.

This is a very interesting question from Deferred Correction for High-Resolution Schemes in chapter High Resolution Schemes of Computational Fluid Dynamics

Answer 1

The correct answer is (b) the normalized difference between the cell face values

The explanation: The effects of the deferred correction method can be seen in an NVD frame. The normalized difference between the cell face values is given by the difference between the upwind and the high-resolution scheme lines in the NVD.