Question

To construct a high-resolution scheme, the monotonic profile in the range 0\(\leq\widetilde{\phi_c}\leq\)1 should pass through __________ in the NVD.

(a) points (0,0) and (0,1)

(b) points (1,0) and (1,1)

(c) points (0,1) and (1,1)

(d) points (0,0) and (1,1)

The question was asked in class test.

My question comes from High-Resolution Schemes topic in division High Resolution Schemes of Computational Fluid Dynamics

Answer 1

Correct choice is (d) points (0,0) and (1,1)

Explanation: In the NVD diagram, the monotonic profile in the range 0\(\leq\widetilde{\phi_c}\leq\)1 should connect the points (0,0) and (1,1) for a high-resolution scheme to be constructed. For the other ranges, the profile should follow the upwind scheme.