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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»

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.



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