Question

For a scheme to be bounded, its functional relationship should be ____________

(a) quadratic

(b) linear

(c) smooth

(d) continuous

I had been asked this question in an online quiz.

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

Answer 1

The correct option is (d) continuous

Easy explanation: For a scheme to be bounded, the relationship between the known and the unknown variable should be continuous. Representing in the NVF terms, the function \(\tilde{\phi_f}=f(\tilde{\phi_c})\) of a scheme should be continuous.