Refinement of the convective boundedness criterion of Gaskell and Lau

Based on the normalized variable diagram, the weakness of the Gaskell and Lau's convective boundedness criterion (GL-CBC) is revealed by numerical example. By careful consideration of the smoothness of the normalized variable variation pattern, more rigorous constraints on the interface value interpolation are found. A new CBC is thus proposed, whose feasibility and correctness are demonstrated by the inspection of ten existing bounded schemes and a numerical example.