Question

Which of these is correct about the hybrid differencing scheme?

(a) It is conservative but not transportive

(b) It is conservative and transportive

(c) It is transportive but not conservative

(d) It is neither transportive nor conservative

This question was posed to me during an interview for a job.

The origin of the question is Convection-Diffusion Problems in chapter Convection-Diffusion Problems of Computational Fluid Dynamics

Answer 1

Right answer is (b) It is conservative and transportive

To elaborate: The hybrid differencing scheme is fully conservative. It satisfies the transportiveness condition by using upwind scheme for high Peclet numbers. So, the scheme is conservative and transportive as well.