Question

Which of these profiles is used by the FROMM scheme?

(a) Φ(x)=k0+k1 (x-xc)+k2 (x-xc)^2

(b) Φ(x)=k1 (x-xc )+k2 (x-xc)^2

(c) Φ(x)=k0+k1 (x-xc)

(d) Φ(x)=k1 (x-xc)

I have been asked this question by my college director while I was bunking the class.

The doubt is from Convection-Diffusion Problems in portion Convection-Diffusion Problems of Computational Fluid Dynamics

Answer 1

Right choice is (c) Φ(x)=k0+k1 (x-xc)

To explain I would say: The FROMM scheme uses a linear interpolation method to approximate the cell face values. So, Φ(x)=k0+k1 (x-xc) is the profile used by the FROMM scheme. But, the approach is different from the other profiles using a linear profile.