Question

The checkerboard problem arises due to __________

(a) linear interpolation in a staggered grid

(b) quadratic interpolation in a staggered grid

(c) linear interpolation in a collocated grid

(d) quadratic interpolation in a collocated grid

This question was addressed to me in an online interview.

The query is from Incompressible Flows topic in section Incompressible Flows & Compressible Flows of Computational Fluid Dynamics

Answer 1

Correct option is (c) linear interpolation in a collocated grid

For explanation I would say: The decoupling between the pressure and velocity values at the cell level happens due to linear interpolation used in the collocated grid. This gives rise to the checkerboard problem in the collocated grids.