Computation of turbulent flow past an array of cylinders using a spectral method with Brinkman penalization

A major difficulty in computing engineering flows at high Reynolds number is the need for non-uniform grids adapted to solid boundaries that may be moving or changing shape. These non-uniform grids are expensive to calculate and cannot be used with the most accurate or efficient numerical schemes. We present one solution to this problem: a Brinkman (volume) penalization of the obstacle which allows an efficient pseudo-spectral method to be used …