Re-examining the QUICKEST algorithm for two-dimensional incompressible fluids



Davis and Moore's two-dimensional QUICKEST algorithm is presented in detail to give an explicit description of how upwinding terms are treated based on flow direction. Among the finite difference methods used in fluid dynamics, QUICKEST is easy to implement and remains stable over long times and a wide range of Reynolds numbers. By giving a comprehensive discussion of all the aspects of this algorithm, including staggered grids, advancing velocity in time, enforcing incompressibility, and choice of boundary conditions, the main challenges to coding are overcome. Vortex shedding simulations are shown for Reynolds numbers from 250 to 10 000 and times as high as 288 s. Comparisons were made for Strouhal number with Davis and Moore's results as well as the experimental data of others. Streakline plots and coefficients of drag and lift were also compared with their original paper. To further test the algorithm, additional simulations were made for flow over a backward-facing step and Poiseuille flow. Copyright © 2010 John Wiley & Sons, Ltd.