Schemes and Parameters in 2D Vortex Simulation

Abstract

Dependence of flow features in two-dimensional (2D) vortex simulation on time-integration scheme is studied. Three types of scheme are applied to a flow past an impulsively started flat plate set normal to the freestream; the first-order Euler scheme, the second-order Adams-Bashforth scheme and the fourth-order Runge-Kutta scheme. Calculated results are compared with experiments. The Adams-Bashforth scheme and the Runge-Kutta scheme prove to give flow features close to each other, while the Euler scheme gives somewhat different results from the others. As to the temporal growth of separation bubbles, the Euler scheme gives the best agreement with experiments. Effects of parameters such as the numerical core-radius and the time-step are also studied.