Research On Numerical Simulation Of Flow Based On Preconditioning Method

Preconditioning method was studied in this paper, for simulating inviscid and viscous low speed flows. Euler solver was developed based 2d structural grid, in which finite volume center method and four-stage Runge-Kutta time-stepping scheme were applied. Convergence rate was accelerated by means of local time-stepping and implicit residual smoothing. The solver simulates compressible flows such as flow past an airfoil successfully. To make the solver can be used in low speed flows, preconditioning method was investigated, the basic characteristics of which were decribed in this paper. The solver was preconditioned by different preconditioning methods. The developed codes were used to simulate the steady inviscid low speed flows past an airfoil in free stream and a bump through a channel. Then, the method was extend to the Navier-Stokes equations to simulate viscous flows past a cylinder and cavity. Calculated results were compared with the literature, demonstrating the convergence of different preconditioning methods and calculation results.