Zonal disturbance region update method for steady compressible viscous flows

Abstract

The zonal disturbance region update method (zDRUM) presented in this work is an extension of the disturbance region update method (DRUM) to steady compressible viscous flows, capable of achieving convergence acceleration together with lower memory requirements. In the frame of DRUM and the zonal method, the new methodology taking advantage of the characteristics of the time-marching solution process employs two time-dependent dynamic computational domains where solely disturbed cells with non-convergent solutions are updated while the inviscid and the viscous flows are treated separately. A new data structure inspired by the pin art is introduced to store the dynamic computational domains more efficiently. Numerical results of six test cases in a wide range of Mach and Reynolds numbers demonstrate that, firstly, zDRUM accomplishes remarkable convergence speed for solving all compressible viscous flow problems, benefiting from the reduction in the computational effort per iteration; secondly, it is equally robust and efficient for different dimensions and flow types, for various reconstruction, spatial discretization and time-marching schemes; thirdly, it may reduce the maximum memory requirements.