Numerical Methods

1.1 Large-Eddy Simulation

The three-dimensional unsteady compressible Navier-Stokes equations are solved based on a large-eddy simulation (LES) using the MILES (monotone integrated LES) approach [3]. The vertex-centered finite-volume flow solver is block-structur­ed. A modified AUSM method is used for the Euler terms [18] which are discretized to second-order accuracy by an upwind-biased approximation. For the non-Euler terms a centered approximation of second-order is used. The temporal integration from time level n to n +1 is done by a second-order accurate explicit 5-stage Runge – Kutta method, the coefficients of which are optimized for maximum stability. For a detailed description of the flow solver the reader is referred to Meinke et al. [19].