DOI: 10.1615/TSFP8
A LINEAR-NONLINEAR SEPARATION METHOD FOR DIRECT NUMERICAL SIMULATION OF SHOCK-TURBULENCE INTERACTION
RÉSUMÉ
In this work, we propose a linear-nonlinear separation method, which hybridizes the 5th-order dispersion-dissipation-optimized WENO scheme in Hu et al. (2012) with its optimal linear scheme, for direct numerical simulation of shock-turbulence interaction. The method is based on the characteristic-wise formulation, by which the application of linear and nonlinear schemes are separated by measuring the non-resolvability of the linear scheme. Taking the advantage of characteristic-wise formulation, the measurement is formulated as a single universal non-dimensional number. Since the linear scheme omits the computation of the WENO weights, and most of the characteristic-projection operations, the scheme increase the overall computational efficiency greatly.