Date of this Version
Conference paper, ASTRONUM (Paris) 2019
Numerical stability of high-order fi lter schemes developed by Yee & Sjogreen is tested on thr~dimensional turbulence simulations with stochastic forcing and their performance is compared with that ofTVD and \VENO schemes. The bestperforming filter method employs an eighth-order central base scheme with the Kennedy & Gruber skew-symmetric splitting of the inviscid fttLx derivative, a wavelet-based local flow sensor, a nonlinear filter utilizing the dissipative portion of seventh-order \\'ENO scheme, and an explicit third- or fourth-order RungeKutta t ime integration. \Ve show that the filter scheme is more computational]y efficient and provides a wider spectral bandwidth compared to the seventh-order \VENO scheme. The method also demonstrates robust Jong-time integration for moderately compressible turbulence. In contrast, the the fifth- and seventhorder \¥ENO schemes show non-trivial evolution of the ve]ocity a.nd density power spectra. over a. few dozen dynamical times, where both TVD and filter schemes reoover a soHd statistically stationary turbulent st.ate.