2019/02/13 by Emmanuel Motheau, Motheau, Emmanuel, John Wakefield +1
Engineering · #Aerodynamics and Acoustics in Jet Flows #Computational Fluid Dynamics and Aerodynamics #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis
paper · pdf · doi:10.48550/arxiv.1902.06666
openalex publication_date 2019/02/13 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28
In the Part 1 of the present paper the performance of several different low\nand high-order finite-volume methods were assessed by investigating how well\nthey can capture the turbulent spectra of a compressible flow where small\nsmooth turbulent structures interact with shocks and discontinuities. The\ncomparisons showed that a second-order Godunov method with PPM interpolation\nprovides results virtually the same as a fourth-order WENO scheme but at a\nsignificant lower cost. However, it is shown that the PPM method fails to\nprovide an accurate representation in the high-frequency range of the spectra.\nIn the present paper we show that this specific issue comes from the\nslope-limiting procedure and a novel hybrid PPM/WENO method is developed, which\nhas the ability to capture the turbulent spectra with the accuracy of a\nformally high-order method, but at the cost of the second-order Godunov method.\nOverall, it is shown that virtually the same physical solution can be obtained\nmuch faster by refining a simulation with the second-order method and carefully\nchosen numerical procedures, rather than running a coarse high-order\nsimulation.\n