Theoretical and numerical studies on compressible turbulent flows with shock waves

2016 Fiscal Year Final Research Report

• Project/Area Number: 26420109
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Fluid engineering
• Research Institution: Kyoto University
• Principal Investigator: Ohwada Taku 京都大学, 工学研究科, 准教授 (40223987)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Keywords: Shock capturing / high order accuracy / carbuncle phenomenon / post shock oscillations / contact discontinuity / turbulence

Outline of Final Research Achievements

The interaction between a Rankine vortex and a normal shock wave was numerically analyzed and acceptable agreement between the BGK solution and the NS shock-capturing one was confirmed except around the shock wave, which suggests that shock-turbulence interaction can be well analyzed by conventional shock capturing apporach when Kolmogorov scale is two orders of magnitude larger than the mean free path of gas molecules.
We developed a high order accurate shock-capturing scheme aiming to application to shock-turbulence interaction. The scheme is endowed with strong robustness against shock anomalies and capture a contact-discontinuity sharply. Its computational cost is about 60 percent of WENO scheme, which is often employed in numerical simulations of shock-turbulence interactions.

Free Research Field

流体力学