Numerical assessment of a shock‐detecting sensor for low dissipative high‐order simulation of shock–vortex interactions |
| |
| Authors: | Masih Khoshab Ali Akbar Dehghan Vahid Esfahanian Hossein Mahmoodi Darian |
| |
| Institution: | 1. Faculty of Mechanical Engineering, Yazd University, Daneshgah Blv., Safa‐ieh, Yazd, Iran;2. Faculty of Mechanical Engineering, College of Engineering, University of Tehran, Campus 2, North Kargar Ave., Tehran, Iran;3. Faculty of Basic Engineering Science, College of Engineering, University of Tehran, 16 Azar Street, Enghlab Avenue, Tehran, Iran |
| |
| Abstract: | Considering the importance of high‐order schemes implementation for the simulation of shock‐containing turbulent flows, the present work involves the assessment of a shock‐detecting sensor for filtering of high‐order compact finite‐difference schemes for simulation of this type of flows. To accomplish this, a sensor that controls the amount of numerical dissipation is applied to a sixth‐order compact scheme as well as a fourth‐order two‐register Runge–Kutta method for numerical simulation of various cases including inviscid and viscous shock–vortex and shock–mixing‐layer interactions. Detailed study is performed to investigate the performance of the sensor, that is, the effect of control parameters employed in the sensor are investigated in the long‐time integration. In addition, the effects of nonlinear weighting factors controlling the value of the second‐order and high‐order filters in fine and coarse non‐uniform grids are investigated. The results indicate the accuracy of the nonlinear filter along with the promising performance of the shock‐detecting sensor, which would pave the way for future simulations of turbulent flows containing shocks. Copyright © 2014 John Wiley & Sons, Ltd. |
| |
| Keywords: | shock‐detecting sensor shock capturing shock– vortex interaction nonlinear filter high‐order scheme |
|
|
