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Numerical assessment of a shock‐detecting sensor for low dissipative high‐order simulation of shock–vortex interactions
Author(s) -
Khoshab Masih,
Dehghan Ali Akbar,
Esfahanian Vahid,
Darian Hossein Mahmoodi
Publication year - 2014
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.3973
Subject(s) - shock (circulatory) , nonlinear system , vortex , filter (signal processing) , computer simulation , inviscid flow , dissipative system , shock wave , turbulence , dissipation , weighting , mechanics , computer science , physics , acoustics , medicine , quantum mechanics , computer vision , thermodynamics
SUMMARY 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.