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Conservative Formulation of the k-epsilon Turbulence Model for Shock-Turbulence Interaction

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Title Conservative Formulation of the k-epsilon Turbulence Model for Shock-Turbulence Interaction
 
Creator SINHA, K
BALASRIDHAR, SJ
 
Subject BOUNDARY-LAYER INTERACTIONS
DIRECT NUMERICAL-SIMULATION
NAVIER-STOKES EQUATIONS
ISOTROPIC TURBULENCE
UNSTEADINESS MODEL
LINE RELAXATION
WAVE
NUMBER
FLOWS
 
Description Reynolds-averaged turbulence models can result in large numerical error at flow discontinuities like shock waves. This is due to the nonconservative nature of the source terms in the governing equations. In this paper, the k-epsilon turbulence model is used to compute the canonical interaction of a normal shock with homogeneous isotropic turbulence. The characteristics of the nonconservative error is studied as a function of shock strength, grid resolution, and upstream turbulence level. The model equations are cast in an equivalent conservation form that gives physically consistent results at a shock wave. The predicted amplifications of turbulent kinetic energy and its dissipation rate match direct numerical simulation data and linear theory estimates over a range of Mach numbers.
 
Publisher AMER INST AERONAUTICS ASTRONAUTICS
 
Date 2014-10-14T17:46:44Z
2014-10-14T17:46:44Z
2013
 
Type Article
 
Identifier AIAA JOURNAL, 51(8)1872-1882
http://dx.doi.org/10.2514/1.J052289
http://dspace.library.iitb.ac.in/jspui/handle/100/14604
 
Language en