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http://dx.doi.org/10.20910/JASE.2018.12.5.40

Assessment of Turbulence Models with Compressibility Correction for Large Flow Separation in a Supersonic Convergent-Divergent Rectangular Nozzle  

Lee, Juyong (Department of Aerospace Engineering, Korea Aerospace University)
Shin, Junsu (Department of Aerospace Engineering, Korea Aerospace University)
Sung, Hong-Gye (School of Aerospace and Mechanical Engineering, Korea Aerospace University)
Publication Information
Journal of Aerospace System Engineering / v.12, no.5, 2018 , pp. 40-47 More about this Journal
Abstract
The objective of this study is to investigate the turbulence models with compressibility correction for large separation-flow in a supersonic convergent-divergent rectangular nozzle. As turbulence models, Yang and Shih's Low-Re $k-{\varepsilon}$ model, Mener's $k-{\omega}$ SST model and Wilcox's $k-{\omega}$model were evaluated. In order to get a significant compressible effects, Sarkar and Wilcox compressibility correction models were applied to the turbulence models respectively. Also, the simulation results were compared with experimental data. The turbulence model with compressibility correction model improves both of shock position and pressure recovery, but deteriorates the length of Mach disk.
Keywords
Convergent-Divergent Rectangular Nozzle; Turbulence Model; Compressibility Correction; Separated Flow;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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1 C. A. Hunter, "Experimental, Theoretical, and Computational Investigation of Separated Nozzle Flows," AIAA-98-307, 1998
2 A. Balabel, A. M. Hegab, M. Nast, Samy M. El-Behery, "Assessment of turbulence modeling for gas flow in two-dimensional convergent-divergent rocket nozzle," Applied Mathematical Modeling, Vol. 35, No. 7, pp. 3408-3422, 2011.   DOI
3 K. S. Abdol-Hamid, Alaa Elmiligui, Craig A. Hunter, "Numerical Investigation of Flow in an Over expanded Nozzle with Porous Surface," Journal of Aircraft, Vol. 43, No. 4, pp. 1217-1225, 2006.   DOI
4 Wilcox, D. C., "Reassessment of the Scale-Determining Equation for Advanced Turbulence Models," AIAA Journal, Vol. 26, No. 11, pp. 1299-1310, 1988.   DOI
5 Yang, Z., Shih, T. H., "New Time Scale Based $k-{\varepsilon}$ Model for Near-Wall Turbulence," AIAA Journal, Vol. 31, No. 7, pp. 18-25, 2013.
6 Menter, F. R., "Two-Equation Eddy -Viscosity Turbulence Models for Engineering Application," AIAA Journal, Vol. 32, No. 8, pp. 1598-1605, 1994.   DOI
7 Sarkar, S., Erlebacher, B., Hussaini, M., Kreiss, H., "The Analysis and Modeling of Dilatational Terms in Compressible Turbulence," Journal of Fluid Mechanics, Vol. 227, pp. 473-493, 1991.
8 Wilcox, D. C., Turbulence Modeling for CFD, 2nd ed., DCW Industries, La Canada, California, 2002
9 Sung H. G., Kim S. J., Yeom H. Y., Heo J. Y., "On the Assessment of Compressibility Effects of Two-Equation Turbulence Models for Supersonic Transition Flow with Flow Separation," International Journal of Aeronautical and Space Science, Vol. 14, No. 4, pp. 387-397, 2013.   DOI
10 Sung H. G., Yeom H. W., Yoon S. K. Kim S. J., Kim J. G., "Inverstigation of Rocket Exhaust Diffusers for Altitude Simulation," Journal of Propulsion and Power, Vol. 26, No. 2, pp. 240-247, 2010.   DOI
11 Heo J. Y., Jung J. Y., Sung H. G., Yang J. S., Lee J. H., "Compressibility Correction Effects of Two-equation Turbulence Models for a Supersonic Through-type Pintle Nozzle with Large Scale Separation Flow," Journal of the Korean Society of Propulsion Engineers, Vol. 17, No. 1, pp. 61-69, 2013.   DOI
12 Yoon, S., Jameson, A., "Lower-Upper Symmetric Gauss-Seidel Method for the Euler and Navier-Stokes Equations," AIAA Journal, Vol. 26, No. 9, pp. 1025-1026, 1998.   DOI
13 Kim, K. H., Kim, C. A., Rho, O. H., "Methods for the Accurate Computations of Hypersonic Flow I. AUSMPW+ Scheme," Journal of Computational Physics, Vol. 174, pp. 38-80, 2001.   DOI
14 S. Kim, S. Lee, K. Kim, "Wavenumber-extended high-order oscillation control finite volume schemes for multi-dimensional aeroacoustic computations," Journal of Computational Physics, Vol. 227, pp. 4089-4122, 2008.   DOI
15 Hsieh, S. Y., Yang, V., "A Preconditioned flux-differencing scheme for chemically reacting flows at all Mach numbers," International Journal of Computational Fluid Dynamics, Vol. 3, pp. 31-49, 1997.