This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
A New Framework for Modeling Shock-Turbulence Interactions
Technical Paper
2020-01-5092
ISSN: 0148-7191, e-ISSN: 2688-3627
This content contains downloadable datasets
Annotation ability available
Sector:
Event:
Automotive Technical Papers
Language:
English
Abstract
The objective of this study is to develop a robust framework to model shock-turbulence interactions that happen in many engineering applications dealing with compressible flows. The model is essentially a hybrid algorithm to address the conflict between turbulence modeling and shock-capturing requirements. A skew-symmetric form of a co-located finite volume scheme with minimum aliasing errors is implemented to model the turbulent region in the combination of a semi-discrete, central scheme to capture the discontinuities with sufficiently low dissipation to minimize the effect of large eddy simulation (LES) for turbulent flows. To evaluate the effectiveness of the model, LESs are conducted to study the interaction of stationary shocks with turbulent flows. The simulations of the shock-turbulence interaction show the same physical trends as previously published results for high-fidelity DNS and LES. From a quantitative point of view, the amplification of vorticity fluctuations and Reynolds stresses are slightly lower for the present model than formerly published results, which can be due to the implementation of the high dissipative shock-capturing scheme.
Recommended Content
Topic
Citation
Zangeneh, R., "A New Framework for Modeling Shock-Turbulence Interactions," SAE Technical Paper 2020-01-5092, 2020, https://doi.org/10.4271/2020-01-5092.Data Sets - Support Documents
Title | Description | Download |
---|---|---|
Unnamed Dataset 1 |
Also In
References
- Dolling , D.S. , and Or , C.T. Unsteadiness of the Shock Wave Structure in Attached and Separated Compression Ramp Flows Exp. Fluids 3 1 24 32 1985
- Andreopoulos , J. , and Muck , K.C. Some New Aspects of the Shock-Wave Boundary Layer Interaction in Compression Ramp Corner J. Fluid Mech. 180 405 428 1987
- Smits , A.J. , and Muck , K.C. Experimental Study of Three Shock Wave/Turbulent Boundary Layer Interactions J. Fluid Mech 182 291 314 1987
- Ribner , H.S. 1953
- Ribner , H.S. Acoustic Energy Flux from Shock-Turbulence Interaction J. Fluid Mech 35 2 299 310 1969
- Lee , S. , Lele , S.K. , and Moin , P. Interaction of Isotropic Turbulence with Shockwaves: Effects of Shock Strength J. Fluid Mech 340 225 347 1997
- Lee , S. , Lele , S.K. , and Moin , P. Direct Numerical Simulation of Isotropic Turbulence Interacting with a Weak Shock Wave J. Fluid Mech 251 533 548 1993
- Mahesh , K. , Lee , S. , Lele , S.K. , and Moin , P. The Influence of Entropy Fluctuations on the Interaction of Turbulence with Shock Wave J. Fluid Mech 334 353 369 1997
- Erlebacher , G. , Hussaini , M.Y. , and Shu , C.W. Interaction of a Shock with a Longitudinal Vortex J. Fluid Mech 337 129 153 1997
- Friedrich , R. , and Hannapel , R. Shock Turbulence Interaction ERCOFTAC Bull 334 353 369 1997
- Guichard , L. , Vervisch , L. , and Domingo , P. Numerical Study of the Interaction between a Mixing Zone and a Pressure Discontinuity Washington, DC AIAA https://doi.org/10.2514/6.1995-877
- Ducros , F. , Ferrand , V. , Nicoud , F. , Weber , C. et al. Large-Eddy Simulation of the Shock/Turbulence Interaction J. Computational Physics 152 517 549 1999
- Tian , Y. , Jaberi , F.A. , Li , Z. , and Livescu , D. Numerical Study of Variable Density Turbulence Interaction with a Normal Shock Wave J. Fluid Mech 829 551 588 2017
- Jamme , S. , Cazalbou , J.B. , Torres , F. , and Chassaing , P. Direct Numerical Simulation of the Interaction between a Shock Wave and Various Types of Isotropic Turbulence Flow Turbul. Combust. 68 3 227 268 2002
- Larsson , J. , Bermejo-Moreno , I. , and Lele , S.K. Reynolds-and Mach-Number Effects in Canonical Shock-Turbulence Interaction J. Fluid Mech. 717 293 321 2013
- Larsson , J. , Lele , S.K. , Torres , F. , and Chassaing , P. Direct Numerical Simulation of Canonical Shock/Turbulence Interaction Phys. Fluids. 21 12 227 268 2009
- Ryu , J. , and Livescu , D. Turbulence Structure behind the Shock in Canonical Shock-Vortical Turbulence Interaction J. Fluid Mech. 756 227 268 2014
- Braun , N.O. , Meiron , D.I. , and Pullin , D.I. Large Eddy Simulation Investigation of the Canonical Shock-Turbulence Interaction 858 500 535 2019
- Van Leer , B. Towards the Ultimate Conservative Difference Scheme, V: A Second-Order Sequel to Godunov’s Method J. Comput. Phys. 32 101 136 1979
- Colella , P. , and Woodward , P. The Piecewise Parabolic Method (PPM) for Gas-Dynamical Simulations J. Comput. Phys. 54 174 201 1984
- Harten , A. , Engquist , B. , Osher , S. , and Chakravarthy , S.R. Uniformly High Order Accuracy Essentially Non-Oscillatory Schemes III J. Comput. Phys. 71 231 303 1987
- Liu , X.D. , Osher , S. , and Chan , T. Weighted Essentially Non-Oscillatory Schemes J. Comput. Phys. 115 200 212 1994
- Cockburn , B. , and Shu , C.W. The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V: Multidimensional Systems J. Comput. Phys. 141 199 224 1998
- Mittal , R. , and Moin , P. Suitability of Upwind-Biased Finite Difference Schemes for Large-Eddy Simulation of Turbulent Flows AIAA J. 35 8 1415 1997
- Gatski , T.B. , and Bonnet , J.P. Compressibility, Turbulence and High Speed Flow Amsterdam Elsevier 2013 https://doi.org/978-0-12-397027-5
- Hirsch , C. Numerical Computation of Internal and External Flows 1 Chichester Wiley 1989
- Fureby , C. , Tabor , G. , Weller , H.G. , and Gosman , A.D. A Comparative Study of Subgrid Scale Models in Homogeneous Isotropic Turbulence Phys. Fluids 9 5 1416 1429 1997
- Rogallo , R.S. , and Moin , P. Numerical Simulation of Turbulent Flows Ann. Rev. Fluid Mech. 16 99 137 1984
- Versteeg , H.K. , and Malalasekera , W. Introduction to Computational Fluid Dynamics Harlow, Essex Pearson 2007 978-0-13-127498-3
- Kennedy , C. , and Gruber , A. Reduced Aliasing Formulations of the Convective Terms within the Navier-Stokes Equations for a Compressible Fluid J. Comput. Phys. 227 1676 1700 2008
- Pirozzoli , S. , and Turkel , E. Numerical Methods for High-Speed Flows Annual Review of Fluid Mechanics. 43 1 163 194 2011
- Swanson , R.C. , and Turkel , E. On Central-Difference and Upwind Schemes J. Comput. Phys. 101 292 306 1992
- Modesti , D. , and Pirozzoli , S. A Low-Dissipative Solver for Turbulent Compressible Flows on Unstructured Meshes, with OpenFOAM Implementation J. Computers and Fluids. 152 14 23 2017
- Kurganov , A. , and Tadmor , E. New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection-Diffusion Equations J. Comput. Phys. 180 241 282 2000
- Kurganov , A. , Noelle , S. , and Petrova , G. Semi-Discrete Central-Upwind Scheme for Hyperbolic Conservation Laws and Hamilton-Jacobi Equations SIAM J. Sci. Comput. 23 707 740 2001
- Greenshields , C.J. , Weller , H.G. , Gasparini , L. , and Reese , J.M. Implementation of Semi-Discrete, Non-Staggered Central Schemes in a Colocated, Polyhedral, Finite Volume Framework, for High-Speed Viscous Flows Int. J. Numer. Meth. Fluids 63 1 1 21 2010 https://doi.org/10.1002/fld.2069
- Kurganov , A. , and Petrova , G. Central-Upwind Schemes on Triangular Grids for Hyperbolic Systems of Conservation Laws Numerical Methods for Partial Differential Equations 21 536 552 2005
- van Leer , B. Towards the Ultimate Conservative Difference Scheme, II: Monotonicity and Conservation Combined in a Second Order Scheme J. Comput. Phys. 17 361 370 1974
- Kurganov , A. , and Lin , C.T. Simple on the Reduction of Numerical Dissipation in Central-Upwind Schemes Communication in Comp. Physics. 2 1 141 163 2007
- Greenshields , C. 2020
- Comte-Bellot , G. , and Corrsin , S. Simple Eulerian Time Correlation of Full-and Narrow-Band Velocity Signals in Gridgenerated, ‘Isotropic’ Turbulence J. Fluid. Mech. 48 2 273 337 1971
- Freund , J.B. Proposed Inflow/Outflow Boundary Condition for Direct Computation of Aerodynamic Sound J. Fluid. Mech. AIAA J. 35 4 740 742 1997
- Yoshizawa , A. , and Horiuti , K. A Statistically-Derived Subgrid-Scale Kinetic Energy Model for the Large-Eddy Simulation of Turbulent Flows Journal of the Physical Society of Japan 54 8 2834 2839 1985