Large-Eddy Simulation of the Three-Dimensional Experiment on Richtmyer-Meshkov Instability Induced Turbulence
- 1 Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang, China
- 2 Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang, China
- 3 Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang, China
- 4 Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang, China
- 5 Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang, China
- 6 Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang, China
- 7 Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang, China
- 8 Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang, China
- 9 Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang, China
- 10 National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang, China
Abstract
A program MVFT3D of large-eddy simulation is developed and performed to solve the multi compressible Navier- Stokes equations. The SGS dissipation and molecular viscosity dissipation have been analyzed, and the former is much larger than the later. Our test shows that the SGS dissipation of Vreman model is smaller than the Smagorinsky model. We mainly simulate the experiment of fluid instability of shock-accelerated interface by Poggi in this paper. The decay of the turbulent kinetic energy before the first reflected shock wave–mixing zone interaction and its strong enhancement by re-shocks are presented in our numerical simulations. The computational mixing zone width under double re-shock agreement well with the experiment, and the decaying law of the turbulent kinetic energy is consistent with Mohamed and Larue’s investigation. Also, by using MVFT3D we give some simulation results of the inverse Chevron model from AWE. The numerical simulations presented in this paper allow us to characterize and better understand the Richtmyer-Meshkov instability induced turbulence, and the code MVFT3D is validated.
- P. B. Putanik, J. G. Oakley, M. H. Anderson and R. Bonazza, “Experimental Study of the Richtmyer-Mesh- kov Instability Induced by a Mach 3 Shock Wave,” Shock Waves, Vol. 13, No. 6, 2004, pp. 413-429.
- D. Arnett, “The Role of Mixing in Astrophysics,” Astrophysical Journal Supplement Series, Vol. 127, No. 2, 2000, pp. 213-217. doi:10.1086/313364
- M. Boulet and J. Griffond, “Three-Dimensional Numerical Simulation of Experiments on Richtmyer-Meshkov Induced Mixing with Reshock,” 10th International Work- shop on the Physics of Compressible Turbulent Mixing (IWPCTM), Paris, 17-21 July 2006.
- V. I. Kozlov, “Simulation of SW/Turbulence Interactions,” 10th International Workshop on the Physics of Compressible Turbulent Mixing (IWPCTM), Paris, 17-21 July 2006.
- B. Thornber, D. Drikakis and D. Youngs, “High Resolution Method for Planar Richtmyer-Meshkov Instabilities,” 10th International Workshop on the Physics of Compressible Turbulent Mixing (IWPCTM), Paris, 17-21 July 2006.
- F. Poggi, M. H. Thorembey and G. Rodriguez, “Velocity Measurements in Turbulent Gaseous Mixtures Induced by Richtmyer-Meshkov Instability,” Physics of Fluids, Vol. 10, No. 11, 1998, pp. 2698-2712. doi:10.1063/1.869794
- M. Claude and G. Serge, “Two-Dimensional Navier- Stokes Simulations of Gaseous Mixtures Induced by Richtmyer-Meshkov Instability,” Physics of Fluids, Vol. 12, No. 7, 2000, pp. 1783-1798.
- J. S. Bai, J. H. Liu, T. Wang, L. Y. Zou, P. Li and D. W. Tan, “Investigation of the Richtmyer-Meshkov Instability with Double Perturbation Interface in Nonuniform Flows,” Physical Review E, Vol. 81, No. 5, 2010, Article ID: 056302. doi:10.1103/PhysRevE.81.056302
- J. S. Bai, L. Y. Zou, T. Wang, K. Liu, W. B. Huang, J. H. Liu, P. Li, D. W. Tan and C. L. Liu, “Experimental and Numerical Study of the Shcok-Accelerated Elliptic Heavy Gas Cylinders,” Physical Review E, Vol. 82, No. 5, 2010, Article ID: 056318. doi:10.1103/PhysRevE.82.056318
- J. S. Bai, P. Li, T. Wang, B. Xie, M. Zhong and S. H. Chen, “Computation of Compressible Multi-Viscosity- Fluid Flows,” Explosion and Shock Waves, Vol. 27, No. 6, 2007, pp. 515-521 (in Chinese)
- W. Vreman, “An Eddy-Viscosity Subbgrid-Scale Model for Tubulent Shear Flow: Algebraic Theory and Applications,” Phys fluids, Vol. 16, No. 10, 2004, pp. 3670-3681. doi:10.1063/1.1785131
- J. Smagorinsky, “General Circulation Experiments with the Primitive Equations,” Monthly Weather Review, Vol. 91, No. 3, 1963, pp. 99-164. doi:10.1175/1520-0493(1963)091 2.3.CO;2