Abstract
Numerical simulations of freely decaying isotropic turbulence were performed at two different Mach numbers (0.2 and 1.0) using known shock-capturing Euler schemes (Jameson, TVD-MUSCL, ENO). The potential of the Monotone Integrated Large-Eddy Simulation (MILES) approach was investigated by carrying out computations without viscous diffusion terms. These schemes are found very dissipative for the small scales. In a LES context, the numerical dissipation is interpreted in terms of subgrid-scale dissipation, yielding ‘equivalent Smagorinsky constant’ larger than the commonly accepted values of the classical Smagorinsky constant.
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References
S. Ghosal, An analysis of numerical errors in large-eddy simulations of turbulence, J. Comput. Phys. 125, 187 (1996).
A. G. Kravchenko and P. Moin, On the effect of numerical errors in large-eddy simulations of turbulent flows, J. Comput. Phys. 131, 310 (1997).
D.H. Porter, A. Pouquet and P.R. Woodward, Kolmogorov-like spectra in decaying three-dimensional supersonic flows, Phys. Fluids 6, (6), 2133 (1994).
J.P. Boris, F.F. Grinstein, E.S. Oran and R.L. Kolbe, New insights into large-eddy simulation, Fluid Dyn. Res. 10, 199 (1992).
C.W. Shu, Numerical experiments on the accuracy of ENO and Modified ENO schemes, J. Scient. Comput. 5, No. 2, 127 (1990).
X. D. Liu, S. Osher and T. Chan, Weighted Essentially Non-Oscillatory schemes, J. Comput. Phys. 115, 200 (1994).
C.W. Shu and S. Osher, Efficient implementation of Essentially Non-Oscillatory shock-capturing schemes II, J. Comput. Phys. 83, 32 (1989).
H.C. Yee, Construction of explicit and implicit symmetric TVD schemes and their applications, J. Comput. Phys. 68, 151 (1987).
A. Jameson, W. Schmidt and E. Turkel, Numerical simulation of the Euler equations by finite volume methods using Runge-Kutta time stepping schemes, AIAA Paper 81-1259, IAAA 5th Computation Fluid Dynamics Conference (1981).
E. Garnier, M. Mossi, P. Sagaut, P. Comte and M. Deville, On the use of shock-capturing scheme for Large-Eddy Simulation, submitted to J. Comput. Phys. (1998)
J. Smagorinsky, General circulation experiments with the primitive equations. I. — The basic experiment, Month. Weath. Rev. 91, (3), 99 (1963).
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© 1998 Springer-Verlag
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Garnier, E., Mossi, M., Sagaut, P., Comte, P., Deville, M. (1998). Shock-capturing schemes for L.E.S. applications. In: Bruneau, CH. (eds) Sixteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 515. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0106596
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DOI: https://doi.org/10.1007/BFb0106596
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