On the use of shock-capturing schemes for large-eddy simulation. (English) Zbl 0949.76042
Summary: Numerical simulations of freely decaying isotropic fluid turbulence are performed at Mach numbers from 0.2 to 1.0 using known shock-capturing Euler schemes (Jameson, TVD-MUSCL, ENO). The objective is to evaluate the relevance of the use of such schemes in the large-eddy simulation (LES) context. The potential of the monotone integrated large-eddy simulation approach is investigated by carrying out computations without viscous diffusion terms. Although some known physical trends were respected, it is found that small scales of simulated flows suffer from high numerical damping. In a quasi-incompressible case, this numerical dissipation is tentatively interpreted in terms of turbulent dissipation, yielding the evaluation of equivalent Taylor micro-scales. The Reynolds numbers based on these are found between 30 and 40, depending on the scheme and on the resolution (up to \(128^3\)). The numerical dissipation is also interpreted in terms of subgrid-scale dissipation in a LES context, yielding equivalent Smagorinsky “constants” which do not level off with time, and which remain larger than the commonly accepted values of the classical Smagorinsky constant. On the grounds of tests with either the Smagorinsky or a dynamic model, the addition of explicit subgrid-scale model to shock-capturing Euler codes is not recommended.
MSC:
| 76F65 | Direct numerical and large eddy simulation of turbulence |
| 76F05 | Isotropic turbulence; homogeneous turbulence |
| 76M12 | Finite volume methods applied to problems in fluid mechanics |
Keywords:
freely decaying isotropic fluid turbulence; shock-capturing Euler schemes; large-eddy simulation; monotone integrated large-eddy simulation; quasi-incompressible case; turbulent dissipation; subgrid-scale dissipation; Smagorinsky constantReferences:
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