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Medientyp:
E-Artikel
Titel:
Analysis of Errors Occurring in Large Eddy Simulation
Beteiligte:
Geurts, Bernard J.
Erschienen:
The Royal Society, 2009
Erschienen in:
Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 367 (2009) 1899, Seite 2873-2883
Sprache:
Englisch
ISSN:
1364-503X
Entstehung:
Anmerkungen:
Beschreibung:
We analyse the effect of second-and fourth-order accurate central finite-volitfne discretizations on the outcome of large eddy simulations of homogeneous, isotropie, decaying turbulence at an initial Taylor-Reynolds number Reλ=100. We determine the implicit filter that is induced by the spatial discretization and show that a higher order discretization also induces a higher order filter, i. e. a low-pass filter that keeps a wider range of flow scales virtually unchanged. The effectiveness of the implicit filtering is correlated with the optimal refinement strategy as observed in an error-landscape analysis based on Smagorinsky's subfilter model. As a point of reference, a finite-volume method that is second-order accurate for both the convective and the viscous fluxes in the Navier-Stokes equations is used. We observe that changing to a fourth-order accurate convective discretization leads to a higher value of the Smagorinsky coefficient Cs required to achieve minimal total error at given resolution. Conversely, changing only the viscous flux discretization to fourth-order accuracy implies that optimal simulation results are obtained at lower values of Cs. Finally, a fully fourth-order discretization yields an optimal Cs that is slightly lower than the reference fully second-order method.