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On the use of kinetic energy preserving DG-schemes for large eddy simulation. (arXiv:1706.07601v1 [math.NA])
来源于:arXiv
High Order DG methods with Riemann solver based interface numerical flux
functions offer an interesting dispersion dissipation behaviour: dispersion
errors are very low for a broad range of scales, while dissipation errors are
very low for well resolved scales and are very high for scales close to the
Nyquist cutoff. This observation motivates the trend that DG methods with
Riemann solvers are used without an explicit LES model added. Due to
under-resolution of vortical dominated structures typical for LES type setups,
element based high order methods suffer from stability issues caused by
aliasing errors of the non-linear flux terms. A very common strategy to fight
these aliasing issues (and instabilities) is so-called polynomial de-aliasing,
where interpolation is exchanged with projection based on an increased number
of quadrature points. In this paper, we start with this common no-model or
implicit LES (iLES) DG approach with polynomial de-aliasing and Riemann solver
dissipation an 查看全文>>