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On the eddy-resolving capability of high-order discontinuous Galerkin approaches to implicit LES / under-resolved DNS of Euler turbulence

Moura, R.C. ; Mengaldo, G. ; Peiró, J. ; Sherwin, S.J.

Journal of computational physics, 2017-02, Vol.330, p.615-623 [Revista revisada por pares]

Cambridge: Elsevier Inc

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On the eddy-resolving capability of high-order discontinuous Galerkin approaches to implicit LES / under-resolved DNS of Euler turbulence
Autor: Moura, R.C. ; Mengaldo, G. ; Peiró, J. ; Sherwin, S.J.
Materias: Accuracy ; Computational fluid dynamics ; Computational physics ; Computer simulation ; Diffusion ; Dispersion ; Dispersion–diffusion analysis ; Energy measurement ; Energy spectra ; Estimates ; Euler turbulence ; Galerkin method ; High-order discontinuous Galerkin ; Implicit LES ; Inviscid Taylor–Green vortex ; Mathematical models ; Rangefinding ; Reynolds number ; Riemann solver ; Robustness (mathematics) ; Solvers ; Spectral resolution ; Turbulence ; Under-resolved DNS ; Vortices ; Wavelengths
Es parte de: Journal of computational physics, 2017-02, Vol.330, p.615-623
Descripción: We present estimates of spectral resolution power for under-resolved turbulent Euler flows obtained with high-order discontinuous Galerkin (DG) methods. The ‘1% rule’ based on linear dispersion–diffusion analysis introduced by Moura et al. (2015) [10] is here adapted for 3D energy spectra and validated through the inviscid Taylor–Green vortex problem. The 1% rule estimates the wavenumber beyond which numerical diffusion induces an artificial dissipation range on measured energy spectra. As the original rule relies on standard upwinding, different Riemann solvers are tested. Very good agreement is found for solvers which treat the different physical waves in a consistent manner. Relatively good agreement is still found for simpler solvers. The latter however displayed spurious features attributed to the inconsistent treatment of different physical waves. It is argued that, in the limit of vanishing viscosity, such features might have a significant impact on robustness and solution quality. The estimates proposed are regarded as useful guidelines for no-model DG-based simulations of free turbulence at very high Reynolds numbers.
Editor: Cambridge: Elsevier Inc
Idioma: Inglés

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On the eddy-resolving capability of high-order discontinuous Galerkin approaches to implicit LES / under-resolved DNS of Euler turbulence

Moura, R.C. ; Mengaldo, G. ; Peiró, J. ; Sherwin, S.J.

Cambridge: Elsevier Inc

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