@inproceedings{48b6d659d5a344d881303d07f59fcc5c,
title = "An les-like stabilization of the spectral element solution of the euler equations for atmospheric flows",
abstract = "The solution of the Euler equations by the spectral element method (SEM) is subject to oscillatory behavior if the high-frequency modes are not damped in some way. In this analysis, we extend to high order spectral elements and to low-Mach number flows the recent work by Nazarov and Hoffman [20], where an LES-like physical diffusion acts both as a localized and controlled numerical stabilization for finite elements and as a turbulence model for compressible flows. In the framework of high-order SEM for the solution of the low-Mach number flows, this approach is a possible physics-based alternative to the variational multiscale stabilization (VMS) method that the authors successfully applied to the SEM solution of the advection diffusion equation [17] in the context of atmospheric flows. Like for VMS, stabilization is obtained by means of a residual-based term that is added to the inviscid Euler equations. Unlike VMS, however, this extra term is based on purely physical - rather than numerical-assumptions, in that it is related to the viscous component of the stress tensor of the Navier-Stokes equations. The method is tested with pseudo and fully 3D simulations of idealized nonhydrostatic atmospheric flows and is verified against data from the literature. This work represents a step toward the implementation of a stabilized, high order, spectral element LES model within the Nonhydrostatic Unified Model of the Atmosphere (NUMA) developed by the authors.",
keywords = "Euler equations, LES, Moist dynamics, Non-hydrostatic atmospheric flow, Spectral element method, Squall line simulations, Stabilization",
author = "Simone Marras and Andreas M{\"u}ller and Giraldo, {Francis X.}",
year = "2014",
month = jul,
day = "1",
language = "English (US)",
series = "11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014",
publisher = "International Center for Numerical Methods in Engineering",
pages = "5722--5743",
editor = "Eugenio Onate and Xavier Oliver and Antonio Huerta",
booktitle = "11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014",
note = "Joint 11th World Congress on Computational Mechanics, WCCM 2014, the 5th European Conference on Computational Mechanics, ECCM 2014 and the 6th European Conference on Computational Fluid Dynamics, ECFD 2014 ; Conference date: 20-07-2014 Through 25-07-2014",
}