LES-like stabilization of spectral elements for the solution of the Euler equations of moist stratified flows
Authors
Marras, Simone
Mueller, Andreas
Giraldo, Francis X.
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Advisors
Date of Issue
2014-10
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Monterey, California. Naval Postgraduate School
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Abstract
The solution of the Euler equations by the spectral element method is prone to instabilities that must be
damped in some way. We approach the problem of
stabilization via an adaptive Large-Eddy-Simulation-like
scheme meant to treat such instabilities by modeling the
sub-grid scale features of the flow. This is a novel
approach that is built on the recent work by Nazarov and
Hoffman [1,2], who defined this scheme to capture
turbulence in fully compressible flows resolved by
adaptive finite elements. The novelty of our effort lies in its
extension to high order spectral elements for low Mach
number stratified flows. This work is a step toward the
implementation of an LES model within the
Nonhydrostatic Unified Model of the Atmosphere (NUMA)
[3,4]. The method and the results reported in this poster
are detailed in [5].
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Poster
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Department
Applied Mathematics
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This work was supported by the Office of Naval Research through program element PE-0602435N, by the National Science Foundation (Division of Mathematical Sciences) through program element 121670, and by the Air Force Office of Scientific Research through the Computational Mathematics program. The first and second authors are supported by the National Academies through a National Research Council fellowship.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.