Physics-based stabilization of spectral elements for the 3D euler equations of moist atmospheric convection

Simone Marras, Andreas Müller, Francis X. Giraldo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In the context of stabilization of high order spectral elements, we introduce a dissipative scheme based on the solution of the compressible Euler equations that are regularized through the addition of a residual-based stress tensor. Because this stress tensor is proportional to the residual of the unperturbed equations, its effect is close to none where the solution is sufficiently smooth, whereas it increases elsewhere. This paper represents a first extension of the work by Nazarov and Hoffman (Int J Numer Methods Fluids 71:339–357, 2013) to highorder spectral elements in the context of low Mach number atmospheric dynamics. The simulations show that the method is reliable and robust for problems with important stratification and thermal processes such as the case of moist convection. The results are partially compared against a Smagorinsky solution. With this work we mean to make a step forward in the implementation of a stabilized, high order, spectral element large eddy simulation (LES) model within the Nonhydrostatic Unified Model of the Atmosphere, NUMA.

Original languageEnglish (US)
Title of host publicationSpectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2014, Selected papers from the ICOSAHOM
EditorsRobert M. Kirby, Martin Berzins, Jan S. Hesthaven
PublisherSpringer Verlag
Pages355-363
Number of pages9
ISBN (Print)9783319197999
DOIs
StatePublished - 2015
Externally publishedYes
Event10th International Conference on Spectral and High-Order Methods, ICOSAHOM 2014 - Salt Lake City, United States
Duration: Jun 23 2014Jun 27 2014

Publication series

NameLecture Notes in Computational Science and Engineering
Volume106
ISSN (Print)1439-7358

Other

Other10th International Conference on Spectral and High-Order Methods, ICOSAHOM 2014
CountryUnited States
CitySalt Lake City
Period6/23/146/27/14

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

Fingerprint Dive into the research topics of 'Physics-based stabilization of spectral elements for the 3D euler equations of moist atmospheric convection'. Together they form a unique fingerprint.

Cite this