Accession Number : ADA624791


Title :   Physics-based Stabilization of Spectral Elements for the 3D Euler Equations of Moist Atmospheric Convection


Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF APPLIED MATHEMATICS


Personal Author(s) : Marras, Simone ; Mueller, Andras ; Giraldo, Francis X


Full Text : http://www.dtic.mil/get-tr-doc/pdf?AD=ADA624791


Report Date : Jun 2014


Pagination or Media Count : 9


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 [Nazarov M. and Hoffman J. (2013), Int. J. Numer. Methods Fluids, 71:339-357.] to high-order 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.


Descriptors :   *ATMOSPHERE MODELS , EULER EQUATIONS , STABILIZATION


Subject Categories : Atmospheric Physics


Distribution Statement : APPROVED FOR PUBLIC RELEASE