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SUMMARY:A Variational Multiscale Stabilized Finite Element Method to solve
  the Euler Equations for Nonhydrostatic Stratified Benchmarks - Margarida 
 Moragues\,   (Barcelona Supercomputing Center (BSC-CNS))
DTSTART:20120926T085000Z
DTEND:20120926T091500Z
UID:TALK40145@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:In this talk we present a Variational Multiscale Stabilization
  (VMS) for Compressible\nEuler Equations applied to the Finite Element (FE
 ) solution of nonhydrostatic stratified\nflows. The VMS method was firstly
  presented by Hughes and co-workers [1] in the context\nof incompressible 
 flows. In the present work\, recentely presented in [3]\, we extend\nthese
  concepts to Compressible Flows. In the framework of nonhydrostatic atmosp
 heric\ndynamics\, we test the algorithm for problems at low Mach numbers. 
  \nA general version of the current compressible VMS technique was origina
 lly devised\nfor Computational Fluid Dynamics (CFD) of compressible flows 
 without stratification [2].\nThe present work is justified by the previous
 ly observed good performance of VMS and\nby the advantages that an element
 -based Galerkin formulation offers on massively parallel\narchitectures\, 
 a challange for both CFD and Numerical Weather Prediction (NWP).\nUnphysic
 al vertical oscillations that may appear for not well-balanced approximati
 ons\nare a relevant problem in NWP\, especially in the proximity of steep 
 topography. In that respect\, to properly discretize the dominant hydrosta
 tics\, a particular interpolation technique is proposed.  \nTo evaluate th
 e performance of the method in this context\, some standard test cases of\
 nstratified environments are presented.\n\nReferences\n[1] T. Hughes\, Mul
 tiscale Phenomena: Greens functions\, the Dirichlet-to-Neumann formulation
 \,\nsubgrid scale models\, bubbles and the origins of stabilized methods\,
  CMAME 127 (1995)\n387401.\n\n[2] M. Moragues\, M. Vazquez\, G. Houzeaux\,
  R. Aubry\, Variational Multiscale Stabilization of Compressible flows in 
 Parallel Architectures\, Parallel CFD 2010\, Taiwan\, May 2010.\n\n[3] S. 
 Marras\, M. Moragues\, M. Vazquez\, O. Jorba\, G. Houzeaux\, A Variational
  Multiscale\nStabilized Finite Element Method for the Solution of the Eule
 r Equations of Nonhydrostatic\nStratified Flows\, J. Comput. Phys. (submit
 ted 2012)\n
LOCATION:Seminar Room 1\, Newton Institute
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