Publications Related to NUMA

 
 

NSEAM


The precursor to  NUMA was the Navy’s Spectral Element Atmospheric Model (NSEAM). NSEAM is a complete atmospheric model with all the necessary sub-grid scale parameterizations and real orography. NSEAM is a hydrostatic global atmospheric model that uses surface pressure, momentum, and potential temperature for its prognostic variables; spectral elements are used in the horizontal and centered finite differences in the vertical; the model uses explicit, semi-implicit BDF2 and LF2 time-integrators; is fully MPI capable; and has been used for idealized dry dynamics tests as well as more realistic aquaplanet simulations. Below is a list of papers related to NSEAM.


Journal Articles


  1. 1.  A spectral element shallow water mode on spherical geodesic grids (Giraldo_IJNMF_2001.pdf)

  2. 2. A spectral element semi-Lagrangian method for the spherical shallow water equations (Giraldo_et_al_JCP_2003.pdf)

  3. 3. A scalable spectral element Eulerian atmospheric model (SEE-AM) for NWP: dynamical core tests (Giraldo_Rosmond_MWR_2004.pdf)

  4. 4. Semi-implicit time-integrators for a scalable spectral element atmospheric model (Giraldo_QJRMS_2005.pdf)

  5. 5. A sensitivity study of the Kelvin wave and Madden-Julian Oscillation in aquaplanet simulations by the Naval Research Laboratory spectral element atmospheric model (KimEtal_JGR_2008.pdf)



NUMA2D


The first NUMA papers appeared in 2008. From 2008 through 2010, all the NUMA papers appearing involved the 2D (x-z slice) Euler equations. All the theory and numerical implementations were first developed in 2D. The following is the list of the NUMA2D papers that have appeared:


Journal Articles


  1. 1.A study of spectral elements and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: equation sets and test cases (Giraldo_Restelli_JCP_2008.pdf)

  2. 2.A conservative discontinuous Galerkin semi-implicit formulation for the Navier-Stokes equations in nonhydrostatic mesoscale modeling (Restelli_Giraldo_SISC_2009.pdf)

  3. 3.Semi-implicit formulations of the Navier-Stokes equations: applications to nonhydrostatic atmospheric modeling (Giraldo_et_al_SISC_2010.pdf)

  4. 4.Testing refinement criteria in adaptive discontinuous Galerkin simulations of dry atmospheric convection (Mueller_et_al_JCP_2011.pdf)

  5. 5.An element-based spectrally-optimized approximate inverse preconditioner for the Euler equations (CarrBorgesGiraldo_Rev2_26Apr2012.pdf)

  6. 6.Dry and moist idealized experiments with a two-dimensional spectral element model(Gabersek_et_al_MWR_2011.pdf)

  7. 7.Variational Multiscale Stabilization and p-adaptivity of High-Order Spectral Elements for the Convection-Diffusion Equation (Marras_etal_JCP_2011.pdf)

  8. 8.M.A. Kopera and F.X. Giraldo, Analysis of Adaptive Mesh Refinement for IMEX Discontinuous Galerkin Solutions of the Compressible Euler Equations with Application in to  Atmospheric Simulations, Journal of Computational Physics (in review 2013) (Kopera_Giraldo_JCP_2013_submitted.pdf)



NUMA3D


NUMA2D is an exact replica of NUMA3D; however, NUMA3D is a fully parallel MPI (messaging passing interface) code.  NUMA3D was begun in earnest in December of 2009. The following is the list of the NUMA3D papers that have appeared:


Journal Articles


  1. 1.F.X. Giraldo, J.F. Kelly and E.M. Constantinescu, Implicit-Explicit Formulations for a 3D Nonhydrostatic Unified Model of the Atmosphere (NUMA), SIAM J. Sci. Comp. (in press 2013) (Giraldo_et_al_SISC_2013_Final.pdf)


  1. 2.J.F. Kelly and F.X. Giraldo, Continuous and Discontinuous Galerkin Methods for a Scalable 3D Nonhydrostatic Atmospheric Model:  limited-area mode, J. Comp. Phys., Vol. 231, 7988-8008 (2012) (Kelly_Giraldo_JCP_2012_published.pdf)


Conference Proceedings


  1. 1.Cluster Computing 2011: Scalability of semi-implicit time-integrators for nonhydrostatic Galerkin-based atmospheric models on large-scale clusters (cluster2011_JK.pdf)


Presentations


  1. 1.Oberwolfach Talk, August 12, 2010: Development of the Nonhydrostatic Unified Model of the Atmosphere (NUMA)  (Oberwolfach_August_2010.pdf)

  2. 2.ESPC Talk, September 9, 2010: Current and Future Development of the Nonhydrostatic Unified Model of the Atmosphere (NUMA)  (ESPC_v7.pdf)

  3. 3.NUMA Highlights Briefing, March 2011: Nonhydrostatic Unified Model of the Atmosphere (NUMA)  (NUMA_Highlights.pdf)

  4. 4.Johannes Gutenberg University, Mainz Germany, September 2011: The Development of the Nonhydrostatic Unified Model of the Atmosphere, (Mainz_2011_v2.pdf)