DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Impact and importance of hyperdiffusion on the spectral element method: A linear dispersion analysis

Journal Article · · Journal of Computational Physics

Not Available

Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0014669
OSTI ID:
1775891
Journal Information:
Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: C Vol. 375; ISSN 0021-9991
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (40)

Residual-based artificial viscosity for simulation of turbulent compressible flow using adaptive finite element methods: RESIDUAL-BASED ARTIFICIAL VISCOSITY FOR COMPRESSIBLE FLOW journal March 2012
Dispersion analysis of the spectral element method
  • Melvin, Thomas; Staniforth, Andrew; Thuburn, John
  • Quarterly Journal of the Royal Meteorological Society, Vol. 138, Issue 668 https://doi.org/10.1002/qj.1906
journal February 2012
Understanding the treatment of waves in atmospheric models. Part 1: The shortest resolved waves of the 1D linearized shallow-water equations: Understanding the Treatment of Waves: Part 1 journal November 2013
The ICON (ICOsahedral Non-hydrostatic) modelling framework of DWD and MPI-M: Description of the non-hydrostatic dynamical core
  • Zängl, Günther; Reinert, Daniel; Rípodas, Pilar
  • Quarterly Journal of the Royal Meteorological Society, Vol. 141, Issue 687 https://doi.org/10.1002/qj.2378
journal June 2014
The Canadian Global Environmental Multiscale model on the Yin-Yang grid system journal August 2011
A Spectral Element Basin Model for the Shallow Water Equations journal November 1993
The Spectral Element Method for the Shallow Water Equations on the Sphere journal January 1997
The Lagrange–Galerkin Spectral Element Method on Unstructured Quadrilateral Grids journal November 1998
Family of spectral filters for discontinuous problems journal June 1991
A Review of Element-Based Galerkin Methods for Numerical Weather Prediction: Finite Elements, Spectral Elements, and Discontinuous Galerkin journal May 2015
A spectral element method for fluid dynamics: Laminar flow in a channel expansion journal June 1984
One step integration methods of third-fourth order accuracy with large hyperbolic stability limits journal June 1984
The variational multiscale method—a paradigm for computational mechanics journal November 1998
A semi-Lagrangian discontinuous Galerkin method for scalar advection by incompressible flows journal July 2006
Idempotent filtering in spectral and spectral element methods journal December 2006
Nonhydrostatic icosahedral atmospheric model (NICAM) for global cloud resolving simulations journal March 2008
A compatible and conservative spectral element method on unstructured grids journal August 2010
Continuous and discontinuous Galerkin methods for a scalable three-dimensional nonhydrostatic atmospheric model: Limited-area mode journal October 2012
Variational multiscale stabilization of high-order spectral elements for the advection–diffusion equation journal August 2012
Dispersive behaviour of high order finite element schemes for the one-way wave equation journal February 2014
Exploring the Effects of a High-order Vertical Coordinate in a Non-hydrostatic Global Model journal January 2015
NCAR Release of CAM‐SE in CESM2.0: A Reformulation of the Spectral Element Dynamical Core in Dry‐Mass Vertical Coordinates With Comprehensive Treatment of Condensates and Energy journal July 2018
Global optimization of explicit strong-stability-preserving Runge-Kutta methods journal September 2005
Convergence of Spectral Methods for Nonlinear Conservation Laws journal February 1989
Dispersive and Dissipative Behavior of the Spectral Element Method journal January 2009
Implicit-Explicit Formulations of a Three-Dimensional Nonhydrostatic Unified Model of the Atmosphere (NUMA) journal January 2013
The Spectral Element Atmosphere Model (SEAM): High-Resolution Parallel Computation and Localized Resolution of Regional Dynamics journal March 2004
A “Vertically Lagrangian” Finite-Volume Dynamical Core for Global Models journal October 2004
Aquaplanet Experiments Using CAM’s Variable-Resolution Dynamical Core journal July 2014
Dry and Moist Idealized Experiments with a Two-Dimensional Spectral Element Model journal October 2012
A Multiscale Nonhydrostatic Atmospheric Model Using Centroidal Voronoi Tesselations and C-Grid Staggering journal September 2012
Optimized Icosahedral Grids: Performance of Finite-Difference Operators and Multigrid Solver journal December 2013
Staggered Vertical Discretization of the Canadian Environmental Multiscale (GEM) Model Using a Coordinate of the Log-Hydrostatic-Pressure Type journal March 2014
CAM-SE: A scalable spectral element dynamical core for the Community Atmosphere Model journal November 2011
DCMIP2016: a review of non-hydrostatic dynamical core design and intercomparison of participating models journal January 2017
Verification of a non-hydrostatic dynamical core using the horizontal spectral element method and vertical finite difference method: 2-D aspects journal January 2014
The spectral element method (SEM) on variable-resolution grids: evaluating grid sensitivity and resolution-aware numerical viscosity journal January 2014
A global finite-element shallow-water model supporting continuous and discontinuous elements journal January 2014
DYNAMICO-1.0, an icosahedral hydrostatic dynamical core designed for consistency and versatility journal January 2015
A high-order staggered finite-element vertical discretization for non-hydrostatic atmospheric models journal January 2016

Similar Records

Nonlinear artificial viscosity for spectral element methods
Journal Article · 2019 · Comptes Rendus. Mathématique · OSTI ID:1559376

Linear-nonlinear interface for finite element impact analysis
Journal Article · 1981 · J. Eng. Power; (United States) · OSTI ID:5135860

The arbitrary‐order virtual element method for linear elastodynamics models: convergence, stability and dispersion‐dissipation analysis
Journal Article · 2020 · International Journal for Numerical Methods in Engineering · OSTI ID:1804784

Related Subjects