Development and evaluation of a hydrostatic dynamical core using the spectral element/discontinuous Galerkin methods
Loading...
Authors
Giraldo, F.X.
Choi, S.-J.
Subjects
Advisors
Date of Issue
2014-06-26
Date
June 26, 2014
Publisher
Copernicus Publications
Language
Abstract
In this paper, we present a dynamical core for the atmospheric primitive hydrostatic
equations using a unified formulation of spectral element (SE) and discontinuous
Galerkin (DG) methods in the horizontal direction with a finite difference (FD) method in the radial direction. The CG and DG horizontal discretization employs high-order
nodal basis functions associated with Lagrange polynomials based on Gauss–Lobatto–
Legendre (GLL) quadrature points, which define the common machinery. The atmospheric
primitive hydrostatic equations are solved on the cubed-sphere grid using the
flux form governing equations in a three-dimensional (3-D) Cartesian space. By using Cartesian space, we can avoid the pole singularity problem due to spherical coordinates
and this also allows us to use any quadrilateral-based grid naturally. In order to
consider an easy way for coupling the dynamics with existing physics packages, we use
a FD in the radial direction. The models are verified by conducting conventional benchmark
test cases: the Rossby–Haurwitz wavenumber 4, Jablonowski–Williamson tests for balanced initial state and baroclinic instability, and Held–Suarez tests. The results
from those tests demonstrate that the present dynamical core can produce numerical
solutions of good quality comparable to other models.
Type
Article
Description
The article of record as published may be found at http://dx.doi.org/10.5194/gmdd-7-4119-2014
Discussion Paper
Discussion Paper
Series/Report No
Department
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
R&D project on the development of global numerical weather prediction systems of Korea Institute of Atmospheric Prediction Systems (KIAPS) funded by Korea Meteorological Administration (KMA).
Office of Naval Research through program element PE-0602435N
National Science Foundation (Division of Mathematical Sciences) through program element 121670
Office of Naval Research through program element PE-0602435N
National Science Foundation (Division of Mathematical Sciences) through program element 121670
Funder
R&D project on the development of global numerical weather prediction systems of Korea Institute of Atmospheric Prediction Systems (KIAPS) funded by Korea Meteorological Administration (KMA).
Office of Naval Research through program element PE-0602435N
National Science Foundation (Division of Mathematical Sciences) through program element 121670
Office of Naval Research through program element PE-0602435N
National Science Foundation (Division of Mathematical Sciences) through program element 121670
Format
33 p.
Citation
Choi, S-J., and Francis X. Giraldo. "Development and evaluation of a hydrostatic dynamical core using the spectral element/discontinuous Galerkin methods." Geoscientific Model Development Discussions 7.3 (2014): 4119-4151.
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.