Verification of a non-hydrostatic dynamical core using horizontally spectral element vertically finite difference method: 2-D aspects
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Authors
Giraldo, F.X.
Choi, S.-J.
Kim, J.
Shin, S.
Subjects
Advisors
Date of Issue
2014-06-10
Date
June 10, 2014
Publisher
Copernicus Publications
Language
Abstract
The non-hydrostatic (NH) compressible Euler equations of dry atmosphere are solved
in a simplified two dimensional (2-D) slice framework employing a spectral element
method (SEM) for the horizontal discretization and a finite difference method (FDM) for the vertical discretization. The SEM uses high-order nodal basis functions associated
with Lagrange polynomials based on Gauss–Lobatto–Legendre (GLL) quadrature
points. The FDM employs a third-order upwind biased scheme for the vertical flux
terms and a centered finite difference scheme for the vertical derivative terms and
quadrature. The Euler equations used here are in a flux form based on the hydrostatic pressure vertical coordinate, which are the same as those used in the Weather Research
and Forecasting (WRF) model, but a hybrid sigma-pressure vertical coordinate
is implemented in this model. We verified the model by conducting widely used standard
benchmark tests: the inertia-gravity wave, rising thermal bubble, density current
wave, and linear hydrostatic mountain wave. The results from those tests demonstrate that the horizontally spectral element vertically finite difference model is accurate and
robust. By using the 2-D slice model, we effectively show that the combined spatial
discretization method of the spectral element and finite difference method in the horizontal
and vertical directions, respectively, offers a viable method for the development
of a NH dynamical core.
Type
Article
Description
The article of record as published may be found at http://dx.doi.org/10.5194/gmdd-7-3717-2014
Discussion Paper
Discussion Paper
Series/Report No
Department
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
KIAPS, the Office of Naval Research through program element PE-0602435N
National Science Foundation (Division of Mathematical Sciences) through program element 121670
National Science Foundation (Division of Mathematical Sciences) through program element 121670
Funding
Korea’s Numerical Weather Prediction Model Development Project approved by Ministry of Science, ICT and Future Planning (MSIP)
KIAPS, the Office of Naval Research through program element PE-0602435N
National Science Foundation (Division of Mathematical Sciences) through program element 121670
KIAPS, the Office of Naval Research through program element PE-0602435N
National Science Foundation (Division of Mathematical Sciences) through program element 121670
Format
34 p.
Citation
Choi, S-J., et al. "Verification of a non-hydrostatic dynamical core using horizontally spectral element vertically finite difference method: 2-D aspects." Geoscientific Model Development Discussions 7 (2014): 3717-3750.
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.