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dc.contributor.authorChoi, Suk-Jin
dc.contributor.authorGiraldo, Francis X.
dc.contributor.authorKim, Junghan
dc.contributor.authorShin, Seoleun
dc.dateApril 2014
dc.date.accessioned2015-07-02T22:05:20Z
dc.date.available2015-07-02T22:05:20Z
dc.date.issued2014-04
dc.identifier.urihttp://hdl.handle.net/10945/45513
dc.descriptionSubmitted to Monthly Weather Reviewen_US
dc.description.abstractThe non-hydrostatic (NH) compressible Euler equations of dry atmosphere are solved in a simplified two dimensional (2D) slice (X-Z) 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 numerical results demonstrate that the horizontally spectral element vertically finite difference model is accurate and robust. By using the 2D 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. The present core provides a practical framework for further development of three-dimensional (3D) non-hydrostatic compressible atmospheric models.en_US
dc.rightsThis 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.en_US
dc.titleVerification of a non-hydrostatic dynamical core using horizontally spectral element vertically finite difference method: 2D Aspectsen_US
dc.typeArticleen_US
dc.contributor.departmentApplied Mathematics


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