A global non-hydrostatic dynamical core using the spectral element method on a cubed-sphere grid

2016 ◽  
Vol 52 (3) ◽  
pp. 291-307 ◽  
Author(s):  
Suk-Jin Choi ◽  
Song-You Hong
Keyword(s):  
Spectral Element Method ◽  
Spectral Element ◽  
Dynamical Core ◽  
Cubed Sphere ◽  
Element Method

scholarly journals Two conservative multi-tracer efficient semi-Lagrangian schemes for multiple processor systems integrated in a spectral element (climate) dynamical core

2016 ◽  
Vol 7 (3) ◽  
pp. 74-98 ◽  
Author(s):  
Christoph Erath ◽  
Mark A. Taylor ◽  
Ramachandran D. Nair
Keyword(s):  
Spectral Element Method ◽  
Spectral Element ◽  
Tracer Transport ◽  
Third Order ◽  
Dynamical Core ◽  
Community Atmosphere Model ◽  
High Scalability ◽  
Passive Tracers ◽  
Cubed Sphere ◽  
A Current

Abstract In today’s atmospheric numerical modeling, scalable and highly accurate numerical schemes are of particular interest. To address these issues Galerkin schemes, such as the spectral element method, have received more attention in the last decade. They also provide other state-of-the-art capabilities such as improved conservation. However, the tracer transport of hundreds of tracers, e.g., in the chemistry version of the Community Atmosphere Model, is still a performance bottleneck. Therefore, we consider two conservative semi-Lagrangian schemes. Both are designed to be multi-tracer efficient, third order accurate, and allow significantly longer time steps than explicit Eulerian formulations. We address the difficulties arising on the cubed-sphere projection and on parallel computers and show the high scalability of our approach. Additionally, we use the two schemes for the transport of passive tracers in a dynamical core and compare our results with a current spectral element tracer transport advection used by the High-Order Method Modeling Environment.

scholarly journals AMIP Simulation with the CAM4 Spectral Element Dynamical Core

2013 ◽  
Vol 26 (3) ◽  
pp. 689-709 ◽  
Author(s):  
K. J. Evans ◽  
P. H. Lauritzen ◽  
S. K. Mishra ◽  
R. B. Neale ◽  
M. A. Taylor ◽  
...  
Keyword(s):  
Spectral Element Method ◽  
Spectral Element ◽  
System Model ◽  
Energy Spectra ◽  
Model Intercomparison ◽  
Climate System Model ◽  
Dynamical Core ◽  
Intercomparison Project ◽  
Cubed Sphere ◽  
Mean Square Errors

Abstract The authors evaluate the climate produced by the Community Climate System Model, version 4, running with the new spectral element atmospheric dynamical core option. The spectral element method is configured to use a cubed-sphere grid, providing quasi-uniform resolution over the sphere and increased parallel scalability and removing the need for polar filters. It uses a fourth-order accurate spatial discretization that locally conserves mass and total energy. Using the Atmosphere Model Intercomparison Project protocol, the results from the spectral element dynamical core are compared with those produced by the default finite-volume dynamical core and with observations. Even though the two dynamical cores are quite different, their simulated climates are remarkably similar. When compared with observations, both models have strengths and weaknesses but have nearly identical root-mean-square errors and the largest biases show little sensitivity to the dynamical core. The spectral element core does an excellent job reproducing the atmospheric kinetic energy spectra, including fully capturing the observed Nastrom–Gage transition when running at 0.125° resolution.

scholarly journals The Implementation of Spectral Element Method in a CAE System for the Solution of Elasticity Problems on Hybrid Curvilinear Meshes

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Dmitriy Konovalov ◽  
Anatoly Vershinin ◽  
Konstantin Zingerman ◽  
Vladimir Levin
Keyword(s):  
Mathematical Simulation ◽  
High Performance ◽  
Spectral Element Method ◽  
New Technologies ◽  
Spectral Element ◽  
High Tech ◽  
Engineering Analysis ◽  
Elasticity Problems ◽  
Cae System ◽  
Element Method

Modern high-performance computing systems allow us to explore and implement new technologies and mathematical modeling algorithms into industrial software systems of engineering analysis. For a long time the finite element method (FEM) was considered as the basic approach to mathematical simulation of elasticity theory problems; it provided the problems solution within an engineering error. However, modern high-tech equipment allows us to implement design solutions with a high enough accuracy, which requires more sophisticated approaches within the mathematical simulation of elasticity problems in industrial packages of engineering analysis. One of such approaches is the spectral element method (SEM). The implementation of SEM in a CAE system for the solution of elasticity problems is considered. An important feature of the proposed variant of SEM implementation is a support of hybrid curvilinear meshes. The main advantages of SEM over the FEM are discussed. The shape functions for different classes of spectral elements are written. Some results of computations are given for model problems that have analytical solutions. The results show the better accuracy of SEM in comparison with FEM for the same meshes.

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