<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></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.

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

TU Darmstadt, Department of Mathematics, Dolivostraße 15, 64293 Darmstadt,

Sandia National Laboratories, Albuquerque, NM, 87185,

National Center for Atmospheric Research, 1850 Table Mesa Drive, Boulder, CO 80305,

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In today’s atmospheric numerical modeling, scalable and highly accurate numerical schemes are of particular interest. To address these issues Galerkin schemes,...

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

Published Online: Oct 01, 2016

Page range: 74 - 98

Received: Jun 12, 2015

Accepted: Jul 29, 2015

DOI: https://doi.org/10.1515/caim-2016-0023

Keywords
transport scheme, spherical geometry, cubed-sphere grid, conservative semi-Lagrangian, spectral element method, error, parallel scalability, performance

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Oct 01, 2016

Page range: 74 - 98

Received: Jun 12, 2015

Accepted: Jul 29, 2015

DOI: https://doi.org/10.1515/caim-2016-0023

Keywordstransport scheme, spherical geometry, cubed-sphere grid, conservative semi-Lagrangian, spectral element method, error, parallel scalability, performance

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
transport scheme, spherical geometry, cubed-sphere grid, conservative semi-Lagrangian, spectral element method, error, parallel scalability, performance