Islet: interpolation semi-Lagrangian element-based transport
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Published:2022-08-16
Issue:16
Volume:15
Page:6285-6310
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ISSN:1991-9603
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Container-title:Geoscientific Model Development
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language:en
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Short-container-title:Geosci. Model Dev.
Author:
Bradley Andrew M.ORCID, Bosler Peter A., Guba OksanaORCID
Abstract
Abstract. Advection of trace species, or tracers, also called tracer transport,
in models of the atmosphere and other physical domains
is an important and potentially computationally expensive part of a model's dynamical core.
Semi-Lagrangian (SL) advection methods are efficient because
they permit a time step much larger than the advective stability limit
for explicit Eulerian methods
without requiring the solution of a globally coupled system of equations as implicit Eulerian methods do.
Thus, to reduce the computational expense of tracer transport,
dynamical cores often use SL methods to advect tracers.
The class of interpolation semi-Lagrangian (ISL) methods contains potentially extremely efficient SL methods.
We describe a finite-element ISL transport method that we call the
interpolation semi-Lagrangian element-based transport (Islet) method,
such as for use with atmosphere models discretized using the spectral element method.
The Islet method uses three grids that share an element grid:
a dynamics grid supporting, for example, the Gauss–Legendre–Lobatto basis of degree three;
a physics parameterizations grid with a configurable number of finite-volume subcells per element;
and a tracer grid supporting use of Islet bases with particular basis again configurable.
This method provides extremely accurate tracer transport
and excellent diagnostic values in a number of verification problems.
Funder
Advanced Scientific Computing Research Biological and Environmental Research
Publisher
Copernicus GmbH
Reference38 articles.
1. Bosler, P. A., Bradley, A. M., and Taylor, M. A.: Conservative multimoment
transport along characteristics for discontinuous Galerkin methods, SIAM J.
Sci. Comput., 41, B870–B902, 2019. a, b 2. Bradley, A. M.: COMPOSE (v1.1.2):
Methods for Islet paper, Zenodo [code], https://doi.org/10.5281/zenodo.5595499, 2021a. a 3. Bradley, A. M.: Methods data for Islet paper, Zenodo [data set], https://doi.org/10.5281/zenodo.5595518, 2021b. a 4. Bradley, A. M., Bosler, P. A., Guba, O., Taylor, M. A., and Barnett, G. A.:
Communication-efficient property preservation in tracer transport, SIAM J. on
Sci. Comput., 41, C161–C193, 2019. a, b, c, d, e, f, g, h 5. Bradley, A. M., Bosler, P. A., and Guba, O.: Islet: Interpolation
semi-Lagrangian element-based transport, Geosci. Model Dev. Discuss.,
[preprint], https://doi.org/10.5194/gmd-2021-296, 2021. a, b, c
Cited by
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