The terminator "toy" chemistry test: A simple tool to assess errors in transport schemes
Abstract
This test extends the evaluation of transport schemes from prescribed advection of inert scalars to reactive species. The test consists of transporting two interacting chemical species in the Nair and Lauritzen 2-D idealized flow field. The sources and sinks for these two species are given by a simple, but non-linear, "toy" chemistry that represents combination (X+X → X2) and dissociation (X2 → X+X). This chemistry mimics photolysis-driven conditions near the solar terminator, where strong gradients in the spatial distribution of the species develop near its edge. Despite the large spatial variations in each species, the weighted sum XT = X+2X2 should always be preserved at spatial scales at which molecular diffusion is excluded. The terminator test demonstrates how well the advection–transport scheme preserves linear correlations. Chemistry–transport (physics–dynamics) coupling can also be studied with this test. Examples of the consequences of this test are shown for illustration.
- Authors:
-
- National Center for Atmospheric Research, Boulder, CO (United States)
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Publication Date:
- Research Org.:
- Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1214222
- Grant/Contract Number:
- AC04-94AL85000
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Geoscientific Model Development (Online)
- Additional Journal Information:
- Journal Name: Geoscientific Model Development (Online); Journal Volume: 8; Journal Issue: 5; Journal ID: ISSN 1991-9603
- Publisher:
- European Geosciences Union
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES
Citation Formats
Lauritzen, P. H., Conley, A. J., Lamarque, J. -F., Vitt, F., and Taylor, M. A. The terminator "toy" chemistry test: A simple tool to assess errors in transport schemes. United States: N. p., 2015.
Web. doi:10.5194/gmd-8-1299-2015.
Lauritzen, P. H., Conley, A. J., Lamarque, J. -F., Vitt, F., & Taylor, M. A. The terminator "toy" chemistry test: A simple tool to assess errors in transport schemes. United States. https://doi.org/10.5194/gmd-8-1299-2015
Lauritzen, P. H., Conley, A. J., Lamarque, J. -F., Vitt, F., and Taylor, M. A. Mon .
"The terminator "toy" chemistry test: A simple tool to assess errors in transport schemes". United States. https://doi.org/10.5194/gmd-8-1299-2015. https://www.osti.gov/servlets/purl/1214222.
@article{osti_1214222,
title = {The terminator "toy" chemistry test: A simple tool to assess errors in transport schemes},
author = {Lauritzen, P. H. and Conley, A. J. and Lamarque, J. -F. and Vitt, F. and Taylor, M. A.},
abstractNote = {This test extends the evaluation of transport schemes from prescribed advection of inert scalars to reactive species. The test consists of transporting two interacting chemical species in the Nair and Lauritzen 2-D idealized flow field. The sources and sinks for these two species are given by a simple, but non-linear, "toy" chemistry that represents combination (X+X → X2) and dissociation (X2 → X+X). This chemistry mimics photolysis-driven conditions near the solar terminator, where strong gradients in the spatial distribution of the species develop near its edge. Despite the large spatial variations in each species, the weighted sum XT = X+2X2 should always be preserved at spatial scales at which molecular diffusion is excluded. The terminator test demonstrates how well the advection–transport scheme preserves linear correlations. Chemistry–transport (physics–dynamics) coupling can also be studied with this test. Examples of the consequences of this test are shown for illustration.},
doi = {10.5194/gmd-8-1299-2015},
journal = {Geoscientific Model Development (Online)},
number = 5,
volume = 8,
place = {United States},
year = {Mon May 04 00:00:00 EDT 2015},
month = {Mon May 04 00:00:00 EDT 2015}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 15 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Free Radicals Within the Antarctic Vortex: The Role of CFCs in Antarctic Ozone Loss
journal, January 1991
- Anderson, J. G.; Toohey, D. W.; Brune, W. H.
- Science, Vol. 251, Issue 4989
The design and application of upwind schemes on unstructured meshes
conference, February 2013
- Barth, Timothy; Jespersen, Dennis
- 27th Aerospace Sciences Meeting
Selective monotonicity preservation in scalar advection
journal, May 2008
- Blossey, Peter N.; Durran, Dale R.
- Journal of Computational Physics, Vol. 227, Issue 10
The Piecewise Parabolic Method (PPM) for gas-dynamical simulations
journal, April 1984
- Colella, Phillip; Woodward, Paul R.
- Journal of Computational Physics, Vol. 54, Issue 1
CAM-SE: A scalable spectral element dynamical core for the Community Atmosphere Model
journal, November 2011
- Dennis, John M.; Edwards, Jim; Evans, Katherine J.
- The International Journal of High Performance Computing Applications, Vol. 26, Issue 1
Radicals and reservoirs in the GMI chemistry and transport model: Comparison to measurements
journal, January 2004
- Douglass, Anne R.
- Journal of Geophysical Research, Vol. 109, Issue D16
Numerical Methods for Fluid Dynamics
book, January 2010
- Durran, Dale R.
- Texts in Applied Mathematics
The effect of dynamical mixing in a simple model of the ozone hole
journal, July 1996
- Edouard, S.; Legras, B.; Zeitlin, V.
- Journal of Geophysical Research: Atmospheres, Vol. 101, Issue D11
A Mass-Conserving Semi-Lagrangian Scheme for the Shallow-Water Equations
journal, January 1994
- Gravel, Sylvie; Staniforth, Andrew
- Monthly Weather Review, Vol. 122, Issue 1
Optimization-based limiters for the spectral element method
journal, June 2014
- Guba, Oksana; Taylor, Mark; St-Cyr, Amik
- Journal of Computational Physics, Vol. 267
A flux-form version of the conservative semi-Lagrangian multi-tracer transport scheme (CSLAM) on the cubed sphere grid
journal, February 2011
- Harris, Lucas M.; Lauritzen, Peter H.; Mittal, Rashmi
- Journal of Computational Physics, Vol. 230, Issue 4
One step integration methods with maximum stability regions
journal, April 1984
- Kinnmark, Ingemar P. E.; Gray, William G.
- Mathematics and Computers in Simulation, Vol. 26, Issue 2
One step integration methods of third-fourth order accuracy with large hyperbolic stability limits
journal, June 1984
- Kinnmark, Ingemar P. E.; Gray, William G.
- Mathematics and Computers in Simulation, Vol. 26, Issue 3
A Simple Model for the Vertical Transport of Reactive Species in the Convective Atmospheric Boundary Layer
journal, November 2009
- Kristensen, Leif; Lenschow, Donald H.; Gurarie, David
- Boundary-Layer Meteorology, Vol. 134, Issue 2
CAM-chem: description and evaluation of interactive atmospheric chemistry in the Community Earth System Model
journal, January 2012
- Lamarque, J. -F.; Emmons, L. K.; Hess, P. G.
- Geoscientific Model Development, Vol. 5, Issue 2
A Stability Analysis of Finite-Volume Advection Schemes Permitting Long Time Steps
journal, July 2007
- Lauritzen, Peter Hjort
- Monthly Weather Review, Vol. 135, Issue 7
Evaluating advection/transport schemes using interrelated tracers, scatter plots and numerical mixing diagnostics
journal, November 2011
- Lauritzen, P. H.; Thuburn, J.
- Quarterly Journal of the Royal Meteorological Society, Vol. 138, Issue 665
A conservative semi-Lagrangian multi-tracer transport scheme (CSLAM) on the cubed-sphere grid
journal, March 2010
- Lauritzen, Peter H.; Nair, Ramachandran D.; Ullrich, Paul A.
- Journal of Computational Physics, Vol. 229, Issue 5
A standard test case suite for two-dimensional linear transport on the sphere
journal, January 2012
- Lauritzen, P. H.; Skamarock, W. C.; Prather, M. J.
- Geoscientific Model Development, Vol. 5, Issue 3
A standard test case suite for two-dimensional linear transport on the sphere: results from a collection of state-of-the-art schemes
journal, January 2014
- Lauritzen, P. H.; Ullrich, P. A.; Jablonowski, C.
- Geoscientific Model Development, Vol. 7, Issue 1
A “Vertically Lagrangian” Finite-Volume Dynamical Core for Global Models
journal, October 2004
- Lin, Shian-Jiann
- Monthly Weather Review, Vol. 132, Issue 10
Multidimensional Flux-Form Semi-Lagrangian Transport Schemes
journal, September 1996
- Lin, Shian-Jiann; Rood, Richard B.
- Monthly Weather Review, Vol. 124, Issue 9
A Class of the van Leer-type Transport Schemes and Its Application to the Moisture Transport in a General Circulation Model
journal, July 1994
- Lin, Shian-Jiann; Chao, Winston C.; Sud, Y. C.
- Monthly Weather Review, Vol. 122, Issue 7
Moving Vortices on the Sphere: A Test Case for Horizontal Advection Problems
journal, February 2008
- Nair, Ramachandran D.; Jablonowski, Christiane
- Monthly Weather Review, Vol. 136, Issue 2
A class of deformational flow test cases for linear transport problems on the sphere
journal, November 2010
- Nair, Ramachandran D.; Lauritzen, Peter H.
- Journal of Computational Physics, Vol. 229, Issue 23
The Mass-Conservative Cell-Integrated Semi-Lagrangian Advection Scheme on the Sphere
journal, March 2002
- Nair, Ramachandran D.; Machenhauer, Bennert
- Monthly Weather Review, Vol. 130, Issue 3
Global impact of the Antarctic ozone hole: Chemical propagation
journal, January 1990
- Prather, Michael; Jaffe, Andrew H.
- Journal of Geophysical Research, Vol. 95, Issue D4
Symmetry Breaking Instabilities in Dissipative Systems. II
journal, February 1968
- Prigogine, I.; Lefever, R.
- The Journal of Chemical Physics, Vol. 48, Issue 4
Numerical solution of the reaction–advection–diffusion equation on the sphere
journal, March 2006
- Pudykiewicz, Janusz A.
- Journal of Computational Physics, Vol. 213, Issue 1
On numerical solution of the shallow water equations with chemical reactions on icosahedral geodesic grid
journal, March 2011
- Pudykiewicz, Janusz A.
- Journal of Computational Physics, Vol. 230, Issue 5
The Impact of Positive-Definite Moisture Transport on NWP Precipitation Forecasts
journal, January 2009
- Skamarock, William C.; Weisman, Morris L.
- Monthly Weather Review, Vol. 137, Issue 1
A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
journal, January 2002
- Spiteri, Raymond J.; Ruuth, Steven J.
- SIAM Journal on Numerical Analysis, Vol. 40, Issue 2
Using transport diagnostics to understand chemistry climate model ozone simulations
journal, January 2011
- Strahan, S. E.; Douglass, A. R.; Stolarski, R. S.
- Journal of Geophysical Research, Vol. 116, Issue D17
Numerical advection schemes, cross-isentropic random walks, and correlations between chemical species
journal, March 1997
- Thuburn, John; McIntyre, Michael E.
- Journal of Geophysical Research: Atmospheres, Vol. 102, Issue D6
High-performance high-resolution semi-Lagrangian tracer transport on a sphere
journal, July 2011
- White, J. B.; Dongarra, J. J.
- Journal of Computational Physics, Vol. 230, Issue 17
A standard test set for numerical approximations to the shallow water equations in spherical geometry
journal, September 1992
- Williamson, David L.; Drake, John B.; Hack, James J.
- Journal of Computational Physics, Vol. 102, Issue 1
Conservative and oscillation-less atmospheric transport schemes based on rational functions
journal, January 2002
- Xiao, F.
- Journal of Geophysical Research, Vol. 107, Issue D22
Fully multidimensional flux-corrected transport algorithms for fluids
journal, June 1979
- Zalesak, Steven T.
- Journal of Computational Physics, Vol. 31, Issue 3
Works referencing / citing this record:
Forced advection problems for testing transport schemes
journal, December 2019
- Zerroukat, Mohamed; Allen, Thomas
- Quarterly Journal of the Royal Meteorological Society, Vol. 146, Issue 727
Impact of numerical choices on water conservation in the E3SM Atmosphere Model version 1 (EAMv1)
journal, January 2018
- Zhang, Kai; Rasch, Philip J.; Taylor, Mark A.
- Geoscientific Model Development, Vol. 11, Issue 5