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Abstract

This study uses a single software framework to compare the CPU performance of Arakawa A-grid (NICAM) and C-grid (MPAS) schemes for solving the shallow-water equations on icosahedral grids. The focus is on high-resolution weather prediction. Performance analysis shows the simpler structure of the A-grid equations enables compiler optimization-based efficiency gains that the C-grid equations cannot match. Strong scaling runs at 3.5 km resolution show the A-grid is three times faster than the C-grid, enabling the A-grid to run at 50% higher resolution in only 15% more time. A performance comparison with the MPAS shallow-water model is included which demonstrates that our software implementation of the C-grid is robust and comparisons are fair.

Keywords

Shallow-water model a-grid,c-grid icosahedral grid high resolution weather models performance comparison

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References

Arakawa

Lamb

, 1977: Computational design of the basic dynamical processes of the UCLA general circulation model. Methods in Computational Physics, Chang

, Ed., Vol.17, Academic Press, 173–265.

Faber

Gunzburger

(1999) Centroidal Voronoi Tessellations: Applications and algorithms. SIAM Rev 41: 637–676. DOI: 10.1137/S0036144599352836.

Govett

Hart

Henderson

, et al. (2003) The Scalable Modeling System: directive-based code parallelization for distributed and shared memory computers. Parallel Computing 29(8): 995–1020.

Govett

Rosinski

Middlecoff

, et al. (2017) Parallelization and Performance of the NIM Weather Model on CPU, GPU, and MIC Processors. Bulletin of the American Meteorological Society 98(10): 2201–2213. DOI: 10.1175/BAMS-D-15-00278.1 .

Lee

J-L

MacDonald

(2009) A finite-volume icosahedral shallow-water model on a local coordinate. Mon. Wea. Rev 137: 1422–1437. DOI: 10.1175/2008MWR2639.1 .

MacDonald

Middlecoff

Henderson

, et al. (2010) A General Method for Modeling on Irregular Grids. The International Journal of High Performance Computing Applications 25(4): 392–403. DOI: 10.1177/1094342010385019 .

Middlecoff

(2015) NCAR 2015 Multicore Workshop, Session Four: Weather Models. In: Optimization of MPI Message Passing in a Multi-Core NWP Dynamical Core Running on Nvidia GPUs.

Peixoto

(2016) Accuracy analysis of mimetic finite volume operators on geodesic grids and a consistent alternative. J. Comput. Phys 310: 127–160.

Randall

Ringler

Heikes

, et al. (2002) Climate Modeling with Spherical Geodesic Grids. Computing in Science & Engineering 4: 32–41. DOI: 10.1109/MCISE.2002.1032427.

, et al. (2010) A unified approach to energy conservation and potential vorticity dynamics for arbitrarily-structured C-grids. J. Comput. Phys 229: 3065–3090.

11.

Rosinski

(2010) CUG 2010 Proceedings. General Purpose Timing Library (GPTL): A Tool for Characterizing Performance of Parallel and Serial Applications, James Rosinski. Oak Ridge National Laboratory (ORNL). https://cug.org/5-publications/proceedings_attendee_lists/CUG10CD/pages/1-program/final_program/CUG10_Proceedings/pages/authors/01-5Monday/4B-Rosinski-paper.html

12.

Satoh

Matsuno

Tomita

, et al. (2008) Nonhydrostatic ICosahedral Atmospheric Model (NICAM) for global cloud resolving simulations. J. Comput. Phys 227: 3486–3514. DOI: 10.1016/j.jcp.2007.02.006.

, et al. (2012) A multiscale nonhydrostatic atmospheric model using centroidal Voronoi tesselations and C-grid staggering. Mon. Wea. Rev 140: 3090–3105. DOI: 10.1175/MWR-D-11-00215.1 .

, et al. (2009) Numerical representation of geostrophic modes on arbitrarily structured C-grids. J. Comput. Phys 228: 8321–8335.

, et al. (2001) Shallow water model on a modified icosahedral geodesic grid by using spring dynamics. J Comput. Phys 174: 579–613. DOI: 10.1006/jcph.2001.6897 .

(2002) An optimization of the icosahedral grid modified by spring dynamics. J Comput Phys 183: 307–331. DOI: 10.1006/jcph.2002.7193 .

17.

Wan

Coauthors (2013) The ICON-1.2 hydrostatic atmospheric dynamical core on triangular grids—Part I: Formulation and performance of the baseline version. Geosci. Model Dev 6: 59–119. DOI: 10.5194/gmdd-6-59-2013 .

18.

Wang

Lee

(2011) Geometric properties of the icosahedralhexagonal grid on the two-sphere. SIAM J. Sci. Comput 33: 2536–2559. DOI: 10.1137/090761355 .

, et al. (1992) A standard test set for numerical approximations to the shallow water equations in spherical geometry. J. Comput. Phys 102: 211–224.

20.

Winninghoff

(1968) On the Adjustment towards a Geostrophic Balance in a Simple Primitive Equation Model with Application to the Problems and Objective Analysis. PhD thesis. University of California, p. 161.

21.

Wang

Middlecoff

, et al. (2020) Comparing Numerical Accuracy of Icosahedral A-Grid and C-Grid Schemes in Solving the Shallow-Water Model. Monthly Weather Review 148(10): 4009–4033. DOI: 10.1175/MWR-D-20-0024.1 .

, et al. (2015) The ICON (ICOsahedral Non-hydrostatic) modelling framework of and MPI-of DWD and MPI-M: Description of the non-hydrostatic dynamical core. Quart. J. Roy. Meteor. Soc 141: 563–579. DOI: 10.1002/qj.2378 .

Performance comparison of the A-grid and C-grid shallow-water models on icosahedral grids

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