This project has ended | -
ECMWF hosted the ERC funded project PantaRhei (PR), which explored ways to augment NWP models with novel technical and scientific capabilities, to alleviate intrinsic limits imposed by the established NWP framework. PR delivered a new modelling framework, the Finite-Volume-Module (FVM), for forecasting all-scale global weather and climate [1-4]. This is an outstanding achievement, as FVM empowers synthesis of spherical harmonics and finite-volume discretisations operating on the same grid and parallel decomposition. In effect, FVM enables a mutually beneficial hybridisation of two exceptionally successful modelling systems: ECMWF's Integrated Forecasting System (IFS) and the nonhydrostatic research model EULAG formulated by the PI. FVM has been extended to moist precipitating dynamics [3], paving the way for coupling FVM dynamics with IFS physics packages. This development facilitated demonstration of the equivalent accuracy of FVM to spectral methods for weather canonical test cases [4,5]. Near the end of the project, an original theory of generalised perturbation forms of the governing PDEs has been developed and tested for idealised global atmospheric flow problems [6]. The proposed perturbation approach enables novel numerical solution procedures with significant potential for increased accuracy and performance compared to existing schemes. Altogether, PantaRhei has been a success. Up to date, the PantaRhei advancements have been documented in over 30 peer reviewed publications in prime international journals.
[1] P.K. Smolarkiewicz, C. Kühnlein, N.P. Wedi, A consistent framework for discrete integrations of soundproof and compressible PDEs of atmospheric dynamics, J. Comput. Phys., 263 (2014) 185-205.
[2] P.K. Smolarkiewicz, W. Deconinck, M. Hamrud, C. Kühnlein, G. Mozdzynski, J. Szmelter, N.P. Wedi, A finite-volume module for simulating global all-scale atmospheric flows, J. Comput. Phys., 314 (2016) 287-304.
[3] P.K. Smolarkiewicz, C. Kuhnlein, W.W. Grabowski, A finite-volume module for cloud-resolving simulations of global atmospheric flows, J, Comput, Phys, 341 (2017) 208-229.
[4] European research council funding boosts numerical work
[5] C Kühnlein, et al., FVM 1.0: a nonhydrostatic finite-volume dynamical core for the IFS Geoscientific Model Development 12 (2), 651-676, 2019.
[6] P.K. Smolarkiewicz, C. Kühnlein, N.P. Wedi, Semi-implicit integrations of perturbation equations for all-scale atmospheric dynamics, Journal of Computational Physics 376, 145-159, 2019.
ECMWF hosts the PantaRhei project, the development of an interdisciplinary forecasting system for simulating multi-scale fluid flows (FP7/2012/ERC Advanced Grant agreement no. 320375).
Together with the principal investigator Dr Piotr Smolarkiewicz, the project explores a hybrid approach for forecasting global weather and climate that combines the strengths of established and efficient (at large hydrostatic scales) structured grid numerical weather prediction (NWP) and climate models with control-volume (small-scale) edge-based codes, originating from other computational fluid dynamics (CFD) disciplines. ECMWF's operational forecast model operates at hydrostatic scales and is not equipped to resolve convective motions where nonhydrostatic effects dominate, thus impairing the fidelity of forecasts. While NWP strives to extend the skill towards finer scales, nonhydrostatic research models endeavour to extend their realm towards the global domain. The two routes of development must cross, but the approach how to merge the diverse expertise is far from obvious.
The proposed work will synthesise the complementary skills of two exceptionally successful modelling systems: ECMWF's Integrated Forecasting System (IFS) and the nonhydrostatic research model EULAG formulated by the principal investigator. The IFS is one of the most comprehensive Earth-system models available in the world, while EULAG offers unprecedented expertise in multi-disciplinary computational fluid dynamics (CFD) ranging from simulations of laboratory flows to magneto-hydrodynamics of solar convection. The essence of the proposal is a pioneering numerical approach, where a nonhydrostatic global model is conditioned by global hydrostatic solutions within a single code framework.
The key technologies are EULAG's numerical procedures expressed in time-dependent generalized curvilinear coordinates, pairing the mathematical apparatus of general relativity with modern CFD, most notably the emerging novel edge-based non-oscillatory control volume integrators for nonhydrostatic atmospheric motions. The new model will prepare ECMWF for predicting with greater fidelity extreme weather events that are critical to the protection of society. Moreover, it is envisaged that the next generation forecasting system will be one of the most advanced computing tools available to the European community for operations, research and education.
Recent Publications:
P.K. Smolarkiewicz, C. Kühnlein, N.P. Wedi, 2018: Perturbation equations for all-scale atmospheric dynamics, J. Comput. Phys., submitted.
Smolarkiewicz_etal2018-png.pdfM. Waruszewski, C. Kühnlein, H. Pawlowska, P.K. Smolarkiewicz, 2018: MPDATA: Third-order accuracy for variable flows, J. Comput. Phys., 359, 361-379. doi:10.1016/j.jcp.2018.01.005
Waruszewski_etal_JCP18.pdfM. Leutbecher, S.‐J. Lock, P. Ollinaho, S.T.K. Lang, G. Balsamo, P. Bechtold, M. Bonavita, H.M. Christensen, M. Diamantakis, E. Dutra, S. English, M. Fisher, R.M. Forbes, J. Goddard, T. Haiden, R.J. Hogan, S. Juricke, H. Lawrence, D. MacLeod, L. Magnusson, S. Malardel, S. Massart, I. Sandu, P.K. Smolarkiewicz, A. Subramanian, F. Vitart, N. Wedi, A. Weisheimer, 2017: Stochastic representations of model uncertainties at ECMWF: state of the art and future vision, Q. J. R. Meteorol. Soc., 143, 2315-2339. doi: 10.1002/qj.3094
W. Deconinck, P. Bauer, M. Diamantakis, M. Hamrud, C. Kühnlein, P. Maciel, G. Mengaldo, T. Quintino, B. Raoult, P.K. Smolarkiewicz, N.P. Wedi, 2017: Atlas: A library for numerical weather prediction and climate modelling, Comput. Phys. Commun., 220, 188-204. doi: 10.1016/j.cpc.2017.07.006 [open access]
Deconinck_etal2017.pdf
Cossette, J.-F., P. Charbonneau, P.K. Smolarkiewicz, and M. Rast, 2017:
Magnetically-modulated heat transport in a global simulation of solar
magneto-convection, Astrophys. J., 841:65, 17 pp., doi 10.3847/1538-4357/aa6d60
C. Kühnlein, P.K. Smolarkiewicz, An unstructured-mesh finite-volume MPDATA
for compressible atmospheric dynamics, J. Comput. Phys. 334 (2017), 16–30.
doi: 10.1016/j.jcp.2016.12.054
kuehnlein+smolarJCP2017.pdf
Smolarkiewicz P.K., C. Kühnlein, W.W. Grabowski: A finite-volume module for
cloud-resolving simulations of global atmospheric flow, J. Comput. Phys., 341 (2017)
208-229. doi: 10.1016/j.jcp.2017.04.008.
Sanjay Kumar , R. Bhattacharyya , Bhuwan Joshi , P. K. Smolarkiewicz, 2016: On the role of repetitive magnetic reconnections in evolution of magnetic flux ropes in solar corona, Astrophysical Journal, 830:80, 12pp, doi: 10.3847/0004-637X/830/2/80
A. Strugarek , P. Beaudoin , A.S. Brun , P. Charbonneau , S. Mathis , P.K. Smolarkiewicz, 2016: Modeling turbulent stellar convection zones: Sub-grid scales effects, Advances in Space Research, 58, 1538-1553, doi: 10.1016/j.asr.2016.05.043
G. Guerrero , P. K. Smolarkiewicz , E. M. de Gouveia Dal Pino , A. G. Kosovichev , N. N. Mansour, 2016: Understanding solar torsional oscillations from global dynamo models, Astrophysical Journal Letters, 828:L3, 7pp, doi: 10.3847/2041-8205/828/1/L3
Guerrero_etalAPJL2016.pdf
P.K. Smolarkiewicz, J. Szmelter, F. Xiao, 2016: Simulation of all-scale atmospheric dynamics on unstructured meshes, J. Comput. Phys., 322, 267-287, doi: 10.1016/j.jcp.2016.06.048
W. Deconinck , M. Hamrud, C. Kühnlein, G. Mozdzynski, P. K. Smolarkiewicz, J. Szmelter, N. P. Wedi, 2016: Accelerating Extreme-Scale Numerical Weather Prediction, in Parallel Processing and Applied Mathematics, LNCS 9574, Springer International Publishing, 583-593, doi: 10.1007/978-3-319-32152-3_54
Deconinck_etalLNCS2016.pdf
Z. P. Piotrowski , B. Matejczyk , L. Marcinkowski , P. K. Smolarkiewicz, 2016: Parallel ADI Preconditioners for All-Scale Atmospheric Models,, in Parallel Processing and Applied Mathematics, LNCS 9574, Springer International Publishing, 607-618, doi: 10.1007/978-3-319-32152-3_56
P. K. Smolarkiewicz, W. Deconinck, M. Hamrud, C. Kuhnlein, G. Mozdzynski, J. Szmelter and N. P. Wedi:
A finite-volume module for simulating global all-scale atmospheric flows, J. Comput. Phys., 314, pp.287-304, doi: 10.1016/j.jcp.2016.03.015
G. Guerrero, P. K. Smolarkiewicz, E. M. de Gouveia Dal Pino, A. G. Kosovichev, N. N. Mansour: On the role of tachoclines in solar and stellar dynamos, Astrophysical Journal, 819, doi: 10.3847/0004-637X/819/2/104
S. Kumar, R. Bhattacharyya, and P. K. Smolarkiewicz, 2015: On the role of topological complexity in spontaneous development of current sheets, Physics of Plasmas, 22, 082903 doi: 10.1063/1.4905643
Kumar_Bhattacharyya_Smolarkiewicz_2015.pdf
M. J. Kurowski, W. W. Grabowski, and P. K. Smolarkiewicz, 2015: Anelastic and compressible simulation of moist dynamics at planetary scales, J. Atmos. Sci., 72, 3975-3995, doi: 10.1175/JAS-D-15-0107.1
Kurowski_Grabowski_Smolarkiewicz_2015.pdf
J. Szmelter, Z. Zhang, and P.K. Smolarkiewicz, 2015: An unstructured-mesh atmospheric model for nonhydrostatic dynamics: Towards optimal mesh resolution, J. Comput. Phys., 294, 363-381, doi: 10.1016/j.jcp.2015.03.054
Szmelter_Zhang_Smolarkiewicz_2015.pdf
D. Jarecka, A. Jaruga, and P.K. Smolarkiewicz, 2015: A spreading drop of shallow water,
J. Comput. Phys., 289, 53-61, doi: 10.1016/j.jcp.2015.02.003Jarecka_Jaruga_Smolarkiewicz_2015.pdf
M. Siena, J.D. Hyman, M. Riva, A. Guadagnini, C.L. Winter, P.K. Smolarkiewicz, P. Gouze, S. Sadhukhan, F. Inzoli, G. Guedon, and E. Colombo, 2015: Direct numerical simulation of fully saturated flow in natural porous media at the pore scale: a comparison of three computational systems, Computat. Geosci., 19, 423-437, doi: 10.1007/s10596-015-9486-7
A. Jaruga, S. Arabas, D. Jarecka, H. Pawlowska, P.K. Smolarkiewicz, and M. Waruszewski, 2015: libmpdata++1.0: a library of parallel MPDATA solvers for systems of generalised transport equations, Geosci. Model Dev., 8, 1005-1032, DOI: 10.5194/gmd-8-1005-2015 [open access]
Jaruga_etalGMD2015.pdf
D. Kumar, R. Bhattacharyya, and P. K. Smolarkiewicz, 2015: Repetitive formation and decay of current sheets in magnetic loops: An origin of diverse magnetic structures, Physics of Plasmas, 22, 012902 doi: 10.1063/1.4905643
S. Kumar, R. Bhattacharyya, and P. K. Smolarkiewicz, 2014: Formation of magnetic discontinuities through viscous relaxation, Physics of Plasmas, 21, 052904 doi: 10.1063/1.4878955
Kumar_Bhattacharyya_Smolarkiewicz_2014.pdf
R. Abgrall, P. Smolarkiewicz, F. Xiao, and S. Zaleski, 2014: Editorial, Frontiers in Computational Physics: Modeling the Earth System, 271, 1, doi: 110.1016/j.jcp.2014.04.0020
Abgrall_Smolarkiewicz_Xiao_Zaleski_2014.pdf
J.-F. Cossette, P. K. Smolarkiewicz, and P. Charbonneau, 2014: The Monge–Ampère trajectory correction for semi-Lagrangian schemes, J. Comput. Phys., doi: 10.1016/j.jcp.2014.05.016
Cossette_Smolarkiewicz_Charbonneau_2014.pdf
M. J. Kurowski, W. W. Grabowski, and P. K. Smolarkiewicz, 2014: Anelastic and compressible simulation of moist deep convection, J. Atmos. Sci, doi: 10.1175/JAS-D-14-0017.1
Kurowski_Grabowski_Smolarkiewicz_2014.pdf
P.K. Smolarkiewicz, C. Kühnlein, and N.P. Wedi, 2014: A consistent framework for discrete integrations of soundproof and compressible PDEs of atmospheric dynamics, J. Comput. Phys., 263, 185-205. doi: /10.1016/j.jcp.2014.01.031
Smolarkiewicz_Kühnlein_Wedi_2014.pdf
G. Guerrero, P.K. Smolarkiewicz, A.G. Kosovichev, et al., 2013: Differential rotation in solar-like stars from global simulations, Astrophys. J., 779, 176. doi: 10.1088/0004-637X/779/2/176M.J. Kurowski, W.W. Grabowski, and P.K. Smolarkiewicz, 2013: Towards multiscale simulation of moist flows with soundproof equations, J. Atmos. Sci., 70, 3995-4011.
doi: 10.1175/JAS-D-13-024.1Kurowski_Grabowski_Smolarkiewicz_2013.pdf
P.K. Smolarkiewicz, J. Szmelter, and A.A. Wyszogrodzki, 2013: An unstructured-mesh atmospheric model for nonhydrostatic dynamics, J. Comput. Phys., 254,184-199.
doi: 10.1016/j.jcp.2013.07.027Smolarkiewicz_Szmelter_Wyszogrodzki_2013.pdf
J.-F .Cossette, P. Charbonneau, and P.K. Smolarkiewicz, 2013: Cyclic thermal signature in a global MHD simulation of solar convection, Astrophys. J. Lett., 777, L29.
doi: 10.1088/2041-8205/777/2/L29
D. Kumar, R. Bhattacharyya, and P.K. Smolarkiewicz, 2013: Formation of magnetic discontinuities through superposition of force-free magnetic fields: Periodic boundaries, Phys. Plasmas, 20, 112903. doi: 10.1063/1.4831743
P. Charbonneau and P.K. Smolarkiewicz, 2013: Modeling the Solar Dynamo, Science, 340, 42-43. doi: 10.1126/science.1235954
CharbonneauSmolarScience2013.pdf
J.D. Hyman, P.K. Smolarkiewicz, and C.L. Winter, 2013: Pedotransfer functions for permeability: A computational study at pore scales, Water Resources Res., 49, 2080-2092.
doi: 10.1002/wrcr.20170Hyman_Smolarkiewicz_Winter_2013.pdf
P. K. Smolarkiewicz and P. Charbonneau, 2013: EULAG, a computational model for multiscale flows: An MHD extension, J. Comput. Phys., 236, 608-623. doi: 10.1016/j.jcp.2012.11.008
P. Beaudoin, P. Charbonneau, E. Racine and P. K. Smolarkiewicz, 2013: Torsional Oscillations in a Global Solar Dynamo, Solar Physics, 282, 335-360. doi: 10.1007/s11207-012-0150-2