Efficient stochastic superparameterization for geophysical turbulence

Proceedings of the National Academy of Sciences of the United States of America

Volumn 110, Issue 12, 2013, Pages 4464-4469

  Grooms, Ian ^a   Majda, Andrew J ^a  

^a NEW YORK UNIVERSITY   (United States)

Author keywords

Random plane waves; Stochastic backscatter

Indexed keywords

ALGORITHM; ARTICLE; DIFFUSION; FLOW KINETICS; GEOGRAPHIC AND GEOLOGICAL PARAMETERS; GEOPHYSICAL TURBULENCE; HYDRODYNAMICS; PRIORITY JOURNAL; STOCHASTIC SUPERPARAMETERIZATION; TURBULENT FLOW;

EID: 84875276915     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1302548110     Document Type: Article

References (21)

1. Grabowski WW, Smolarkiewicz PK (1999) CRCP: A cloud resolving convection parameterization for modeling the tropical convective atmosphere. Physica D 133(1-4):171-178.
2. Khairoutdinov M, Randall DA (2001) A cloud resolving model as a cloud parameterization in the NCAR community climate system model: Preliminary results. Geophys Res Lett 28(18):3617-3620.
3. Khairoutdinov M, Randall DA, DeMott C (2005) Simulations of the atmospheric general circulation using a cloud-resolving model as a superparameterization of physical processes. J Atmos Sci 62(7):2136-2154.
4. Khairoutdinov M, DeMott C, Randall DA (2008) Evaluation of the simulated interannual and subseasonal variability in an AMIP-style simulation using the CSU multiscale modeling framework. J Clim 21(3):413-431.
5. Campin J-M, Hill C, Jones H, Marshall J (2011) Super-parameterization in ocean modeling: Application to deep convection. Ocean Model 36(1-2):90-101.
6. Xing Y, Majda AJ, Grabowski WW (2009) New efficient sparse space-time algorithms for superparameterization on mesoscales. Mon Weather Rev 137(12):4307-4324.
7. Majda AJ, Grote MJ (2009) Mathematical test models for superparametrization in anisotropic turbulence. Proc Natl Acad Sci USA 106(14):5470-5474.
8. Majda A (2012) Challenges in climate science and contemporary applied mathematics. Commun Pure Appl Math 65(7):920-948.
9. Elliott FW, Jr., Majda AJ (1995) A new algorithm with plane waves and wavelets for random velocity fields with many spatial scales. J Comput Phys 117(1):146-162.
10. Majda AJ (1994) Random shearing direction models for isotropic turbulent diffusion. J Stat Phys 75(5-6):1153-1165.
11. Majda AJ, Kramer PR (1999) Simplified models for turbulent diffusion: Theory, numerical modelling, and physical phenomena. Phys Rep 314(4-5):237-574.
12. Weinan E, Engquist B (2003) The heterogeneous multiscale methods. Comm Math Sci 1(1):87-132.
13. Salmon R (1998) Lectures on Geophysical Fluid Dynamics (Oxford Univ Press, New York).
14. Thompson AF, Young WR (2006) Scaling baroclinic eddy fluxes: Vortices and energy balance. J Phys Oceanogr 36(4):720-738.
15. Thompson AF, Young WR (2007) Two-layer baroclinic eddy heat fluxes: Zonal flows and energy balance. J Atmos Sci 64(9):3214-3231.
16. Kennedy CA, Carpenter MH (2003) Additive Runge-Kutta schemes for convectiondiffusion- reaction equations. Appl Numer Math 44(1-2):139-181.
17. Grabowski WW (2004) An improved framework for superparameterization. J Atmos Sci 61(15):1940-1952.
18. Harlim J, Majda AJ (2013) Test models for filtering with superparameterization. Multiscale Model Simul 11(1):282-308.
19. Grooms I, Majda AJ, Smith KS (2012) Multiscale models for synoptic-mesoscale interactions in the ocean. Dyn Atmos Oceans 58:95-107.
20. Majda AJ, Harlim J (2012) Filtering Complex Turbulent Systems. (Cambridge Univ Press, Cambridge, UK).
21. Majda AJ, Harlim J, Gershgorin B (2010) Mathematical strategies for filtering turbulent dynamical systems. Discrete Cont. Dyn. S. 27(2):441-486.