Stochastic downscaling method: Application to wind refinement

Stochastic Environmental Research and Risk Assessment

Volumn 23, Issue 6, 2009, Pages 851-859

  Bernardin, Frédéric ^a   Bossy, Mireille ^b   Chauvin, Claire ^c   Drobinski, Philippe ^d   Rousseau, Antoine ^c   Salameh, Tamara ^d  

^a CETE de Lyon   (France)

^b INRIA   (France)

^c INRIA   (France)

^d LABORATOIRE DE MÉTÉOROLOGIE DYNAMIQUE   (France)

Author keywords

Downscaling method; Stochastic differential equations; Wind simulation

Indexed keywords

DOWNSCALING METHOD; DOWNSCALING METHODS; LAGRANGIAN STOCHASTIC MODELS; MEDITERRANEAN SEA; NUMERICAL PREDICTIONS; NUMERICAL RESULTS; SMALL SCALE; STOCHASTIC DIFFERENTIAL EQUATIONS; WIND SIMULATION;

DIFFERENTIAL EQUATIONS; MEASUREMENT THEORY; RANDOM PROCESSES; SIMULATORS; STOCHASTIC CONTROL SYSTEMS;

STOCHASTIC MODELS;

DOWNSCALING; LAGRANGIAN ANALYSIS; NUMERICAL MODEL; STOCHASTICITY; WEATHER FORECASTING; WIND MEASUREMENT;

MEDITERRANEAN REGION; MEDITERRANEAN SEA;

EID: 67649650251     PISSN: 14363240     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00477-008-0276-9     Document Type: Article

References (38)

1. Benamou JD, Brenier Y (2000) A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem. Numer Math 84(3):375-393
2. Bertsekas DP (1991) Linear network optimization: Algorithms and codes. MIT Press, Cambridge
3. Bertsekas DP (1992) Auction algorithms for network flow problems: A tutorial introduction. Comput Optim Appl 1:7-66
4. Bossy M (2005) Some stochastic particle methods for nonlinear parabolic pdes. ESAIM Proc 15:18-57
5. Bossy M, Jabir JF (2008) Confined Langevin processes and mean no-permeability condition (preprint)
6. Bossy M, Jabir JF, Talay D (2008) Mathematical study of simplified lagrangian stochastic models (preprint)
7. Carlotti P, Drobinski P (2004) Length-scales in wall-bounded high reynolds number turbulence. J Fluid Mech 516:239-264
8. Chauvin C, Hirstoaga S, Kabelikova P, Bernardin F, Rousseau A (2007) Solving the uniform density constraint in a downscaling stochastic model. In: ESAIM Proc (to appear)
9. Cuxart J, Bougeault P, Redelsperger J (2000) A multiscale turbulence scheme apt for LES and mesoscale modelling. Q J R Meteorol Soc 126:1-30
10. Das SK, Durbin PA (2005) A Lagrangian stochastic model for dispersion in stratified turbulence. Phys Fluids 17(2):025109
11. Deardorff J (1980) Stratocumulus-capped mixed layers derived from a three-dimensional model. Bound-Layer Meteorol 18:495-527
12. Dreeben T, Pope S (1997) Wall-function treatment in PDF methods for turbulent flows. Phys Fluids 9(9):2692-2703
13. Drobinski P, Redelsperger J, Pietras C (2006) Evaluation of a planetary boundary layer subgrid-scale model that accounts for near-surface turbulence anisotropy. Geophys Res Let 33(L23806)
14. Dudhia JA (1993) Nonhydrostatic version of the Penn State-NCAR mesoscale model: Validation tests and simulation of an atlantic cyclone and cold front. Mon Weather Rev 121:1493-1513
15. Graber H, Terray EA, Donelan MA, Drennan WM, Leer JCV, Peters DB (1999) Asis - a new air-sea interaction spar buoy: Design and performance at sea. J Atmos Oceanic Technol 17:708-720
16. Guermond JL, Quartapelle L (1997) Calculation of incompressible viscous flows by an unconditionally stable projection FEM. J Comput Phys 132(1):12-33
17. Krettenauer K, Schumann U (1992) Numerical simulation of turbulent convection over wavy terrain. J Fluid Mech 237:261-299
18. Mass FC, Ovens D, Westrick K, Colle B (2002) Does increasing horizontal resolution produce more skillful forecast? Bull Am Meteorol Soc 83:407-430
19. McCann RJ (1995) Existence and uniqueness of monotone measure-preserving maps. Duke Math J 80(2):309-323
20. Mohammadi B, Pironneau O (1994) Analysis of the k -epsilon turbulence model. Masson, Paris
21. Mora CM (2005) Weak exponential schemes for stochastic differential equations with additive noise. IMA J Numer Anal 25(3):486-506
22. Oksendal B (1995) Stochastic differential equations. Springer, Heidelberg
23. Piper M, Lundquist J (2004) Surface layer turbulence measurements during a frontal passage. J Atmos Sci 61:1768-1780
24. Pope S (1985) PDF methods for turbulent reactive flows. Prog Energy Comb Sci 11:119-192
25. Pope S (1993) On the relationship between stochastic Lagrangian models of turbulence and second-moment closures. Phys Fluids 6:973-985
26. Pope S (1994) Lagrangian PDF methods for turbulent flows. Annu Rev Fluid Mech 26:23-63
27. Pope S (2003) Turbulent flows. Cambridge University Press, Cambridge
28. Pryor SC, Schoof JT, Barthelmie RJ (2006) Empirical downscaling of wind speed probability distributions. J Geophys Res 110. doi: 10.1029/ 2005JD005899
29. Redelsperger J, Sommeria G (1981) Methode de representation de la turbulence l'chelle inferieure a la maille pour un modele tridimensionnel de convection nuageuse. Bound Layer Meteor 21:509-530
30. Redelsperger J, Mahe F, Carlotti P (2001) A simple and general subgrid model suitable both for surface layer and free-stream turbulence. Bound Layer Meteor 101:375-408
31. Rousseau A, Bernardin F, Bossy M, Drobinski P, Salameh T (2007) Stochastic particle method applied to local wind simulation. In: Proceedings of IEEE international conference on clean electrical power, IEEE, Capri, Italy, pp 526-528
32. Salameh T, Drobinski P, Menut L, Bessagnet B, Flamant C, Hodzic A, Vautard R (2007) Aerosol distribution over the western mediterranean basin during a tramontane/mistral event. Ann Geophys 11:2271-2291
33. Salameh T, Drobinski P, Vrac M, Naveau P (2008) Statistical downscaling of near-surface wind over complex terrain in southern france (in preparation)
34. Schmidt H, Schumann U (1989) Coherent structure of the convective boundary layer derived from large-eddy simulation. J Fluid Mech 200:511-562
35. Talay D (1996) Probabilistic numerical methods for partial differential equations: Elements of analysis. In: Talay D, Tubaro L (eds) Probabilistic models for nonlinear partial differential equations. Lecture notes in mathematics, vol 1627. Springer, Heidelberg, pp 148-196
36. Villani C (2003) Topics in optimal transportation. Graduate Studies in Mathematics, vol 58. American Mathematical Society, Providence
37. Xu J, Pope S (1999) Assessement of numerical accuracy of PDF/Monte Carlo methods for tubulent reacting flows. J Comput Phys 152:192-230
38. Zagar N, Zagar M, Cedilnik J, Gregoric G, Rakoveg J (2006) Validation of mesoscale low-level winds obtained by dynamical downscaling of ERA40 over complex terrain. Tellus 58A:445-455