# Stochastic Lagrangian method for downscaling problems in computational fluid dynamics

Frédéric Bernardin; Mireille Bossy; Claire Chauvin; Jean-François Jabir; Antoine Rousseau

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 44, Issue: 5, page 885-920
- ISSN: 0764-583X

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topBernardin, Frédéric, et al. "Stochastic Lagrangian method for downscaling problems in computational fluid dynamics." ESAIM: Mathematical Modelling and Numerical Analysis 44.5 (2010): 885-920. <http://eudml.org/doc/250787>.

@article{Bernardin2010,

abstract = {
This work aims at introducing modelling, theoretical and numerical studies related to a new downscaling technique applied to computational fluid dynamics.
Our method consists in building a local model, forced by large scale information computed thanks to a classical numerical weather predictor.
The local model, compatible with the Navier-Stokes equations, is used
for the small scale computation (downscaling) of the considered
fluid. It is
inspired by Pope's works on turbulence, and consists in a so-called Langevin system of stochastic differential equations. We introduce
this model and exhibit its links with classical RANS models. Well-posedness, as well as mean-field interacting particle approximations and boundary condition issues are addressed. We present the numerical discretization of the stochastic downscaling method and investigate the accuracy of the proposed algorithm on simplified situations.
},

author = {Bernardin, Frédéric, Bossy, Mireille, Chauvin, Claire, Jabir, Jean-François, Rousseau, Antoine},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Langevin models; PDF methods; downscaling methods; fluid dynamics; particle methods},

language = {eng},

month = {8},

number = {5},

pages = {885-920},

publisher = {EDP Sciences},

title = {Stochastic Lagrangian method for downscaling problems in computational fluid dynamics},

url = {http://eudml.org/doc/250787},

volume = {44},

year = {2010},

}

TY - JOUR

AU - Bernardin, Frédéric

AU - Bossy, Mireille

AU - Chauvin, Claire

AU - Jabir, Jean-François

AU - Rousseau, Antoine

TI - Stochastic Lagrangian method for downscaling problems in computational fluid dynamics

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/8//

PB - EDP Sciences

VL - 44

IS - 5

SP - 885

EP - 920

AB -
This work aims at introducing modelling, theoretical and numerical studies related to a new downscaling technique applied to computational fluid dynamics.
Our method consists in building a local model, forced by large scale information computed thanks to a classical numerical weather predictor.
The local model, compatible with the Navier-Stokes equations, is used
for the small scale computation (downscaling) of the considered
fluid. It is
inspired by Pope's works on turbulence, and consists in a so-called Langevin system of stochastic differential equations. We introduce
this model and exhibit its links with classical RANS models. Well-posedness, as well as mean-field interacting particle approximations and boundary condition issues are addressed. We present the numerical discretization of the stochastic downscaling method and investigate the accuracy of the proposed algorithm on simplified situations.

LA - eng

KW - Langevin models; PDF methods; downscaling methods; fluid dynamics; particle methods

UR - http://eudml.org/doc/250787

ER -

## References

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