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Strategies for RANS/VMS-LES coupling

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HAL Id: inria-00088040

https://hal.inria.fr/inria-00088040v2

Submitted on 1 Aug 2006

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Strategies for RANS/VMS-LES coupling

Gennaro Pagano, Simone Camarri, Maria Vittoria Salvetti, Bruno Koobus, Alain Dervieux

To cite this version:

Gennaro Pagano, Simone Camarri, Maria Vittoria Salvetti, Bruno Koobus, Alain Dervieux. Strategies for RANS/VMS-LES coupling. [Research Report] RR-5954, INRIA. 2006, pp.43. �inria-00088040v2�

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a p p o r t

d e r e c h e r c h e

ISRNINRIA/RR--5954--FR+ENG

Thème NUM

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE

Strategies for RANS/VMS-LES coupling

Gennaro Pagano, Simone Camarri, Maria Vittoria Salvetti, Bruno Koobus, Alain Dervieux

N° 5954

July 2006

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(10)

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τRAN S(hWi)τLES(hWi+Wc)

»±•|¼

f~€qseqy`%€q¯±~†w

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Wc = 0¬ ¢ owse<z|ucx‘wyeL‡A·A¯±~6w

θ = 0

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(11)

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¿

∂hWi+Wc

∂t , χl

+ (∇ ·Fc(hWi+Wc), χl) + (∇ ·Fv(hWi+Wc), φl) = τLES(W0), φ0l

l= 1, N

»QUUL¼

(12)

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¿

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¿

∂hWi

∂t , χl

+ (∇ ·Fc(hWi), χl) + (∇ ·Fv(hWi), φl) =

τRAN S(hWi), φl

l= 1, N

»QU<—6¼

Wc

∂t , χl

+ (∇ ·Fc(hWi+Wc), χl)(∇ ·Fc(hWi), χl) + (∇ ·Fv(Wc), φl) = (1θ)

τRAN S(hWi), φl

τLES(W0), φ0l

l= 1, N

»QU0•|¼

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+ ξ =

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·

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tRAN S

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¿

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∂t , χl

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(1θ) τLES(W0), φ0l

l= 1, N

»QU<”6¼

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(14)

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