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Pré-Publication, Document De Travail Année : 2018

Junction of models of different dimension for flows in tube structures by Womersley-type interface conditions

Résumé

The method of asymptotic partial decomposition of a domain (MAPDD) proposed and justified earlier for thin domains (rod structures, tube structures consisting of a set of thin cylinders) generates some special interface conditions between the three-dimensional and one-dimensional parts. In the case of fluid mechanics these conditions prescribe a pre-computed Poiseuille-type shape of a solution at the interface, which however are not generalizable to the case with a boundary layer in time. In this work we present a new more general version of the method which considered and justified for the transient Navier-Stokes equations. Although theoretical justification (well posedness, asymptotic analysis) can be shown only for moderate Reynolds numbers, the provided numerical tests show good accuracies for higher values.
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Dates et versions

hal-01882000 , version 1 (26-09-2018)
hal-01882000 , version 2 (26-10-2018)

Identifiants

  • HAL Id : hal-01882000 , version 1

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Cristobal Bertoglio, Carlos Conca, David Nolte, Grigory Panasenko, Konstantin Pileckas. Junction of models of different dimension for flows in tube structures by Womersley-type interface conditions. 2018. ⟨hal-01882000v1⟩
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