JUNCTION OF MODELS OF DIFFERENT DIMENSION FOR FLOWS IN TUBE STRUCTURES BY WOMERSLEY-TYPE INTERFACE CONDITIONS

Bertoglio, Cristóbal; Conca, Carlos; Nolte, David; Panasenko, Grigory; Pileckas, Konstantinas

Abstract

The method of asymptotic partial decomposition of a domain 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 precomputed 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 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.

Más información

Título según WOS: JUNCTION OF MODELS OF DIFFERENT DIMENSION FOR FLOWS IN TUBE STRUCTURES BY WOMERSLEY-TYPE INTERFACE CONDITIONS
Título según SCOPUS: Junction of models of different dimension for flows in tube structures by Womersley-type interface conditions
Título de la Revista: SIAM JOURNAL ON APPLIED MATHEMATICS
Volumen: 79
Número: 3
Editorial: SIAM PUBLICATIONS
Fecha de publicación: 2019
Página de inicio: 959
Página final: 985
Idioma: English
DOI:

10.1137/18M1229572

Notas: ISI, SCOPUS