Junction of Models of Different Dimension for Flows in Tube Structures by Womersley-Type Interface Conditions

DOI10.1137/18M1229572zbMath1419.35155OpenAlexW2948245131MaRDI QIDQ5231202

David D. Nolte, Cristóbal Bertoglio, Gregory P. Panasenko, Konstantinas Pileckas, Carlos Conca

Publication date: 26 August 2019

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1229572

zbMATH Keywords

Navier-Stokes equationsStokes equationsthin structuresasymptotic partial decompositionhybrid dimension models

Mathematics Subject Classification ID

Related Items (5)

Time periodic Navier-Stokes equations in a thin tube structure ⋮ Finite volume ADI scheme for hybrid dimension heat conduction problems set in a cross-shaped domain ⋮ ADI scheme for partially dimension reduced heat conduction models ⋮ Reconstruction of the Pressure in the Method of Asymptotic Partial Decomposition for the Flows in Tube Structures ⋮ On the Bingham flow in a thin Y-like shaped structure

Uses Software

• Gmsh
• FEniCS

Cites Work

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• ASYMPTOTIC ANALYSIS AND PARTIAL ASYMPTOTIC DECOMPOSITION OF DOMAIN FOR STOKES EQUATION IN TUBE STRUCTURE
• Asymptotic expansion of the solution of Navier-Stokes equation in a tube structure
• Partial asymptotic decomposition of domain: Navier-Stokes equation in tube structure
• Divergence equation in thin-tube structures

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