New Wall Laws for the Unsteady Incompressible Navier-Stokes Equations on Rough Domains

DOI10.1051/m2an:2002009zbMath1040.76009OpenAlexW2163261841MaRDI QIDQ4423077

Frédéric Valentin, Gabriel R. Barrenechea, Le Tallec, Patrick

Publication date: 25 August 2003

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2002__36_2_177_0

zbMATH Keywords

rough boundarytwo-scale asymptotic expansion

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (9)

Rigorous upscaling of rough boundaries for reactive flows ⋮ Large-scale regularity for the stationary Navier-Stokes equations over non-Lipschitz boundaries ⋮ Convergence rates for the stationary and non-stationary Navier–Stokes equations over non-Lipschitz boundaries ⋮ Effective Boundary Conditions: A General Strategy and Application to Compressible Flows Over Rough Boundaries ⋮ A reduced order model to simulate compressible flows over an actuated riblet surface ⋮ Effective surface modeling for momentum and heat transfer over rough surfaces: application to a natural convection problem ⋮ Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions ⋮ A multiscale finite element method for partial differential equations posed in domains with rough boundaries ⋮ Effective boundary conditions for compressible flows over rough boundaries

Cites Work

• Constructing wall laws with domain decomposition or asymptotic expansion techniques
• Effective boundary conditions for laminar flows over periodic rough boundaries
• Unsteady separated turbulent flows computation with wall-laws and \(k\)-\(\varepsilon\) model
• On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation
• Finite Element Methods for Navier-Stokes Equations
• Mixed and Hybrid Finite Element Methods
• A Critical Evaluation of the Classical k-ε Model and Wall-Laws for Unsteady Flows Over Bluflf Bodies
• Implicit algorithms and their linearization for the transient incompressible Navier-Stokes equations
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