A model for two coupled turbulent fluids. III: Numerical approximation by finite elements

DOI10.1007/s00211-003-0490-9zbMath1129.76326OpenAlexW2125508055MaRDI QIDQ1882553

Christine Bernardi, Roger Lewandowski, François Murat, Tómas Chacón-Rebollo, Macarena Gómez-Mármol

Publication date: 1 October 2004

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-003-0490-9

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Turbulence (76F99)

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Optimal error estimates of both coupled and two-grid decoupled methods for a mixed Stokes-Stokes model ⋮ A stabilized finite element method for the Stokes-Stokes coupling interface problem ⋮ Uzawa conjugate gradient domain decomposition methods for coupled Stokes flows ⋮ Convergence analysis of optimization-based domain decomposition methods for a bonded structure ⋮ A RANS 3D model with unbounded eddy viscosities ⋮ Results for a turbulent system with unbounded viscosities: weak formulations, existence of solutions, boundedness and smoothness ⋮ Grad-div Stabilized Finite Element Schemes for the Fluid-Fluid Interaction Model ⋮ An iterative procedure to solve a coupled two-fluids turbulence model ⋮ Schwarz domain decomposition methods for the fluid-fluid system with friction-type interface conditions ⋮ Large data analysis for Kolmogorov's two-equation model of turbulence ⋮ AUTOMATIC INSERTION OF A TURBULENCE MODEL IN THE FINITE ELEMENT DISCRETIZATION OF THE NAVIER–STOKES EQUATIONS

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