AUTOMATIC INSERTION OF A TURBULENCE MODEL IN THE FINITE ELEMENT DISCRETIZATION OF THE NAVIER–STOKES EQUATIONS

DOI10.1142/S0218202509003747zbMath1169.76031MaRDI QIDQ3394256

Christine Bernardi, Roger Lewandowski, Frederic Hecht, Tómas Chacón-Rebollo

Publication date: 28 August 2009

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

a posteriori error estimatesturbulent kinetic energyeddy viscositymesh adaptivity

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) (k)-(varepsilon) modeling in turbulence (76F60) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (6)

Finite time blow-up for some parabolic systems arising in turbulence theory ⋮ Error analysis of a subgrid eddy viscosity multi-scale discretization of the Navier-Stokes equations ⋮ Spectral discretization of the time-dependent Navier-Stokes problem coupled with the heat equation ⋮ An iterative procedure to solve a coupled two-fluids turbulence model ⋮ Adjoint-Based Adaptive Model and Discretization for Hyperbolic Systems with Relaxation ⋮ Dynamic model adaptation for multiscale simulation of hyperbolic systems with relaxation

Uses Software

• FreeFem++

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
• Nonlinear elliptic and parabolic equations involving measure data
• Numerical simulation of water flow around a rigid fishing net
• Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions
• Neumann and mixed problems on curvilinear polyhedra
• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• Best constant in Sobolev inequality
• Consistency, stability, a priori and a posteriori errors for Petrov- Galerkin methods applied to nonlinear problems
• Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials. I: Error estimates and adaptive algorithms
• A subgrid-scale deconvolution approach for shock capturing
• On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
• A model for two coupled turbulent fluids. III: Numerical approximation by finite elements
• A new approach to computational turbulence modeling
• A RANS 3D model with unbounded eddy viscosities
• Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales
• Multimodels for incompressible flows: iterative solutions for the Navier-Stokes/Oseen coupling
• Multiscale Analysis and Computation for the Three-Dimensional Incompressible Navier–Stokes Equations
• Energy transfers and spectral eddy viscosity in large-eddy simulations of homogeneous isotropic turbulence: Comparison of dynamic Smagorinsky and multiscale models over a range of discretizations
• Finite Element Methods for Navier-Stokes Equations
• Mixed and Hybrid Finite Element Methods
• Solution of a two-dimensional stationary induction heating problem without boundedness of the coefficients
• Impact of the variations of the mixing length in a first order turbulent closure system
• A Posteriori Control of Modeling Errors and Discretization Errors
• A Convergent Adaptive Algorithm for Poisson’s Equation
• On a Leray–α model of turbulence
• The Mathematical Theory of Finite Element Methods
• The mathematical analysis of the coupling of a turbulent kinetic energy equation to the navier-stokes equation with an eddy viscosity

This page was built for publication: AUTOMATIC INSERTION OF A TURBULENCE MODEL IN THE FINITE ELEMENT DISCRETIZATION OF THE NAVIER–STOKES EQUATIONS