Incremental unknowns, multilevel methods and the numerical simulation of turbulence
type: Item
instance of: scholarly article
title: Incremental unknowns, multilevel methods and the numerical simulation of turbulence
zbMATH Open document ID: 0948.76070
DOI: 10.1016/S0045-7825(98)80106-0
author: F. Jauberteau
author: R. Temam
author: Thierry Dubois
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2000-11-28T00:00:00Z
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 76F65
Mathematics Subject Classification ID: 76F20
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 1382999
zbMATH Keywords: dynamic multilevel methodology
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: statistical theory of turbulence
zbMATH Keywords: direct numerical simulation
zbMATH Keywords: approximate inertial manifolds
zbMATH Keywords: dynamical systems theory
zbMATH Keywords: decomposition of velocity field
zbMATH Keywords: time-adaptative dynamical implementation
zbMATH Keywords: homogeneous turbulence
MaRDI profile type: Publication
cites work: Q5780954
cites work: Q3689590
cites work: Q4841248
cites work: The stress generated in a non-dilute suspension of elongated particles by pure straining motion
cites work: Numerical Methods for the Simulation of Turbulence
cites work: Attractors of partial differential evolution equations and estimates of their dimension
cites work: Determining modes and fractal dimension of turbulent flows
cites work: Attractors representing turbulent flows
cites work: A sharp lower bound for the Hausdorff dimension of the global attractors of the 2D Navier-Stokes equations
cites work: Q3719159
cites work: Inertial manifolds for nonlinear evolutionary equations
cites work: Induced trajectories and approximate inertial manifolds
cites work: Inertial manifolds
cites work: On approximate inertial manifolds to the Navier-Stokes equations
cites work: Inertial manifolds and the slow manifolds in meteorology
cites work: Convergent families of approximate inertial manifolds
cites work: Approximation of exponential order of the attractor of a turbulent flow
cites work: On the effectiveness of the approximate inertial manifold -- a computational study
cites work: On computing the long-time solution of the two-dimensional Navier-Stokes equations
cites work: Q4039908
cites work: Solution of the incompressible Navier-Stokes equations by the nonlinear Galerkin method
cites work: The structure of intense vorticity in isotropic turbulence
cites work: Turbulence in fluids. Stochastic and numerical modelling.
cites work: Q3866823
cites work: Computation of the Energy Spectrum in Homogeneous Two-Dimensional Turbulence
cites work: A dynamic multilevel model for the simulation of the small structures in homogeneous isotropic turbulence
cites work: Galilean invariance of subgrid-scale stress models in the large-eddy simulation of turbulence
cites work: Toward the large-eddy simulation of compressible turbulent flows
cites work: A dynamic subgrid-scale eddy viscosity model
cites work: A dynamic localization model for large-eddy simulation of turbulent flows
cites work: Analytical theories of turbulence
cites work: Eddy diffusivity, eddy noise and subgrid-scale modelling
cites work: Renormalization group analysis of turbulence. I: Basic theory
cites work: Nonlinear Galerkin Methods
cites work: Nonlinear Galerkin methods: The finite elements case
cites work: Inertial Manifolds and Multigrid Methods
cites work: Stability Analysis of the Nonlinear Galerkin Method
cites work: Q4284711
cites work: Trends and perspectives in applied mathematics
cites work: Multilevel Methods in Space and Time for the Navier--Stokes Equations
cites work: Modelling of the interaction of small and large eddies in two dimensional turbulent flows
cites work: The application of turbulence theory to the formulation of subgrid modelling procedures
cites work: A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers
cites work: Q4199478
cites work: Numerical investigation of turbulent channel flow
cites work: The basic equations for the large eddy simulation of turbulent flows in complex geometry
cites work: The nonlinear Galerkin method: A multiscale method applied to the simulation of homogeneous turbulent flows
cites work: The spatial structure and statistical properties of homogeneous turbulence
cites work: Infinite-dimensional dynamical systems in mechanics and physics.
cites work: The nonlinear Galerkin method in computational fluid dynamics
cites work: A nonlinear Galerkin method for the Navier-Stokes equations
cites work: Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence
cites work: Structure and dynamics of homogeneous turbulence: models and simulations
cites work: Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
cites work: Efficient Spectral-Galerkin Method II. Direct Solvers of Second- and Fourth-Order Equations Using Chebyshev Polynomials

Incremental unknowns, multilevel methods and the numerical simulation of turbulence (cites work)
cites work: Implementation of finite element nonlinear Galerkin methods using hierarchical bases

Incremental unknowns, multilevel methods and the numerical simulation of turbulence (cites work)
cites work: Implementation and numerical analysis of the nonlinear Galerkin methods with finite elements discretization

Incremental unknowns, multilevel methods and the numerical simulation of turbulence (cites work)
cites work: Dynamical multilevel schemes for the solution of evolution equations by hierarchical finite element discretization

Incremental unknowns, multilevel methods and the numerical simulation of turbulence (cites work)
cites work: Incremental unknowns for solving partial differential equations

Incremental unknowns, multilevel methods and the numerical simulation of turbulence (cites work)
cites work: Incremental Unknowns in Finite Differences: Condition Number of the Matrix

Incremental unknowns, multilevel methods and the numerical simulation of turbulence (cites work)
cites work: Incremental unknowns for solving nonlinear eigenvalue problems: New multiresolution methods

Incremental unknowns, multilevel methods and the numerical simulation of turbulence (cites work)
cites work: A nonlinear adaptative multiresolution method in finite differences with incremental unknowns