Dissipative Structure and Long Term Behavior of a Finite Element Approximation of Incompressible Flows with Numerical Subgrid Scale Modeling

DOI10.1007/978-90-481-9809-2_5zbMath1323.76048OpenAlexW98781986MaRDI QIDQ3447716

Ramon Codina, Santiago Badia, Javier Principe

Publication date: 28 October 2015

Published in: Multiscale Methods in Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-90-481-9809-2_5

zbMATH Keywords

large eddy simulationincompressible flowslong term behaviorenergy budgetdynamic sub-grid scalesscale splitting

Mathematics Subject Classification ID

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

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Cites Work

• Subscales on the element boundaries in the variational two-scale finite element method
• Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
• On a multiscale approach to the transient Stokes problem: dynamic subscales and anisotropic space-time discretization
• Time dependent subscales in the stabilized finite element approximation of incompressible flow problems
• Infinite-dimensional dynamical systems in mechanics and physics
• The variational multiscale method -- a paradigm for computational mechanics
• Analysis of a pressure-stabilized finite element approximation of the stationary Navier-Stokes equations
• Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
• Comparison of some finite element methods for solving the diffusion-convection-reaction equation
• A new approach to computational turbulence modeling
• The dissipative structure of variational multiscale methods for incompressible flows
• Statistical behavior of the orthogonal subgrid scale stabilization terms in the finite element large eddy simulation of turbulent flows
• Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales
• Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
• A stabilized finite element procedure for turbulent fluid–structure interaction using adaptive time–space refinement
• Turbulent Flows
• Dynamic subscales in the finite element approximation of thermally coupled incompressible flows
• Long-Term Stability Estimates and Existence of a Global Attractor in a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling
• A stabilized finite element method for generalized stationary incompressible flows
• Large eddy simulation and the variational multiscale method
• Space and time error estimates for a first-order, pressure-stabilized finite element method for the incompressible Navier-Stokes equations