The reduced order NS-αmodel for incompressible flow: theory, numerical analysis and benchmark testing
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Publication:5254424
DOI10.1051/m2an/2014053zbMath1321.76032OpenAlexW2084131185MaRDI QIDQ5254424
Leo G. Rebholz, Argus A. Dunca, Victoria Cuff, Carolina Cardoso Manica
Publication date: 9 June 2015
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2014053
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Direct numerical and large eddy simulation of turbulence (76F65) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On Taylor/Eddy solutions of approximate deconvolution models of turbulence
- Numerical analysis of Leray-Tikhonov deconvolution models of fluid motion
- Approximate deconvolution models of turbulence. Analysis, phenomenology and numerical analysis.
- On the structural stability of the Euler-Voigt and Navier-Stokes-Voigt models
- On the accuracy of the rotation form in simulations of the Navier-Stokes equations
- Existence theory of abstract approximate deconvolution models of turbulence
- Global attractors and determining modes for the 3D Navier-Stokes-Voight equations
- A subgrid-scale deconvolution approach for shock capturing
- An interpretation of the Navier-Stokes-alpha model as a frame-indifferent Leray regularization
- Boundary layer for the Navier-Stokes-alpha model of fluid turbulence
- On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models
- On the stability of the $L^2$ projection in $H^1(\Omega)$
- Enabling numerical accuracy of Navier-Stokes-αthrough deconvolution and enhanced stability
- A study of the Navier–Stokes-α model for two-dimensional turbulence
- A TWO-LEVEL MULTISCALE DECONVOLUTION METHOD FOR THE LARGE EDDY SIMULATION OF TURBULENT FLOWS
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- Direct numerical simulation of turbulent channel flow up to Reτ=590
- An approximate deconvolution procedure for large-eddy simulation
- A connection between the Camassa–Holm equations and turbulent flows in channels and pipes
- A numerical study of the alpha model for two-dimensional magnetohydrodynamic turbulent flows
- An approximate deconvolution model for large-eddy simulation with application to incompressible wall-bounded flows
- The approximate deconvolution model for large-eddy simulations of compressible flows and its application to shock-turbulent-boundary-layer interaction
- ON THE HIGH ACCURACY NS-ALPHA-DECONVOLUTION TURBULENCE MODEL
- Finite Element Methods for Navier-Stokes Equations
- Approximation of time‐dependent, viscoelastic fluid flow: Crank‐Nicolson, finite element approximation
- Reference values for drag and lift of a two‐dimensional time‐dependent flow around a cylinder
- Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow
- A new family of stable mixed finite elements for the 3D Stokes equations
- Turbulence statistics in fully developed channel flow at low Reynolds number
- An Augmented Lagrangian‐Based Approach to the Oseen Problem
- Simulations of the turbulent channel flow at Reτ = 180 with projection‐based finite element variational multiscale methods
- Numerical analysis and computational testing of a high accuracy Leray‐deconvolution model of turbulence
- On the Stolz--Adams Deconvolution Model for the Large-Eddy Simulation of Turbulent Flows
- Efficient, Unconditionally Stable, and Optimally Accurate FE Algorithms for Approximate Deconvolution Models
- The Navier-Stokes-alpha model of fluid turbulence
- The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory
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