Analysis of a reduced-order approximate deconvolution model and its interpretation as a Navier-Stokes-Voigt regularization

DOI10.3934/dcdsb.2016.21.1027zbMath1346.35157arXiv1504.05050OpenAlexW2963631475MaRDI QIDQ316849

Luigi C. Berselli, Tae-Yeon Kim, Leo G. Rebholz

Publication date: 30 September 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.05050

zbMATH Keywords

large eddy simulationnumerical testsenergy spectraapproximate deconvolutionVoigt and NS-Voigt models

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Direct numerical and large eddy simulation of turbulence (76F65) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items

Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data ⋮ Long time dynamics for functional three-dimensional Navier-Stokes-Voigt equations ⋮ Approximate deconvolution models for a fluid-fluid interaction problem with high Reynolds numbers ⋮ A modular Voigt regularization of the Crank-Nicolson finite element method for the Navier-Stokes equations ⋮ Estimates of the discrete van Cittert deconvolution error in approximate deconvolution models of turbulence in bounded domains ⋮ A Nitsche-type variational formulation for the shape deformation of a single component vesicle ⋮ Improved Accuracy in Algebraic Splitting Methods for Navier--Stokes Equations ⋮ Global well-posedness of the velocity-vorticity-Voigt model of the 3D Navier-Stokes equations ⋮ Attractors of the velocity-vorticity-Voigt model of the 3D Navier-Stokes equations with damping ⋮ Existence of weak solution to initial-boundary value problem for finite order Kelvin-Voigt fluid motion model ⋮ Approximate Deconvolution with Correction: A Member of a New Class of Models for High Reynolds Number Flows ⋮ Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis ⋮ On the regularity and convergence of solutions to the 3D Navier-Stokes-Voigt equations ⋮ On an accurate \(\alpha\) model for coarse mesh turbulent channel flow simulation ⋮ Suitable weak solutions to the 3D Navier-Stokes equations are constructed with the Voigt approximation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Leray-\(\alpha\beta\)-deconvolution model: energy analysis and numerical algorithms
• Numerical approximation of the Voigt regularization for incompressible Navier-Stokes and magnetohydrodynamic flows
• Convergence of approximate deconvolution models to the mean Navier-Stokes equations
• A deconvolution enhancement of the Navier-Stokes-\({\alpha}{\beta}\) model
• Numerical analysis of Leray-Tikhonov deconvolution models of fluid motion
• Analysis of a large eddy simulation model based on anisotropic filtering
• Approximate deconvolution models of turbulence. Analysis, phenomenology and numerical analysis.
• On the structural stability of the Euler-Voigt and Navier-Stokes-Voigt models
• Gevrey regularity for the attractor of the 3D Navier-Stokes-Voight equations
• Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models
• On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model
• Direct numerical simulations of the Navier-Stokes alpha model
• Global attractors and determining modes for the 3D Navier-Stokes-Voight equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• A subgrid-scale deconvolution approach for shock capturing
• On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models
• Well-posedness of a reduced order approximate deconvolution turbulence model
• Mathematical and numerical foundations of turbulence models and applications
• On a well-posed turbulence model
• Time-periodic solutions of the Navier-Stokes equations in unbounded cylindrical domains-Leray's problem for periodic flows
• A TWO-LEVEL MULTISCALE DECONVOLUTION METHOD FOR THE LARGE EDDY SIMULATION OF TURBULENT FLOWS
• Mathematics of Large Eddy Simulation of Turbulent Flows
• An approximate deconvolution procedure for large-eddy simulation
• An approximate deconvolution model for large-eddy simulation with application to incompressible wall-bounded flows
• Statistics of the Navier–Stokes-alpha-beta regularization model for fluid turbulence
• Pulsatile Viscous Flows in Elliptical Vessels and Annuli: Solution to the Inverse Problem, with Application to Blood and Cerebrospinal Fluid Flow
• On a Leray–α 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

This page was built for publication: Analysis of a reduced-order approximate deconvolution model and its interpretation as a Navier-Stokes-Voigt regularization