The Leray-\(\alpha\beta\)-deconvolution model: energy analysis and numerical algorithms
DOI10.1016/j.apm.2012.03.040zbMath1351.76049OpenAlexW1969526950MaRDI QIDQ350459
Eliot Fried, Abigail L. Bowers, Leo G. Rebholz, Tae-Yeon Kim, Monika Neda
Publication date: 7 December 2016
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2012.03.040
Navier-Stokes equationsfinite element methodapproximate deconvolutiondissipation scale modelingLeray model
Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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Cites Work
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- A deconvolution enhancement of the Navier-Stokes-\({\alpha}{\beta}\) model
- Approximate deconvolution models of turbulence. Analysis, phenomenology and numerical analysis.
- Quadratic divergence-free finite elements on Powell--Sabin tetrahedral grids
- A numerical study of the Navier-Stokes-\(\alpha \beta \) model
- Truncation of scales by time relaxation
- Tractions, balances, and boundary conditions for nonsimple materials with application to liquid flow at small-length scales
- Conservation laws of turbulence models
- Stabilized finite element schemes for incompressible flow using Scott-Vogelius elements
- Non-nested multi-grid solvers for mixed divergence-free scott-vogelius discretizations
- A continuum mechanical theory for turbulence: a generalized Navier-Stokes-\(\alpha\) equation with boundary conditions
- A right-inverse for divergence operator in spaces of piecewise polynomials. Application to the p-version of the finite element method
- An analysis of the p-version of the finite element method for nearly incompressible materials. Uniformly valid, optimal error estimates
- An interpretation of the Navier-Stokes-alpha model as a frame-indifferent Leray regularization
- Slip with friction and penetration with resistance boundary conditions for the Navier-Stokes equations -- numerical tests and aspects of the implementation
- Numerical analysis and computational comparisons of the NS-alpha and NS-omega regularizations
- On an efficient finite element method for Navier-Stokes-\(\overline{\omega}\) with strong mass conservation
- A family of new, high order NS-\(\alpha \) models arising from helicity correction in Leray turbulence models
- Enabling numerical accuracy of Navier-Stokes-αthrough deconvolution and enhanced stability
- Leray and LANS-α modelling of turbulent mixing
- On the accuracy of the viscous form in simulations of incompressible flow problems
- Convergence analysis and computational testing of the finite element discretization of the Navier-Stokes alpha model
- An enhanced-physics-based scheme for the NS-α turbulence model
- A Connection Between Scott–Vogelius and Grad-Div Stabilized Taylor–Hood FE Approximations of the Navier–Stokes Equations
- Divergence-free finite elements on tetrahedral grids for $k\ge6$
- A HIGH ACCURACY LERAY-DECONVOLUTION MODEL OF TURBULENCE AND ITS LIMITING BEHAVIOR
- The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers
- An approximate deconvolution procedure for large-eddy simulation
- An approximate deconvolution model for large-eddy simulation with application to incompressible wall-bounded flows
- Regularization modeling for large-eddy simulation
- ON THE HIGH ACCURACY NS-ALPHA-DECONVOLUTION TURBULENCE MODEL
- Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials
- A similarity theory of locally homogeneous and isotropic turbulence generated by a Smagorinsky-type LES
- 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
- Stability and Convergence of the Crank–Nicolson/Adams–Bashforth scheme for the Time‐Dependent Navier–Stokes Equations
- On a Leray–α model of turbulence
- Numerical analysis and computational testing of a high accuracy Leray‐deconvolution model of turbulence
- 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