Estimates of the modeling error of the \(\alpha \)-models of turbulence in two and three space dimensions
type: Item
instance of: scholarly article
title: Estimates of the modeling error of the \(\alpha \)-models of turbulence in two and three space dimensions
zbMATH Open document ID: 1401.35236
author: Argus Adrian Dunca
published in: Journal of Mathematical Fluid Mechanics
publication date: 2018-10-16T00:00:00Z
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 6955600
zbMATH Keywords: Leray-\(\alpha \)
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: Navier-Stokes-\(\alpha \) model
zbMATH Keywords: modified Leray-\(\alpha \) model
zbMATH Keywords: Leray-deconvolution model
zbMATH Keywords: viscous Camassa-Holm
zbMATH Keywords: zeroth ADM model
zbMATH Keywords: simplified bardina model
zbMATH Keywords: Helmholtz filter
MaRDI profile type: Publication
full work available at URL: s00021-017-0357-y
OpenAlex ID: W2775997819
cites work: Remarks on the breakdown of smooth solutions for the 3-D Euler equations
cites work: Convergence of approximate deconvolution models to the mean magnetohydrodynamics equations: analysis of two models
cites work: Convergence of approximate deconvolution models to the mean Navier-Stokes equations
cites work: Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models
cites work: On the Rate of Convergence of the Two-Dimensional α-Models of Turbulence to the Navier–Stokes Equations
cites work: A rate of convergence for the LANS\(\alpha\) regularization of Navier-Stokes equations
cites work: On the convergence of solutions of the Leray-\(\alpha\) model to the trajectory attractor of the 3D Navier-Stokes system
cites work: On a Leray–α model of turbulence
cites work: The reduced order NS-αmodel for incompressible flow: theory, numerical analysis and benchmark testing
cites work: FINITE ELEMENT ERROR ANALYSIS OF SPACE AVERAGED FLOW FIELDS DEFINED BY A DIFFERENTIAL FILTER
cites work: Modeling error in approximate deconvolution models
cites work: The Navier-Stokes-alpha model of fluid turbulence
cites work: The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory
cites work: Q2702181
cites work: Efficient, Unconditionally Stable, and Optimally Accurate FE Algorithms for Approximate Deconvolution Models
cites work: Differential filters for the large eddy numerical simulation of turbulent flows
cites work: Differential filters of elliptic type
cites work: Stability of the Crank–Nicolson–Adams–Bashforth scheme for the 2D Leray‐alpha model
cites work: Q3957333
cites work: A modified-Leray-α subgrid scale model of turbulence
cites work: On Crank-Nicolson Adams-Bashforth timestepping for approximate deconvolution models in two dimensions
cites work: CONVERGENCE ANALYSIS OF THE FINITE ELEMENT METHOD FOR A FUNDAMENTAL MODEL IN TURBULENCE
cites work: On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models
cites work: Q3527991
cites work: A simple and stable scale-similarity model for large eddy simulation: Energy balance and existence of weak solutions
cites work: On a well-posed turbulence model
cites work: A HIGH ACCURACY LERAY-DECONVOLUTION MODEL OF TURBULENCE AND ITS LIMITING BEHAVIOR
cites work: Numerical analysis and computational testing of a high accuracy Leray‐deconvolution model of turbulence
cites work: Numerical analysis and computational comparisons of the NS-alpha and NS-omega regularizations
cites work: On the convergence rate of the Euler-\(\alpha \), an inviscid second-grade complex fluid, model to the Euler equations
cites work: An enhanced-physics-based scheme for the NS-α turbulence model
cites work: Filtering techniques for complex geometry fluid flows
cites work: Un teorema di unicita per le equazioni di Navier-Stokes
cites work: On an accurate \(\alpha\) model for coarse mesh turbulent channel flow simulation
cites work: Q5723392
DOI: 10.1007/S00021-017-0357-Y
description: scientific article; zbMATH DE number 6955600