Convergence analysis of a fully discrete family of iterated deconvolution methods for turbulence modeling with time relaxation

DOI10.1155/2012/162539zbMath1383.76378OpenAlexW2030815863WikidataQ58698646 ScholiaQ58698646MaRDI QIDQ1953192

Yanyan Li

Publication date: 7 June 2013

Published in: Advances in Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/162539

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Direct numerical and large eddy simulation of turbulence (76F65) Numerical solution to inverse problems in abstract spaces (65J22)

Uses Software

• FreeFem++

Cites Work

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• Numerical analysis of Leray-Tikhonov deconvolution models of fluid motion
• Approximate deconvolution models of turbulence. Analysis, phenomenology and numerical analysis.
• A penalty finite element method based on the Euler implicit/explicit scheme for the time-dependent Navier-Stokes equations
• Truncation of scales by time relaxation
• On the choice of the regularization parameter for iterated Tikhonov regularization of ill-posed problems
• Nonstationary iterated Tikhonov regularization
• Extrapolation techniques for ill-conditioned linear systems
• Comparison of some upwind-biased high-order formulations with a second-order central-difference scheme for time integration of the incompressible Navier-Stokes equations
• Numerical analysis and computational comparisons of the NS-alpha and NS-omega regularizations
• The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data
• A Cascade of Structure in a Drop Falling from a Faucet
• Numerical implementation of the Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations
• Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
• The approximate deconvolution model for large-eddy simulations of compressible flows and its application to shock-turbulent-boundary-layer interaction
• Finite Element Methods for Navier-Stokes Equations
• An a posteriori parameter choice for ordinary and iterated Tikhonov regularization of ill-posed problems leading to optimal convergence rates
• Differential filters of elliptic type
• Approximation of generalized inverses by iterated regularization
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• A novel blind-deconvolution method with an application to seismology
• A fully discrete stabilized finite-element method for the time-dependent Navier-Stokes problem
• CONVERGENCE ANALYSIS OF THE FINITE ELEMENT METHOD FOR A FUNDAMENTAL MODEL IN TURBULENCE
• Analysis of Numerical Errors in Large Eddy Simulation
• Use of extrapolation in regularization methods
• Numerical analysis and computational testing of a high accuracy Leray‐deconvolution model of turbulence
• Numerical Solution of the Navier-Stokes Equations
• The Navier-Stokes-alpha model of fluid turbulence