Homogenization of a large eddy simulation model for turbulent fluid motion near a rough wall
type: Item
instance of: scholarly article
title: Homogenization of a large eddy simulation model for turbulent fluid motion near a rough wall
zbMATH Open document ID: 1411.35025
author: Matthieu Bonnivard
author: F. J. Suárez-Grau
published in: Journal of Mathematical Fluid Mechanics
publication date: 2018-12-21T00:00:00Z
review text: The paper under review deals with the numerical simulation of a turbulent viscous flow close to a periodic rough wall. More precisely, the authors consider the so-called large eddy simulation (LES) model and discuss the asymptotic behavior as the period \(\epsilon\) of the roughness tend to zero. Via homogenization, they find a critical scaling associated with the parameter \[ \lambda\equiv \lim_{\epsilon \to 0}\frac{a_\epsilon}{\epsilon^{5/3}}, \] where \(a_\epsilon\) is the amplitude of the roughness. For \(0<\lambda<\infty\) the roughness effect provides an additional nonlinear friction term which depends on an auxiliary nonlinear problem, which is solved by a numerical model based on a fixed point algorithm. Finally, they discuss the influence of the parameter \(\lambda\) for some geometrical settings.
reviewed by: Paolo Musolino
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 76F65
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 6996683
zbMATH Keywords: turbulence model
zbMATH Keywords: roughness effect
zbMATH Keywords: additional nonlinear friction
describes a project that uses: FreeFem++
MaRDI profile type: Publication
full work available at URL: s00021-018-0389-y
OpenAlex ID: W2807622894
cites work: A subgrid-scale deconvolution approach for shock capturing
cites work: Homogenization and Two-Scale Convergence
cites work: Q4362937
cites work: Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
cites work: New Perspectives in Turbulence: Scaling Laws, Asymptotics, and Intermittency
cites work: Wall laws for fluid flows at a boundary with random roughness
cites work: MATHEMATICAL ANALYSIS FOR THE RATIONAL LARGE EDDY SIMULATION MODEL
cites work: Mathematics of Large Eddy Simulation of Turbulent Flows
cites work: Q5709085
cites work: Q4748596
cites work: Mixed and Hybrid Finite Element Methods
cites work: On the asymptotic limit of flows past a ribbed boundary
cites work: Boundary behavior of viscous fluids: Influence of wall roughness and friction-driven boundary conditions
cites work: Exponential decay for the solutions of nonlinear elliptic systems posed in unbounded cylinders
cites work: Why viscous fluids adhere to rugose walls: A mathematical explanation.
cites work: ASYMPTOTIC BEHAVIOR OF A VISCOUS FLUID WITH SLIP BOUNDARY CONDITIONS ON A SLIGHTLY ROUGH WALL
cites work: Periodic unfolding and homogenization
cites work: A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers
cites work: An Introduction to the Mathematical Theory of the Navier-Stokes Equations
cites work: APPROXIMATION OF THE LARGER EDDIES IN FLUID MOTIONS II: A MODEL FOR SPACE-FILTERED FLOW
cites work: The Navier wall law at a boundary with random roughness
cites work: Boundary layer for a non-Newtonian flow over a rough surface
cites work: Finite Element Methods for Navier-Stokes Equations
cites work: New development in freefem++
cites work: On the roughness-induced effective boundary conditions for an incompressible viscous flow
cites work: Couette flows over a rough boundary and drag reduction
cites work: Q3245939
cites work: Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder
cites work: Q5890172
cites work: A General Convergence Result for a Functional Related to the Theory of Homogenization
cites work: Turbulent Flows
cites work: Large Eddy Simulation for Incompressible Flows
cites work: Effective boundary condition for a quasi‐Newtonian viscous fluid at a slightly rough boundary starting from a Navier condition
cites work: An introduction to Navier-Stokes equation and oceanography.
cites work: Large eddy simulation of turbulent incompressible flows. Analytical and numerical results for a class of LES models.
Wikidata QID: Q129395589
DOI: 10.1007/S00021-018-0389-Y
description: scientific article; zbMATH DE number 6996683