Modeling subgrid viscosity for advection–diffusion problems
Reads0
Chats0
TLDR
In this article, the effect of the subgrid viscosity on a finite element discretisation, with piecewise linear elements, of a linear advection-diffusion scalar equation is analyzed.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2000-12-22 and is currently open access. It has received 41 citations till now. The article focuses on the topics: Convection–diffusion equation & Viscosity.read more
Citations
More filters
Journal ArticleDOI
Large Eddy Simulation and the variational multiscale method
TL;DR: In this paper, a large eddy simulation (LES) formulation is developed from the variational multiscale method, which is confined to the effect of a small-scale Reynolds stress, in contrast with classical LES in which the entire subgrid-scale stress is modeled.
Reference EntryDOI
Multiscale and Stabilized Methods
TL;DR: A general treatment of the variational multiscale method in the context of an abstract Dirichlet problem is then presented which is applicable to advective-diffusive processes and other processes of physical interest as mentioned in this paper.
Journal ArticleDOI
A multiscale finite element method for the incompressible Navier-Stokes equations
Arif Masud,Rooh Ul Amin Khurram +1 more
TL;DR: In this paper, a multiscale finite element method for the incompressible Navier-Stokes equations is proposed, which is based on a decomposition of the velocity field into coarse/resolved scales and fine/unsolved scales.
Journal ArticleDOI
A multiscale/stabilized finite element method for the advection–diffusion equation
Arif Masud,Rooh Ul Amin Khurram +1 more
TL;DR: In this article, a multiscale method was proposed to yield a stabilized finite element formulation for the advection-diffusion equation, which is free of any user-designed or user-defined parameters.
Journal ArticleDOI
Mathematical Perspectives on Large Eddy Simulation Models for Turbulent Flows
TL;DR: The main objective of as discussed by the authors is to review and report on key mathematical issues related to the theory of large eddy simulation of turbulent flows, and to provide mathematical justifications for several LES models.
References
More filters
Journal ArticleDOI
Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
TL;DR: In this paper, an approach is developed for deriving variational methods capable of representing multiscale phenomena, which leads to the well-known Dirichlet-to-Neumann formulation.
Journal ArticleDOI
Large Eddy Simulation and the variational multiscale method
TL;DR: In this paper, a large eddy simulation (LES) formulation is developed from the variational multiscale method, which is confined to the effect of a small-scale Reynolds stress, in contrast with classical LES in which the entire subgrid-scale stress is modeled.
Journal ArticleDOI
Stabilized finite element methods. I: Application to the advective-diffusive model
TL;DR: In this article, a review of stabilized finite element methods for the Navier-Stokes problem is presented, and a global convergence analysis is presented and numerical experiments are performed, and the design of the stability parameter is confirmed to be a crucial ingredient for simulating the advective-diffusive model, and improved possibilities are suggested.
Book
Numerical methods for singularly perturbed differential equations : convection-diffusion and flow problems
TL;DR: In this article, the analytical behavior of solutions for second-order boundary value problems and higher-order problems was analyzed. But the analytical behaviour of solutions was not analyzed for the first order boundary value problem.
Related Papers (5)
Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
A. N. Brooks,Thomas J. R. Hughes +1 more