Advances in Variational Multiscale Methods for Turbulent Flows

2010 ◽  
pp. 39-52 ◽  
Author(s):  
Peter Gamnitzer ◽  
Volker Gravemeier ◽  
Wolfgang A. Wall
Keyword(s):  
Turbulent Flows ◽  
Multiscale Methods ◽  
Variational Multiscale ◽  
Variational Multiscale Methods

scholarly journals A node-numbering-invariant directional length scale for simplex elements

2019 ◽  
Vol 29 (14) ◽  
pp. 2719-2753 ◽  
Author(s):  
Kenji Takizawa ◽  
Yuki Ueda ◽  
Tayfun E. Tezduyar
Keyword(s):  
Significant Role ◽  
Multiscale Methods ◽  
Length Scale ◽  
Length Scales ◽  
Variational Multiscale ◽  
The Past ◽  
Stabilized Methods ◽  
Variational Multiscale Methods ◽  
Solution Gradient

Variational multiscale methods, and their precursors, stabilized methods, have been very popular in flow computations in the past several decades. Stabilization parameters embedded in most of these methods play a significant role. The parameters almost always involve element length scales, most of the time in specific directions, such as the direction of the flow or solution gradient. We require the length scales, including the directional length scales, to have node-numbering invariance for all element types, including simplex elements. We propose a length scale expression meeting that requirement. We analytically evaluate the expression in the context of simplex elements and compared to one of the most widely used length scale expressions and show the levels of noninvariance avoided.

scholarly journals An analysis of a class of variational multiscale methods based on subspace decomposition

2018 ◽  
Vol 87 (314) ◽  
pp. 2765-2774 ◽  
Author(s):  
Ralf Kornhuber ◽  
Daniel Peterseim ◽  
Harry Yserentant
Keyword(s):  
Multiscale Methods ◽  
Variational Multiscale ◽  
Subspace Decomposition ◽  
Variational Multiscale Methods
Sign in / Sign up

Export Citation Format

Share Document