Recent Developments in Variational Multiscale Meth

Authors: Ursula Rasthofer Volker Gravemeier

Publish Date: 2017/02/27

Volume: 25, Issue: 3, Pages: 647-690

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Abstract

The variational multiscale method is reviewed as a framework for developing computational methods for largeeddy simulation of turbulent flow In contrast to other articles reviewing this topic which focused on largeeddy simulation of turbulent incompressible flow this study covers further aspects of numerically simulating turbulent flow as well as applications beyond incompressible singlephase flow The various concepts for subgridscale modeling within the variational multiscale method for largeeddy simulation proposed by researchers in this field to date are illustrated These conceptions comprise i implicit largeeddy simulation represented by residualbased and stabilized methods ii functional subgridscale modeling via smallscale subgridviscosity models and iii structural subgridscale modeling via the introduction of multifractal subgrid scales An overview on exemplary numerical test cases to which the reviewed methods have been applied in the past years is provided including explicit computational results obtained from turbulent channel flow Walllayer modeling passive and active scalar transport as well as developments for largeeddy simulation of turbulent twophase flow and combustion are discussed to complete this exposition

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