An assessment of two classes of variational multiscale methods for the simulation of incompressible turbulent flows

A numerical assessment of two classes of variational multiscale (VMS) methods for the simulation of incompressible flows is presented. Two types of residual-based VMS methods and two types of projection-based VMS methods are included in this assessment. The numerical simulations are performed at turbulent channel flow problems with various friction Reynolds numbers. It turns out the the residual-based VMS methods, in particular when used with a pair of inf-sup stable finite elements, give usually the most accurate results for second order statistics. For this pair of finite element spaces, a flexible GMRES method with a Least Squares Commutator (LSC) preconditioner proved to be an efficient solver.

Keywords

incompressible turbulent flows, residual-based VMS method, SUPG method, projection-based VMS method, turbulent channel flows, LSC preconditioner

URI

https://oa.tib.eu/renate/handle/123456789/9348
https://doi.org/10.34657/8386

Citation

Ahmed, N., & John, V. (2020). An assessment of two classes of variational multiscale methods for the simulation of incompressible turbulent flows (Vol. 2698). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik. https://doi.org//10.20347/WIAS.PREPRINT.2698

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Mathematik

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