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| Title: | An assessment of two classes of variational multiscale methods for the simulation of incompressible turbulent flows |
| Authors: | Ahmed, Naveed; John, Volker |
| Publishers version: | https://doi.org/10.20347/WIAS.PREPRINT.2698 |
| URI: | https://oa.tib.eu/renate/handle/123456789/9348 https://doi.org/10.34657/8386 |
| Other version: | https://doi.org/10.1016/j.cma.2020.112997 |
| Issue Date: | 2020 |
| Journal: | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik |
| Volume: | 2698 |
| Publisher: | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik |
| Abstract: | 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 |
| Type: | report; Text |
| Publishing status: | publishedVersion |
| DDC: | 510 |
| License: | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. |
| Appears in Collections: | Mathematik |
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Ahmed, Naveed and Volker John, 2020. An assessment of two classes of variational multiscale methods for the simulation of incompressible turbulent flows. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Ahmed, N. and John, V. (2020) An assessment of two classes of variational multiscale methods for the simulation of incompressible turbulent flows. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik. doi: https://doi.org/10.20347/WIAS.PREPRINT.2698.
Ahmed N, John V. 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; 2020.
Ahmed, N., & John, V. (2020). An assessment of two classes of variational multiscale methods for the simulation of incompressible turbulent flows (Version publishedVersion, Vol. 2698). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik. https://doi.org/https://doi.org/10.20347/WIAS.PREPRINT.2698
Ahmed N, John V. 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; 2020. doi:https://doi.org/10.20347/WIAS.PREPRINT.2698
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