Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
DRBEM Solution of MHD Flow and Electric Potential in a Rectangular Pipe with a Moving Lid Read chapter Read first chapter

2016 | OriginalPaper | Chapter

Numerical Studies on a Second Order Explicitly Decoupled Variational Multiscale Method

Authors : Mine Akbas, Songul Kaya, Leo Rebholz

Published in: Numerical Mathematics and Advanced Applications ENUMATH 2015

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Projection based variational multiscale (VMS) methods are a very successful technique in the numerical simulation of high Reynolds number flow problems using coarse discretizations. However, their implementation into an existing (legacy) codes can be very challenging in practice. We propose a second order variant of projection-based VMS method for non-isothermal flow problems. The method adds stabilization as a decoupled post-processing step for both velocity and temperature, and thus can be efficiently and easily used with existing codes. In this work, we propose the algorithm and give numerical results for convergence rates tests and coarse mesh simulation of Marsigli flow.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Quasi-Optimality Constants for Parabolic Galerkin Approximation in Space
next chapter Numerical Experiments for Multiscale Problems in Linear Elasticity
Literature
1.
M. Belenli, S. Kaya, L. Rebholz, An explicitly decoupled variational multiscale method for incompressible, non-isothermal flows. Comput. Methods Appl. Math. 15, 1–20 (2015)MathSciNetCrossRefMATH
2.
3.
T. Hughes, Multiscale phenomena: green’s functions, the Dirichlet-to-Neumann formulation, subgrid-scale models, bubbles and the origin of stabilized methods. Comput. Methods Appl. Mech. Eng. 127, 387–401 (1995)CrossRefMATH
4.
T. Hughes, L. Mazzei, K. Jansen, Large eddy simulation and variational multiscale method. Comput. Vis. Sci. 3, 47–59 (2000)CrossRefMATH
5.
T. Hughes, L. Mazzei, A. Oberai, A. Wray, The multiscale formulation of large eddy simulation: decay of homogeneous isotropic turbulence. Phys. Fluids 13, 505–512 (2001)CrossRefMATH
6.
T. Hughes, A. Oberai, L. Mazzei, Large eddy simulation of turbulent channel flows by the variational multiscale method. Phys. Fluids 13, 1784–1799 (2001)CrossRefMATH
7.
V. John, On large eddy simulation and variational multiscale methods in the numerical simulation of turbulent incompressible flows. Appl. Math. 51, 321–353 (2006)MathSciNetCrossRefMATH
8.
V. John, M. Roland, Simulations of the turbulent channel flow at Re τ  = 180 with projection-based finite element variational multiscale methods. Int. J. Numer. Methods Fluids 55, 407–429 (2007)
9.
W. Layton, L. Röhe, H. Tran, Explicitly uncoupled VMS stabilization of fluid flow. Comput. Methods Appl. Mech. 200, 3183–3199 (2011)MathSciNetCrossRefMATH
10.
J.G. Liu, C. Wang, H. Johnston, A fourth order scheme for incompressible Boussinesq equations. J. Sci. Comput. 18 (2), 253–285 (2003)MathSciNetCrossRefMATH
11.
I. Monteiro, Numerical methods for regularization models for geophysical flows. Universidade Federal do Rio Grande do Sul, Ph.d thesis (2015)
Metadata
Title
Numerical Studies on a Second Order Explicitly Decoupled Variational Multiscale Method
Authors
Mine Akbas
Songul Kaya
Leo Rebholz
Copyright Year
2016
Book
Numerical Mathematics and Advanced Applications ENUMATH 2015

Print ISBN: 978-3-319-39927-0

Electronic ISBN: 978-3-319-39929-4

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-39929-4_12

Premium Partner

    Image Credits