Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Accuracy in a finite volume godunov type method

Bauer, M. ; Birken, P. LU ; Hannemann, V. and Oßwald, K. (2013) 121. p.387-394
Abstract
The standard Godunov type method used in computational fluid dynamics shows accuracy problems for low Mach number flows and for the kinetic energy at the highest wave numbers resolvable on a given grid. Both drawbacks become visible when simulating the decay of isotropic turbulence at the low Mach numbers typical for the respective experimental investigations. A modification to cure both problems is proposed by Thornber et al. [10] with a mathematical motivation in case of a special fifth order reconstruction. The theoretical results are repeated here. Numerical results are achieved for schemes not investigated in that literature, namely AUSMDV and AUSM + -up which includes already modifications for low Mach number flows. First experiences... (More)
The standard Godunov type method used in computational fluid dynamics shows accuracy problems for low Mach number flows and for the kinetic energy at the highest wave numbers resolvable on a given grid. Both drawbacks become visible when simulating the decay of isotropic turbulence at the low Mach numbers typical for the respective experimental investigations. A modification to cure both problems is proposed by Thornber et al. [10] with a mathematical motivation in case of a special fifth order reconstruction. The theoretical results are repeated here. Numerical results are achieved for schemes not investigated in that literature, namely AUSMDV and AUSM + -up which includes already modifications for low Mach number flows. First experiences with Thornber's modification confirm the positive influence in combination with AUSMDV even if the reconstruction is only of second order. In combination with AUSM + -up Thornber's modification provides too little damping when used without subgrid scale modelling. textcopyright 2013 Springer-Verlag Berlin Heidelberg. (Less)
Please use this url to cite or link to this publication:
author
; ; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
host publication
New Results in Numerical and Experimental Fluid Mechanics VIII : Contributions to the 17th STAB/DGLR Symposium Berlin, Germany 2010 - Contributions to the 17th STAB/DGLR Symposium Berlin, Germany 2010
editor
Heller, G. ; Kreplin, H.-P- ; Nitzsche, W. and Peltzer, I.
volume
121
pages
387 - 394
publisher
Springer
external identifiers
  • scopus:84873686959
ISBN
9783642356797
DOI
10.1007/978-3-642-35680-3_46
language
English
LU publication?
yes
id
d484ed87-7257-4f97-b5d0-5f5b666a5858
date added to LUP
2019-02-08 11:19:43
date last changed
2022-01-31 17:32:29
@inproceedings{d484ed87-7257-4f97-b5d0-5f5b666a5858,
  abstract     = {{The standard Godunov type method used in computational fluid dynamics shows accuracy problems for low Mach number flows and for the kinetic energy at the highest wave numbers resolvable on a given grid. Both drawbacks become visible when simulating the decay of isotropic turbulence at the low Mach numbers typical for the respective experimental investigations. A modification to cure both problems is proposed by Thornber et al. [10] with a mathematical motivation in case of a special fifth order reconstruction. The theoretical results are repeated here. Numerical results are achieved for schemes not investigated in that literature, namely AUSMDV and AUSM + -up which includes already modifications for low Mach number flows. First experiences with Thornber's modification confirm the positive influence in combination with AUSMDV even if the reconstruction is only of second order. In combination with AUSM + -up Thornber's modification provides too little damping when used without subgrid scale modelling. textcopyright 2013 Springer-Verlag Berlin Heidelberg.}},
  author       = {{Bauer, M. and Birken, P. and Hannemann, V. and Oßwald, K.}},
  booktitle    = {{New Results in Numerical and Experimental Fluid Mechanics VIII : Contributions to the 17th STAB/DGLR Symposium Berlin, Germany 2010}},
  editor       = {{Heller, G. and Kreplin, H.-P- and Nitzsche, W. and Peltzer, I.}},
  isbn         = {{9783642356797}},
  language     = {{eng}},
  pages        = {{387--394}},
  publisher    = {{Springer}},
  title        = {{Accuracy in a finite volume godunov type method}},
  url          = {{http://dx.doi.org/10.1007/978-3-642-35680-3_46}},
  doi          = {{10.1007/978-3-642-35680-3_46}},
  volume       = {{121}},
  year         = {{2013}},
}