Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
A high order method for simulation of fluid flow in complex geometries
KTH, School of Engineering Sciences (SCI), Mechanics.
2005 (English)Licentiate thesis, comprehensive summary (Other scientific)
Abstract [en]

A numerical high order difference method is developed for solution of the incompressible Navier-Stokes equations. The solution is determined on a staggered curvilinear grid in two dimensions and by a Fourier expansion in the third dimension. The description in curvilinear body-fitted coordinates is obtained by an orthogonal mapping of the equations to a rectangular grid where space derivatives are determined by compact fourth order approximations. The time derivative is discretized with a second order backward difference method in a semi-implicit scheme, where the nonlinear terms are linearly extrapolated with second order accuracy.

An approximate block factorization technique is used in an iterative scheme to solve the large linear system resulting from the discretization in each time step. The solver algorithm consists of a combination of outer and inner iterations. An outer iteration step involves the solution of two sub-systems, one for prediction of the velocities and one for solution of the pressure. No boundary conditions for the intermediate variables in the splitting are needed and second order time accurate pressure solutions can be obtained.

The method has experimentally been validated in earlier studies. Here it is validated for flow past a circular cylinder as an example of a physical test case and the fourth order method is shown to be efficient in terms of grid resolution. The method is applied to external flow past a parabolic body and internal flow in an asymmetric diffuser in order to investigate the performance in two different curvilinear geometries and to give directions for future development of the method. It is concluded that the novel formulation of boundary conditions need further investigation.

A new iterative solution method for prediction of velocities allows for larger time steps due to less restrictive convergence constraints.

Place, publisher, year, edition, pages
Stockholm: KTH , 2005. , vii, 18 p.
Series
Trita-MEK, ISSN 0348-467X ; 2005:05
Keyword [en]
Technology, Navier-Stokes equations, compact high order difference methods, approximate factorization, curivilinear staggered grids
Keyword [sv]
TEKNIKVETENSKAP
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-322OAI: oai:DiVA.org:kth-322DiVA: diva2:8998
Presentation
2005-05-24, Sal E3, Osquars backe 14, Stockholm, 10:15
Note
QC 20101221Available from: 2005-07-20 Created: 2005-07-20 Last updated: 2010-12-21Bibliographically approved
List of papers
1. A hybrid high order method for incompressible flow in complex geometries/version
Open this publication in new window or tab >>A hybrid high order method for incompressible flow in complex geometries/version
Show others...
2005 (English)Report (Other academic)
Place, publisher, year, edition, pages
Stockholm: KTH, 2005. 51 p.
Series
Trita-MEK, ISSN 0348-467X ; 2005:06
National Category
Engineering and Technology
Identifiers
urn:nbn:se:kth:diva-27739 (URN)KTH/MEK/TR--04/11--SE (ISRN)
Note
QC 20101221Available from: 2010-12-21 Created: 2010-12-21 Last updated: 2010-12-21Bibliographically approved
2. High order accurate solution of flow past a circular cylinder
Open this publication in new window or tab >>High order accurate solution of flow past a circular cylinder
Show others...
2006 (English)In: Journal of Scientific Computing, ISSN 0885-7474, E-ISSN 1573-7691, Vol. 27, no 03-jan, 431-441 p.Article in journal (Refereed) Published
Abstract [en]

A high order method is applied to time-dependent incompressible flow around a circular cylinder geometry. The space discretization employs compact fourth-order difference operators. In time we discretize with a second-order semi-implicit scheme. A large linear system of equations is solved in each time step by a combination of outer and inner iterations. An approximate block factorization of the system matrix is used for preconditioning. Well posed boundary conditions are obtained by an integral formulation of boundary data including a condition on the pressure. Two-dimensional flow around a circular cylinder is studied for Reynolds numbers in the range 7 <= R <= 180. The results agree very well with the data known from numerical and experimental studies in the literature.

Keyword
Navier-Stokes equations, compact fourth-order methods, iterative solution, circular cylinder, vortex shedding, navier-stokes equations, reynolds-numbers, numerical-solutions, staggered grids, wake, schemes
National Category
Engineering and Technology
Identifiers
urn:nbn:se:kth:diva-15736 (URN)10.1007/s10915-005-9043-y (DOI)000238172600030 ()2-s2.0-33745054675 (Scopus ID)
Conference
6th International Conference on Spectral and High Order Methods (ICOSAHOM) Brown Univ, Providence, RI, JUN 21-25, 2004
Note
QC 20100525 QC 20111004. Conference: 6th International Conference on Spectral and High Order Methods (ICOSAHOM). Brown Univ, Providence, RI. JUN 21-25, 2004Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2011-10-04Bibliographically approved
3. Applications of a high order method for fluid flows in complex geometries
Open this publication in new window or tab >>Applications of a high order method for fluid flows in complex geometries
2005 (English)Report (Other academic)
Publisher
20 p.
National Category
Engineering and Technology
Identifiers
urn:nbn:se:kth:diva-27744 (URN)
Note
QC 20101221Available from: 2010-12-21 Created: 2010-12-21 Last updated: 2010-12-21Bibliographically approved

Open Access in DiVA

fulltext(1234 kB)1468 downloads
File information
File name FULLTEXT01.pdfFile size 1234 kBChecksum MD5
cce98b34c76437b0d5d41c82df18dbbeda3def9838d043b922ae434d5b0615a1ee67f8e1
Type fulltextMimetype application/pdf

Search in DiVA

By author/editor
Stålberg, Erik
By organisation
Mechanics
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar
Total: 1468 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 630 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf