The development of a Cartesian cut cell method for incompressible viscous flows

2.50
Hdl Handle:
http://hdl.handle.net/2173/13308
Title:
The development of a Cartesian cut cell method for incompressible viscous flows
Authors:
Gao, Feng; Ingram, David M.; Causon, Derek M.; Mingham, Clive G.
Citation:
International journal for numerical methods in fluids, 2007, vol. 54, no. 9, pp. 1033-1053
Publisher:
John Wiley & Sons Ltd.
Issue Date:
30-Jul-2007
URI:
http://hdl.handle.net/2173/13308
DOI:
10.1002/fld.1409
Additional Links:
http://www3.interscience.wiley.com/cgi-bin/jhome/2861
Abstract:
This paper describes the extension of the Cartesian cut cell method to applications involving unsteady incompressible viscous fluid flow. The underlying scheme is based on the solution of the full Navier-Stokes equations for a variable density fluid system using the artificial compressibility technique together with a Jameson-type dual time iteration. The computational domain encompasses two fluid regions and the interface between them is treated as a contact discontinuity in the density field, thereby eliminating the need for special free surface tracking procedures. The Cartesian cut cell technique is used for fitting the complex geometry of solid boundaries across a stationary background Cartesian grid which is located inside the computational domain. A time accurate solution is achieved by using an implicit dual-time iteration technique based on a slope-limited, high-order, Godunov-type scheme for the inviscid fluxes, while the viscous fluxes are estimated using central differencing. Validation of the new technique is by modelling the unsteady Couette flow and the Rayleigh-Taylor instability problems. Finally, a test case for wave run-up and overtopping over an impermeable sea dike is performed.
Type:
Article
Language:
en
Description:
Full-text of this article is not available in this e-prints service. This article was originally published following peer-review in the International journal for numerical methods in fluids, published by and copyright John Wiley & Sons Ltd.
Keywords:
Cartesian cut cell; Incompressible; Viscous flow; Free surface
ISSN:
0271-2091
EISSN:
1097-0363
Sponsors:
EPSRC; Grant Number: GR/T18622/01; Scottish Funding Council

Full metadata record

DC FieldValue Language
dc.contributor.authorGao, Feng-
dc.contributor.authorIngram, David M.-
dc.contributor.authorCauson, Derek M.-
dc.contributor.authorMingham, Clive G.-
dc.date.accessioned2007-08-20T14:18:41Z-
dc.date.available2007-08-20T14:18:41Z-
dc.date.issued2007-07-30-
dc.identifier.citationInternational journal for numerical methods in fluids, 2007, vol. 54, no. 9, pp. 1033-1053en
dc.identifier.issn0271-2091-
dc.identifier.doi10.1002/fld.1409-
dc.identifier.urihttp://hdl.handle.net/2173/13308-
dc.descriptionFull-text of this article is not available in this e-prints service. This article was originally published following peer-review in the International journal for numerical methods in fluids, published by and copyright John Wiley & Sons Ltd.en
dc.description.abstractThis paper describes the extension of the Cartesian cut cell method to applications involving unsteady incompressible viscous fluid flow. The underlying scheme is based on the solution of the full Navier-Stokes equations for a variable density fluid system using the artificial compressibility technique together with a Jameson-type dual time iteration. The computational domain encompasses two fluid regions and the interface between them is treated as a contact discontinuity in the density field, thereby eliminating the need for special free surface tracking procedures. The Cartesian cut cell technique is used for fitting the complex geometry of solid boundaries across a stationary background Cartesian grid which is located inside the computational domain. A time accurate solution is achieved by using an implicit dual-time iteration technique based on a slope-limited, high-order, Godunov-type scheme for the inviscid fluxes, while the viscous fluxes are estimated using central differencing. Validation of the new technique is by modelling the unsteady Couette flow and the Rayleigh-Taylor instability problems. Finally, a test case for wave run-up and overtopping over an impermeable sea dike is performed.en
dc.description.sponsorshipEPSRC; Grant Number: GR/T18622/01; Scottish Funding Councilen
dc.language.isoenen
dc.publisherJohn Wiley & Sons Ltd.en
dc.relation.urlhttp://www3.interscience.wiley.com/cgi-bin/jhome/2861en
dc.subjectCartesian cut cellen
dc.subjectIncompressibleen
dc.subjectViscous flowen
dc.subjectFree surfaceen
dc.titleThe development of a Cartesian cut cell method for incompressible viscous flowsen
dc.typeArticleen
dc.identifier.eissn1097-0363-
dc.format.digYES-
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