An Algorithm for the Numerical Solution of the Pseudo Compressible Navier-stokes Equations Based on the Experimenting Fields Approach

Handle URI:
http://hdl.handle.net/10754/556667
Title:
An Algorithm for the Numerical Solution of the Pseudo Compressible Navier-stokes Equations Based on the Experimenting Fields Approach
Authors:
Salama, Amgad ( 0000-0002-4463-1010 ) ; Sun, Shuyu ( 0000-0002-3078-864X ) ; Amin, Mohamed F. El
Abstract:
In this work, the experimenting fields approach is applied to the numerical solution of the Navier-Stokes equation for incompressible viscous flow. In this work, the solution is sought for both the pressure and velocity fields in the same time. Apparently, the correct velocity and pressure fields satisfy the governing equations and the boundary conditions. In this technique a set of predefined fields are introduced to the governing equations and the residues are calculated. The flow according to these fields will not satisfy the governing equations and the boundary conditions. However, the residues are used to construct the matrix of coefficients. Although, in this setup it seems trivial constructing the global matrix of coefficients, in other setups it can be quite involved. This technique separates the solver routine from the physics routines and therefore makes easy the coding and debugging procedures. We compare with few examples that demonstrate the capability of this technique.
KAUST Department:
Computational Transport Phenomena Lab; Physical Sciences and Engineering (PSE) Division
Citation:
An Algorithm for the Numerical Solution of the Pseudo Compressible Navier-stokes Equations Based on the Experimenting Fields Approach 2015, 51:1229 Procedia Computer Science
Publisher:
Elsevier BV
Journal:
Procedia Computer Science
Conference/Event name:
International Conference on Computational Science, ICCS 2002
Issue Date:
1-Jun-2015
DOI:
10.1016/j.procs.2015.05.303
Type:
Conference Paper
ISSN:
18770509
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S1877050915011114
Appears in Collections:
Conference Papers; Physical Sciences and Engineering (PSE) Division; Computational Transport Phenomena Lab

Full metadata record

DC FieldValue Language
dc.contributor.authorSalama, Amgaden
dc.contributor.authorSun, Shuyuen
dc.contributor.authorAmin, Mohamed F. Elen
dc.date.accessioned2015-06-10T18:15:26Zen
dc.date.available2015-06-10T18:15:26Zen
dc.date.issued2015-06-01en
dc.identifier.citationAn Algorithm for the Numerical Solution of the Pseudo Compressible Navier-stokes Equations Based on the Experimenting Fields Approach 2015, 51:1229 Procedia Computer Scienceen
dc.identifier.issn18770509en
dc.identifier.doi10.1016/j.procs.2015.05.303en
dc.identifier.urihttp://hdl.handle.net/10754/556667en
dc.description.abstractIn this work, the experimenting fields approach is applied to the numerical solution of the Navier-Stokes equation for incompressible viscous flow. In this work, the solution is sought for both the pressure and velocity fields in the same time. Apparently, the correct velocity and pressure fields satisfy the governing equations and the boundary conditions. In this technique a set of predefined fields are introduced to the governing equations and the residues are calculated. The flow according to these fields will not satisfy the governing equations and the boundary conditions. However, the residues are used to construct the matrix of coefficients. Although, in this setup it seems trivial constructing the global matrix of coefficients, in other setups it can be quite involved. This technique separates the solver routine from the physics routines and therefore makes easy the coding and debugging procedures. We compare with few examples that demonstrate the capability of this technique.en
dc.publisherElsevier BVen
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S1877050915011114en
dc.rightsArchived with thanks to Procedia Computer Science, Under a Creative Commons license http://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectexperimenting field approachen
dc.subjectnumerical methodsen
dc.subjectthe continuum hypothesisen
dc.subjectNavier-Stokes equationsen
dc.titleAn Algorithm for the Numerical Solution of the Pseudo Compressible Navier-stokes Equations Based on the Experimenting Fields Approachen
dc.typeConference Paperen
dc.contributor.departmentComputational Transport Phenomena Laben
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalProcedia Computer Scienceen
dc.conference.date2002-04-21 to 2002-04-24en
dc.conference.nameInternational Conference on Computational Science, ICCS 2002en
dc.conference.locationAmsterdam, NLDen
dc.eprint.versionPublisher's Version/PDFen
kaust.authorSalama, Amgaden
kaust.authorSun, Shuyuen
kaust.authorEl-Amin, Mohameden
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