A meshless scheme for incompressible fluid flow using a velocity-pressure correction method

Handle URI:
http://hdl.handle.net/10754/563119
Title:
A meshless scheme for incompressible fluid flow using a velocity-pressure correction method
Authors:
Bourantas, Georgios; Loukopoulos, Vassilios C.
Abstract:
A meshless point collocation method is proposed for the numerical solution of the steady state, incompressible Navier-Stokes (NS) equations in their primitive u-v-p formulation. The flow equations are solved in their strong form using either a collocated or a semi-staggered "grid" configuration. The developed numerical scheme approximates the unknown field functions using the Moving Least Squares approximation. A velocity, along with a pressure correction scheme is applied in the context of the meshless point collocation method. The proposed meshless point collocation (MPC) scheme has the following characteristics: (i) it is a truly meshless method, (ii) there is no need for pressure boundary conditions since no pressure constitutive equation is solved, (iii) it incorporates simplicity and accuracy, (iv) results can be obtained using collocated or semi-staggered "grids", (v) there is no need for the usage of a curvilinear system of coordinates and (vi) it can solve steady and unsteady flows. The lid-driven cavity flow problem, for Reynolds numbers up to 5000, has been considered, by using both staggered and collocated grid configurations. Following, the Backward-Facing Step (BFS) flow problem was considered for Reynolds numbers up to 800 using a staggered grid. As a final example, the case of a laminar flow in a two-dimensional tube with an obstacle was examined. © 2013 Elsevier Ltd.
KAUST Department:
Applied Mathematics and Computational Science Program; Biological and Environmental Sciences and Engineering (BESE) Division; Physical Sciences and Engineering (PSE) Division
Publisher:
Elsevier BV
Journal:
Computers & Fluids
Issue Date:
Dec-2013
DOI:
10.1016/j.compfluid.2013.09.010
Type:
Article
ISSN:
00457930
Appears in Collections:
Articles; Applied Mathematics and Computational Science Program; Physical Sciences and Engineering (PSE) Division; Biological and Environmental Sciences and Engineering (BESE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorBourantas, Georgiosen
dc.contributor.authorLoukopoulos, Vassilios C.en
dc.date.accessioned2015-08-03T11:36:12Zen
dc.date.available2015-08-03T11:36:12Zen
dc.date.issued2013-12en
dc.identifier.issn00457930en
dc.identifier.doi10.1016/j.compfluid.2013.09.010en
dc.identifier.urihttp://hdl.handle.net/10754/563119en
dc.description.abstractA meshless point collocation method is proposed for the numerical solution of the steady state, incompressible Navier-Stokes (NS) equations in their primitive u-v-p formulation. The flow equations are solved in their strong form using either a collocated or a semi-staggered "grid" configuration. The developed numerical scheme approximates the unknown field functions using the Moving Least Squares approximation. A velocity, along with a pressure correction scheme is applied in the context of the meshless point collocation method. The proposed meshless point collocation (MPC) scheme has the following characteristics: (i) it is a truly meshless method, (ii) there is no need for pressure boundary conditions since no pressure constitutive equation is solved, (iii) it incorporates simplicity and accuracy, (iv) results can be obtained using collocated or semi-staggered "grids", (v) there is no need for the usage of a curvilinear system of coordinates and (vi) it can solve steady and unsteady flows. The lid-driven cavity flow problem, for Reynolds numbers up to 5000, has been considered, by using both staggered and collocated grid configurations. Following, the Backward-Facing Step (BFS) flow problem was considered for Reynolds numbers up to 800 using a staggered grid. As a final example, the case of a laminar flow in a two-dimensional tube with an obstacle was examined. © 2013 Elsevier Ltd.en
dc.publisherElsevier BVen
dc.subjectIncompressible flowen
dc.subjectMeshless methoden
dc.subjectMLSen
dc.subjectStrong formen
dc.subjectVelocity-pressure correctionen
dc.titleA meshless scheme for incompressible fluid flow using a velocity-pressure correction methoden
dc.typeArticleen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentBiological and Environmental Sciences and Engineering (BESE) Divisionen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalComputers & Fluidsen
dc.contributor.institutionDepartment of Physics, University of Patras, Patras, 26500 Rion, Greeceen
kaust.authorBourantas, Georgiosen
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