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Meshfree Point Collocation Schemes for 2D Steady State Incompressible Navier-Stokes Equations in Velocity-Vorticity Formulation for High Values of Reynolds Number

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Titel: Meshfree Point Collocation Schemes for 2D Steady State Incompressible Navier-Stokes Equations in Velocity-Vorticity Formulation for High Values of Reynolds Number
Autoren: G.C. Bourantas, E.D. Skouras, V.C. Loukopoulos, G.C. Nikiforidis
Quelle: Computer Modeling in Engineering & Sciences ; ISSN: 1526-1492 (Print) ; ISSN: 1526-1506 (Online) ; Volume 59 ; Issue 1
Verlagsinformationen: Tech Science Press
Publikationsjahr: 2019
Schlagwörter: Meshfree point collocation method, Velocity-vorticity formulation, 2D incompressible Navier-Stokes equations, Velocity correction method
Beschreibung: A meshfree point collocation method has been developed for the velocity-vorticity formulation of two-dimensional, steady state incompressible Navier-Stokes equations. Particular emphasis was placed on the application of the velocity-correc -tion method, ensuring the continuity equation. The Moving Least Squares (MLS) approximation is employed for the construction of the shape functions, in conjunction with the general framework of the point collocation method. Computations are obtained for regular and irregular nodal distributions, stressing the positivity conditions that make the matrix of the system stable and convergent. The accuracy and the stability of the proposed scheme are demonstrated through two representative, well-known, and established benchmark problems. The numerical scheme was also applied to a case with irregular geometry for marginally high Reynolds numbers.
Publikationsart: article in journal/newspaper
Dateibeschreibung: application/pdf
Sprache: English
Relation: https://doi.org/10.3970/cmes.2010.059.031
DOI: 10.3970/cmes.2010.059.031
Verfügbarkeit: https://doi.org/10.3970/cmes.2010.059.031
Rights: info:eu-repo/semantics/openAccess ; https://creativecommons.org/licenses/by/4.0/
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  Data: Meshfree Point Collocation Schemes for 2D Steady State Incompressible Navier-Stokes Equations in Velocity-Vorticity Formulation for High Values of Reynolds Number
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  Data: <searchLink fieldCode="AR" term="%22G%2EC%2E+Bourantas%22">G.C. Bourantas</searchLink><br /><searchLink fieldCode="AR" term="%22E%2ED%2E+Skouras%22">E.D. Skouras</searchLink><br /><searchLink fieldCode="AR" term="%22V%2EC%2E+Loukopoulos%22">V.C. Loukopoulos</searchLink><br /><searchLink fieldCode="AR" term="%22G%2EC%2E+Nikiforidis%22">G.C. Nikiforidis</searchLink>
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  Data: Computer Modeling in Engineering & Sciences ; ISSN: 1526-1492 (Print) ; ISSN: 1526-1506 (Online) ; Volume 59 ; Issue 1
– Name: Publisher
  Label: Publisher Information
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  Data: Tech Science Press
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  Label: Publication Year
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  Data: 2019
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  Data: <searchLink fieldCode="DE" term="%22Meshfree+point+collocation+method%22">Meshfree point collocation method</searchLink><br /><searchLink fieldCode="DE" term="%22Velocity-vorticity+formulation%22">Velocity-vorticity formulation</searchLink><br /><searchLink fieldCode="DE" term="%222D+incompressible+Navier-Stokes+equations%22">2D incompressible Navier-Stokes equations</searchLink><br /><searchLink fieldCode="DE" term="%22Velocity+correction+method%22">Velocity correction method</searchLink>
– Name: Abstract
  Label: Description
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  Data: A meshfree point collocation method has been developed for the velocity-vorticity formulation of two-dimensional, steady state incompressible Navier-Stokes equations. Particular emphasis was placed on the application of the velocity-correc -tion method, ensuring the continuity equation. The Moving Least Squares (MLS) approximation is employed for the construction of the shape functions, in conjunction with the general framework of the point collocation method. Computations are obtained for regular and irregular nodal distributions, stressing the positivity conditions that make the matrix of the system stable and convergent. The accuracy and the stability of the proposed scheme are demonstrated through two representative, well-known, and established benchmark problems. The numerical scheme was also applied to a case with irregular geometry for marginally high Reynolds numbers.
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