Reference : Meshfree Point Collocation Schemes for 2D Steady State Incompressible Navier-Stokes E...
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Computational Sciences
Meshfree Point Collocation Schemes for 2D Steady State Incompressible Navier-Stokes Equations in Velocity-Vorticity Formulation for High Values of Reynolds Number
Bourantas, Georgios mailto [University of Patras > Department of Medical Physics - School of Medicine,]
Skouras, Eugene [University of Patras > Department of Chemical Engineering > > ; Foundation for Research and Technology > Institute of Chemical Engineering and High Temperature Chemical Processes]
Loukopoulos, Vasilios [University of Patras > Department of Physics]
Nikiforidis, George [University of Patras > Department of Medical Physics - School of Medicine]
Computer Modeling in Engineering and Sciences
Tech Science Press
[en] Meshfree point collocation method ; Velocity-vorticity formulation ; 2D incompressible Navier-Stokes equations ; Velocity correction method
[en] 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 conjunc- tion with the general framework of the point collocation method. Computations are obtained for regular and irregular nodal distributions, stressing the positivity con- ditions 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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