Reference : Meshfree Point Collocation Schemes for 2D Steady State Incompressible Navier-Stokes E...
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
http://hdl.handle.net/10993/21004
Meshfree Point Collocation Schemes for 2D Steady State Incompressible Navier-Stokes Equations in Velocity-Vorticity Formulation for High Values of Reynolds Number
English
Bourantas, Georgios[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]
[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
[University of Patras > Department of Medical Physics - School of Medicine,]
