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

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    Type
    Article
    Authors
    Bourantas, Georgios
    Loukopoulos, Vassilios C.
    KAUST Department
    Applied Mathematics and Computational Science Program
    Biological and Environmental Sciences and Engineering (BESE) Division
    Physical Science and Engineering (PSE) Division
    Date
    2013-12
    Permanent link to this record
    http://hdl.handle.net/10754/563119
    
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    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.
    Citation
    Bourantas, G. C., & Loukopoulos, V. C. (2013). A meshless scheme for incompressible fluid flow using a velocity–pressure correction method. Computers & Fluids, 88, 189–199. doi:10.1016/j.compfluid.2013.09.010
    Publisher
    Elsevier BV
    Journal
    Computers & Fluids
    DOI
    10.1016/j.compfluid.2013.09.010
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.compfluid.2013.09.010
    Scopus Count
    Collections
    Articles; Biological and Environmental Science and Engineering (BESE) Division; Applied Mathematics and Computational Science Program; Physical Science and Engineering (PSE) Division

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