Abstract Generally the incompressible viscous flow problem is described by the Navier--Stokes equation. Based on the weighted residual method the discrete formulation of element-free Galerkin is inferred in this paper. By the step-by-step computation in the field of time, and adopting the least-square estimation of the-same-order shift, this paper has calculated both velocity and pressure from the decoupling independent equations. Each time fraction Newton--Raphson iterative method is applied for the velocity and pressure. Finally, this paper puts the method into practice of the shear-drive cavity flow, verifying the validity, high accuracy and stability.
Received: 14 November 2005
Revised: 21 March 2006
Accepted manuscript online:
PACS:
47.15.Rq
(Laminar flows in cavities, channels, ducts, and conduits)
Fund: Projects Supported by the
Project Fund of the Hubei Province Key Lab. of Mechanical Transmission
& Manufacturing Engineering
Wuhan University of Science & Technology
(Grant No 2003A16) is gratefully acknowledged.
Cite this article:
Xiong Yuan-Bo(熊渊博) and Wang Hao(王浩) An analysis of the incompressible viscous flows problem by meshless method 2006 Chinese Physics 15 2352
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