Numerical solution of incompressible Navier-Stokes equations by local radial basis function-based differential quadrature method
Received:May 01, 2009  Revised:September 23, 2009
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DOI:10.7511/jslx201102012
KeyWord:Local differential quadrature method  radial basis function  upwind scheme  Navier-Stokes equations
     
AuthorInstitution
孙丹 东南大学 火电机组振动国家工程研究中心,南京
杨建刚 东南大学 火电机组振动国家工程研究中心,南京
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Abstract:
      Numerical solution of incompressible Navier-Stokes equations by local radial basis function-based differential method was set up. The upwind method was brought into the local radial basis function-based differential method. The non-linear equations were solved using the Levenberg-Marquardt method. The influence of shape parameter on the accuracy of the new method was analyzed. The treatment of the boundary condition was improved. The proposed scheme is validated by its application to simulate the couette flow and the finite width step flow. The obtained numerical results with the method agrees well with those obtained using the Fluent package.