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| A meshless PSPG formulation for the incompressible Stokes flow |
| Revised:April 01, 2005 |
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| DOI：10.7511/jslx20072037 |
| KeyWord:meshless,PSPG discretization,incompressible Stokes flow,LBB condition,continuous blending |
| DUAN Qing-lin LI Xi-kui |
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| Abstract: |
| In this paper a meshless method for numerical simulation of incompressible Stokes flow is presented.To circumvent the restriction and eliminate spurious oscillations of pressure distributions in space,the Pressure-Stabilizing/Petrov-Galerkin(PSPG) method is introduced to allow for the use of the same interpolation approximation functions for velocity and pressure variables commonly used in the meshless method.The continuous blending method is adopted to enforce the essential boundary condition in a correct manner.This method makes the essential boundary condition satisfied not only at the boundary nodes but also at the whole essential boundary.Numerical results for two typical problems are illustrated to demonstrate the capability and the performance of the proposed PSPG meshless method in the simulation of incompressible stokes flow. |
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