A meshfree formulation of local radial point interpolation method (LRPIM) for incompressible flow simulation |
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Authors: | Y L Wu G R Liu |
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Affiliation: | (1) Centre for Advanced Computations in Engineering Science (ACES) Department of Mechanical Engineering, National University of Singapore 10 Kent Ridge Crescent, Singapore 119260, SG |
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Abstract: | The LRPIM method is adopted to simulate the two-dimensional natural convection problems within enclosed domain of different
geometries. In this paper, the vorticity-stream function form of N-S equations is taken as the governing equations. It was
observed that the obtained results agreed very well with others available in the literatures, and with the same nodal density,
the accuracy achieved by the LRPIM method is much higher than that of the finite difference (FD) method. The numerical examples
show that the present LRPIM method can successfully deal with incompressible flow problems on randomly distributed nodes.
Received: 2 April 2002 / Accepted: 6 January 2003
The authors would like to thank Mr. Y. T. Gu for his contribution to this work. |
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Keywords: | Meshfree method LRPIM Radial basis function Local weak form Incompressible flow Natural convection |
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