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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 2 April 2002 / Accepted: 6 January 2003
The authors would like to thank Mr. Y. T. Gu for his contribution to this work.
Rights and permissions
About this article
Cite this article
Wu, Y., Liu, G. A meshfree formulation of local radial point interpolation method (LRPIM) for incompressible flow simulation. Computational Mechanics 30, 355–365 (2003). https://doi.org/10.1007/s00466-003-0411-x
Issue Date:
DOI: https://doi.org/10.1007/s00466-003-0411-x