Paper: Multiresolution Reproducing Kernel Particle Method for Computational Fluid Dynamics

W. K. Liu, S. Jun, D. T. Sihling, Y. Chen and W. Hao

"International Journal of Numerical Method in Fluids", in press. Vol. 24, pp. 1-25, 1997


 

Abstract

Multiresolution analysis based on Reproducing Kernel Particle Method (RKPM) is developed for computational fluid dynamics. An algorithm incorporating multiple scale adaptive refinement is introduced. The concept of using a wavelet solution as an error indicator is also presented. A few representative numerical examples are solved to illustrate the performance of this new meshless method. Results show that RKPM is a good candidate for tackling the widespread large scale problems in fluid dynamics.

This paper is available in postcript form. (39 pages, ~7MB)

Download Postscript:
page: 1-25, (~2MB) .
page: 26-29, (~1.8MB) .
page: 30-33, (~1.6MB) .
page: 34-39, (~1.8MB) .

Download Adobe Acrobat (PDF):
page: 1-25, (~2MB) .
page: 26-29, (~1.8MB) .
page: 30-33, (~1.6MB) .
page: 34-39, (~1.8MB) .
 

Professor Wing Kam Liu

Send email: w-liu@nwu.edu