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Multiresolution reproducing kernel particle method for computational fluid dynamics

โœ Scribed by Wing Kam Liu; Sukky Jun; Dirk Thomas Sihling; Yijung Chen; Wei Hao


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
831 KB
Volume
24
Category
Article
ISSN
0271-2091

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โœฆ Synopsis


Multiresolution analysis based on the reproducing kernel particle method (RKPM) is developed for computational ยฏuid dynamics. An algorithm incorporating multiple-scale adaptive reยฎnement 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 the RKPM is a good candidate for tackling the widespread large-scale problems in ยฏuid dynamics.


๐Ÿ“œ SIMILAR VOLUMES


Explicit Reproducing Kernel Particle Met
โœ Sukky Jun; Wing Kam Liu; Ted Belytschko ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 707 KB

The explicit Reproducing Kernel Particle Method (RKPM) is presented and applied to the simulations of large deformation problems. RKPM is a meshless method which does not need a mesh structure in its formulation. Because of this mesh-free property, RKPM is able to simulate large deformation problems

Multiple-scale reproducing kernel partic
โœ Wing Kam Liu; Sukky Jun ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 524 KB

Reproducing Kernel Particle Method (RKPM) with a built-in feature of multiresolution analysis is reviewed and applied to large deformation problems. Since the application of multiresolution RKPM to the large deformation problems is still in its early stage of development, we introduce, in this paper

Harmonic reproducing kernel particle met
โœ K.M. Liew; T.Y. Ng; X. Zhao; J.N. Reddy ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 613 KB

A meshfree approach--the harmonic reproducing kernel particle method is proposed for the free vibration analysis of rotating cylindrical shells. The reproducing kernel particle estimation is employed in hybridized form with harmonic functions, to approximate the two-dimensional displacement field. T