Adaptive particle distribution for smoothed particle hydrodynamics

A framework for adaptively inserting and removing particles with smoothed particle hydrodynamics (SPH) has been developed. A number of SPH variants were examined for use in an adaptive method. A minimum of linear consistency in the method has proven critical. Algorithms for particle placement and reassignment are discussed and results for a shock tube problem are shown. Copyright © 2005 John Wiley & Sons, Ltd.

[1]  D. Shepard.  A two-dimensional interpolation function for irregularly-spaced data , 1968, ACM National Conference.

[2]  J. Monaghan,et al.  Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .

[3]  L. Lucy.  A numerical approach to the testing of the fission hypothesis. , 1977 .

[4]  J. Monaghan.  Smoothed particle hydrodynamics , 2005 .

[5]  Wing Kam Liu,et al.  Reproducing kernel particle methods for structural dynamics , 1995 .

[6]  L. Libersky,et al.  Smoothed Particle Hydrodynamics: Some recent improvements and applications , 1996 .

[7]  Mark A Fleming,et al.  Meshless methods: An overview and recent developments , 1996 .

[8]  J. Michael Owen,et al.  Adaptive smoothed particle hydrodynamics, with application to cosmology: Methodology , 1996 .

[9]  Timothy J. Baker,et al.  Mesh adaptation strategies for problems in fluid dynamics , 1997 .

[10]  Wing Kam Liu,et al.  Multiresolution reproducing kernel particle method for computational fluid dynamics , 1997 .

[11]  S. Cummins,et al.  An SPH Projection Method , 1999 .

[12]  J. Bonet,et al.  Variational and momentum preservation aspects of Smooth Particle Hydrodynamic formulations , 1999 .

[13]  S. Kitsionas,et al.  Smoothed Particle Hydrodynamics with particle splitting, applied to self-gravitating collapse , 2002, astro-ph/0203057.

[14]  Guirong Liu.  Mesh Free Methods: Moving Beyond the Finite Element Method , 2002 .

[15]  K. Y. Lam,et al.  Constructing smoothing functions in smoothed particle hydrodynamics with applications , 2003 .