Open AccessNumerical simulation of liquid drop phenomenon by least square particle finite element method
Author(s) -
Bo Tang,
Junfeng Li,
Tianshu Wang
Publication year - 2008
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.57.6722
Subject(s) - splash , delaunay triangulation , finite element method , computer science , eulerian path , free surface , conservation of mass , mechanics , discrete element method , mathematics , robustness (evolution) , mathematical optimization , algorithm , computational science , lagrangian , physics , mechanical engineering , structural engineering , engineering , biochemistry , chemistry , gene
A least square particle finite element method is presented and used to simulate the impact and splash of 2D water droplets on the water surface. This algorithm is based on an upgraded Lagrangian framework. An extended Delaunay triangulation method is used to get the new mesh at every time step. An alpha-shape method is used to deal with the splash and impact of the free surface. The least square finite element method is applied to solve the Navier-Stokes equations. An adaptive time step algorithm is derived to improve the efficiency and the robustness of calculationand a mesh pulling scheme is introduced to improve the conservation of the total mass. Finallywhen compared with the commercial Flow-3d codethe computational results achieve good agreement. Moreoverthe free surface is more accurate and more clearcut than that of the Eulerian description based Flow-3d code.