Incompressible smoothed particle hydrodynamics

نویسندگان

  • Marco Ellero
  • Mar Serrano
  • Pep Español
چکیده

We present a smoothed particle hydrodynamic model for incompressible fluids. As opposed to solving a pressure Poisson equation in order to get a divergence-free velocity field, here incompressibility is achieved by requiring as a kinematic constraint that the volume of the fluid particles is constant. We use Lagrangian multipliers to enforce this restriction. These Lagrange multipliers play the role of non-thermodynamic pressures whose actual values are fixed through the kinematic restriction. We use the SHAKE methodology familiar in constrained molecular dynamics as an efficient method for finding the non-thermodynamic pressure satisfying the constraints. The model is tested for several flow configurations. 2007 Elsevier Inc. All rights reserved.

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عنوان ژورنال:
  • J. Comput. Physics

دوره 226  شماره 

صفحات  -

تاریخ انتشار 2007