Incompressible smoothed particle hydrodynamics

  • Ellero M
  • Serrano M
  • Español P
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Abstract

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.

Author-supplied keywords

  • Incompressible flows
  • Smoothed particle hydrodynamics

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Authors

  • M Ellero

  • M Serrano

  • P Español

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