Incompressible smoothed particle hydrodynamics

  • Authors:

  • Marco Ellero;Mar Serrano;Pep Español

  • Affiliations:

  • School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, NSW 2006, Australia and Lehrstuhl für Aerodynamik, Technische Universität München, 85748 Garch ...;Departamento de Física Fundamental, UNED, Apartado 60141, 28080 Madrid, Spain;Departamento de Física Fundamental, UNED, Apartado 60141, 28080 Madrid, Spain

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2007

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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.