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Smoothed particle hydrodynamics and finite volume modelling of incompressible fluid flow

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  • Lobovský, Libor
  • Vimmr, Jan

Abstract

Fundamentals of two different numerical approaches to the fluid flow modelling are presented. The smoothed particle hydrodynamics (SPH) is a meshless approach, while the finite volume (FV) method is defined on a grid. Within SPH, the computational grid is replaced by a finite set of interpolating points. The fluid flow is described by Euler equations and dissipative effects are treated by artificial viscosity terms. Within the cell-centred FV method, the computational domain is discretised with a structured grid and the fluid flow is defined by a non-linear conservative system of the Navier–Stokes equations. The artificial dissipation and the algebraic turbulence model are applied. Implemented SPH and FV codes are tested on a two-dimensional flow of Newtonian fluid through a rigid channel.

Suggested Citation

  • Lobovský, Libor & Vimmr, Jan, 2007. "Smoothed particle hydrodynamics and finite volume modelling of incompressible fluid flow," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(1), pages 124-131.
    • Handle: RePEc:eee:matcom:v:76:y:2007:i:1:p:124-131
    DOI: 10.1016/j.matcom.2007.02.002
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    Cited by:

    1. Li, Xiaolin, 2011. "Development of a meshless Galerkin boundary node method for viscous fluid flows," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(2), pages 258-280.

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