Smoothed particle hydrodynamics and finite volume modelling of incompressible fluid flow

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.