Numerical computation of internal & external flows: fundamentals of numerical discretization
Numerical computation of internal & external flows: fundamentals of numerical discretization
Simulating free surface flows with SPH
Journal of Computational Physics
A numerical method for solving incompressible viscous flow problems
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
Modeling low Reynolds number incompressible flows using SPH
Journal of Computational Physics
Original article: Development of a meshless Galerkin boundary node method for viscous fluid flows
Mathematics and Computers in Simulation
Applied Numerical Mathematics
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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.