Author(s): Fangming Jiang1 and Antonio C.M. Sousa2, 3
In this chapter, the current state-of-the-art and recent advances of a novel numerical
method – the Smoothed Particle Hydrodynamics (SPHs) will be reviewed through
case studies with particular emphasis to fluid flow and heat transport.
sufficient background and to assess its engineering/scientific relevance, three particular
case studies will be used to exemplify macro- and nanoscale applications of
The first application deals with magnetohydrodynamic (MHD)
Effective control of the transition to turbulence of an electrically
conductive fluid flow can be achieved by applying a stationary magnetic field,
which is not simply aligned along the streamwise or transverse flow direction, but
along a direction that forms an angle with the main fluid flow in the range of 0◦
(streamwise) to 90◦ (transverse).
The SPH numerical technique is used to interpret
this concept and to analyze the magnetic conditions.
The second application deals
with non-Fourier ballistic-diffusive heat transfer, which plays a crucial role in the
development of nanotechnology and the operation of submicron- and nanodevices.
The ballistic-diffusive equation to heat transport in a thin film is solved numerically
via the SPH methodology.
The third application deals with mesoscopic pore-scale
model for fluid flow in porous media.
SPH simulations enable microscopic visualization
of fluid flow in porous media as well as the prediction of an important
macroscopic parameter – the permeability.
CFD, Numerical methods, Smoothed particle hydrodynamics
A novel numerical method – the smoothed particle hydrodynamic (SPH) offers a
relatively flexible tool for heat and fluid flow computations, as it can cope with a
wide range of space scales and of physical phenomena.
SPH is a meshless particlebased
Lagrangian fluid dynamics simulation technique, in which the fluid flow is
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Paper DOI: 10.2495/978-1-84564-144-3/10
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