Geoscience Reference
In-Depth Information
Figure 9.5
(a) a series of rainfall events on slopes of 40, 80 and 160 m length: (b) hydrograph and (c) storage
flux relationships under dry antecedent conditions; (d) hydrograph and (e) storage flux relationships under
wet initial conditions; both sets of results were produced using the MIPs random particle tracking simulator
on slopes of 2.86 degrees, with a constant soil depth of 1.5 m and a constant hydraulic conductivity at the soil
surface of 50 m/day, declining exponentially with depth (calculations by Jessica Davies).
has been increasingly used to represent the complexity of flows in a variety of situations, including film
animations of breaking waves. SPH is computationally demanding in that it requires the interactions
between neighbouring particles to be taken into account (which means that it is necessary to keep track
of which particles are neighbours), but programming techniques are being developed to allow for this,
including on the type of fast parallel processors used in graphics cards. SPH has been applied to free
surface flows by Monaghan (1994), Rodriguez-Paz and Bonet (2005) and Roubtsova and Kahawita
(2006); to debris flows by Rodriguez-Paz and Bonet (2004); and to dispersion in porous media by Zhu
and Fox (2002) and Tartakovsky
et al.
(2007).
These particle-tracking approaches to representing fluxes of water in a heterogeneous flow domain are
very flexible but there remains the issue of what velocity distributions should be used to represent the
