SPH Modelling Of The Interaction Between
Free-surface Flows Of A Viscoplastic Fluid And A
Structure
Author(s)
M. Labb´e & D. Laigle
Abstract
Debris flows are rapid, unsteady gravity-driven flows which can cause vast
amounts of damage to infrastructures and endanger populations. It is therefore
crucial to be able to properly model the behaviour of these flows, to better predict
their impact. The aim of this study is to simulate these flows, determine how the
presence of an obstacle in the path of the flow influences the propagation of the
fluid, and to measure the pressures exerted by the flow on the obstacle, for various
flow regimes.
In this paper, we present a 2-D Smooth Particle Hydrodynamics (SPH) model
capable of simulating a viscoplastic fluid. The Herschel-Bulkley model, which can
accurately describe the behaviour of a muddy debris flow, is introduced in the SPH
equations of Ferrari et al. (A new 3D parallel SPH scheme for free surface flows.
Computers & Fluids, 38(6), pp. 1203–1217, 2009). The resulting code is validated
by simulating a steady flow. It is then used to simulate a Herschel-Bulkley fluid
propagating from a tank onto an incline and past a rectangular obstacle. The
simulations confirm the existence of two regimes observed experimentally: a deadzone
regime for small values of the Froude number and a jet regime for large values
of the Froude number. Results show that the pressure exerted on the obstacle can be
described by a combination of a gravitational component and a kinetic component,
the latter taking over as the flow transitions from the dead-zone regime to the jet
regime.
Keywords: debris flows, SPH, viscoplastic fluid, numerical simulation.
Keywords
Keywords: debris flows, SPH, viscoplastic fluid, numerical simulation.
Related Book
Other papers in this volume
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