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The two-dimensional shallow-water equations (SWEs) are widely used to approximate flows for a wide range of rapidly (and slowly) varying free-surface flows, such as dam breaks, river flooding, and tidal flows including storm surge and wave overtopping causing inundation in estuaries and coastal regions. Grid-based solvers are now widely available. Although accurate and robust wetting and drying routines have been developed, grid-based solvers are limited in simulating multi-phase effects, most importantly flows with rapid distortion in flood modelling.
Here, the SPHysics numerical scheme, originally developed to solve Navier-Stokes Equations has been extended to shallow water equations.

Developers: Dr Renato Vacondio, Dr Benedict Rogers, Prof. Peter Stansby, Prof. Paolo Mignosa

Key code features:

  • Inlet-Outlet open boundaries
  • Modified Virtual Boundary Particle (MVBP) to represent solid boundaries
  • Particle splitting to provide finer resolution
  • Particle splitting and variable h
  • Water depth (or density evaluation)
  • Bed Topography Representation
  • Viscosity & Stabilisation terms

The code comes with the following test cases:

1-D Test Cases

  • 1-D Wet-bed Dam break
  • 1-D Dry-bed Dam break
  • 1-D Flow over hump with Inflow-Outflow

1 D DamBreak W250px.png

2-D Test Cases

  • 2-D Thacker Basin – rotating surface
  • Tsunami Wave with Inflow-Outflow Boundary Conditions
  • 2-D Dry-Bed Dam Break with Particle Splitting
  • 2-D CADAM Case with 45° Channel

2 D DamBreak paraview H200px.jpg

Released March 2013

SWE-SPHYSICS_1D_v1.0 March 2013

SWE-SPHYSICS_2D_v1.0 March 2013

Documentation of the shallow water equation (SWE) code:

SWE-SPHysics v1.0.00.pdf March 2013

How to reference: How to reference SWE-SPHysics.