SWE-SPHysics

From SPHYSICS

(Difference between revisions)

Revision as of 22:22, 12 February 2014

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.

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 25
1-D Dry-bed Dam break 26
1-D Flow over hump with Inflow-Outflow

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

How to reference: How to reference SWE-SPHysics.

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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. Particle methods are quite flexible in this respect and are also naturally adaptive for modelling complex domains.
+{| width="85%"
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-Here, the SPHysics numerical scheme, originally developed to solve Navier-Stokes Equations has been extended to shallow water equations.
+|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.
+|-
+|
 Key code features:
@@ Line 12: / Line 16: @@
 * Bed Topography Representation
 * Viscosity & Stabilisation terms
 The code comes with the following test cases:
+|}
 {|cellpadding="10" width="85%"