SWE-SPHysics

From SPHYSICS

(Difference between revisions)

Latest revision as of 23:03, 16 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.

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

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

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.

Publications

Vacondio R, Rogers B D, Stansby P K, Mignosa P. "A correction for balancing discontinuous bed slopes in two-dimensional smoothed particle hydrodynamics shallow water modeling". International Journal for Numerical Methods in Fluids. Vol. 71. Issue 7. pp 850-872. March. DOI: 10.1002/fld.3687, 2013.
Vacondio R, Rogers B D, Stansby P K, Mignosa P. "Shallow water SPH for flooding with dynamic particle coalescing and splitting". Advances in Water Resources. Vol. 58. pp 10-23. August. DOI: 10.1016/j.advwatres.2013.04.007, 2013.
Vacondio R., Rogers B.D., Stansby P.K.. In Press. "Accurate particle splitting for SPH in shallow water with shock capturing". International Journal for Numerical Methods in Fluids, Vol. 69. Issue 8. pp 1377-1410. DOI: 10.1002/fld.2646, 2012.
Vacondio R., Rogers B.D., Stansby P.K. "Smoothed Particle Hydrodynamics: approximate zero-consistent 2-D boundary conditions and still shallow water tests". International Journal for Numerical Methods in Fluids, Vol. 69. Issue 1. pp 226-253. DOI: 10.1002/fld.2559, 2011.

@@ Line 1: / Line 1: @@
-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%"
+|-
-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.
+<br/>
+|-
+|'''Developers:''' Dr Renato Vacondio, Dr Benedict Rogers, Prof. Peter Stansby, Prof. Paolo Mignosa
+<br/>
+|-
+|
 Key code features:
@@ Line 12: / Line 20: @@
 * Bed Topography Representation
 * Viscosity & Stabilisation terms
 The code comes with the following test cases:
+|}
 {|cellpadding="10" width="85%"
@@ Line 19: / Line 29: @@
 |width="45%"|
 ==1-D Test Cases==
-* 1-D Wet-bed Dam break 25
+* 1-D Wet-bed Dam break
-* 1-D Dry-bed Dam break 26
+* 1-D Dry-bed Dam break
 * 1-D Flow over hump with Inflow-Outflow
 |width="35%"|
@@ Line 40: / Line 50: @@
 |-
 |}
+''Released March 2013''
+'''[[SWE-SPHYSICS_1D_Download_v1.0 | SWE-SPHYSICS_1D_v1.0 ]]'''  March 2013
+'''[[SWE-SPHYSICS_2D_Download_v1.0 | SWE-SPHYSICS_2D_v1.0 ]]'''  March 2013
+''' Documentation of the shallow water equation (SWE) code: '''
+'''[[Media:SWE-SPHysics v1.0.00.pdf | SWE-SPHysics v1.0.00.pdf]]'''  March 2013
 How to reference: '''[[SPHYSICS Reference| How to reference SWE-SPHysics]]'''.
+=== Publications ===
+#'''Vacondio R, Rogers B D, Stansby P K, Mignosa P.''' "A correction for balancing discontinuous bed slopes in two-dimensional smoothed particle hydrodynamics shallow water modeling". ''International Journal for Numerical Methods in Fluids''. Vol. 71. Issue 7. pp 850-872. March. '''[http://dx.doi.org/10.1002/fld.3687 DOI: 10.1002/fld.3687], 2013'''.
+#'''Vacondio R, Rogers B D, Stansby P K, Mignosa P.''' "Shallow water SPH for flooding with dynamic particle coalescing and splitting". ''Advances in Water Resources''. Vol. 58. pp 10-23. August. '''[http://dx.doi.org/10.1016/j.advwatres.2013.04.007 DOI: 10.1016/j.advwatres.2013.04.007], 2013'''.
+#'''Vacondio R., Rogers B.D., Stansby P.K.'''. In Press. "Accurate particle splitting for SPH in shallow water with shock capturing". ''International Journal for Numerical Methods in Fluids'', Vol. 69. Issue 8. pp 1377-1410. '''[http://dx.doi.org/10.1002/fld.2646 DOI: 10.1002/fld.2646], 2012'''.
+#'''Vacondio R., Rogers B.D., Stansby P.K'''. "Smoothed Particle Hydrodynamics: approximate zero-consistent 2-D boundary conditions and still shallow water tests". ''International Journal for Numerical Methods in Fluids'', Vol. 69. Issue 1. pp 226-253. '''[http://dx.doi.org/10.1002/fld.2559 DOI: 10.1002/fld.2559], 2011'''.