The numerical model solves the two-dimensional shallow water equations with different modes of sediment transport (bed-load and suspended load) (Canestrelli et al. 2009, Canestrelli et al, 2010). The scheme solves the system of partial differential equations cast in a non-conservative form, but it has the important characteristic of reducing automatically to a conservative scheme if the underlying system of equations is a conservation law. The scheme thus belongs to the so-called category of “shock-capturing” schemes. At the present I am adding a new module for the computation of mud flows, and I want to apply the model to the Fly River (Papua New Guinea) system.
A long list of coefficient depending on the differential equations that are being solved and on the chosen closure relationships.
Other input format
Describe output parameters
depth, liquid and solid discharges along x and y. In the multi-layer version(under development), these are provided for each layer.
Other output format
Pre-processing software needed?
Describe pre-processing software
Post-processing software needed?
Describe post-processing software
Visualization software needed?
If above answer is yes
Other visualization software
Describe processes represented by the model
The numerical model solves the two-dimensional shallow water equations with different modes of sediment transport. Moreover are presently implemented the Savage-Hutter type model describing avalanches of granular materials (not tested yet) and the equations governing the motion of two layers of immiscible fluid.
Describe key physical parameters and equations
Momentum and continuity differential equations are solved for each layer. Closure equations are solved for bed-load discharge and entrainment/deposition.
Describe length scale and resolution constraints
Hundreds of Km (the reach of a river).
Describe time scale and resolution constraints
Days/months. When running for more then few month the simulation time is very large.
Describe any numerical limitations and issues
At the present I am trying to improve the wetting and drying algorithm, unphysical large velocities are sometime produced at the wet/dry front.
Describe available calibration data sets
Upload calibration data sets if available:
Describe available test data sets
Upload test data sets if available:
Describe ideal data for testing
Do you have current or future plans for collaborating with other researchers?
I am presently doing a post-doctorate at Boston University with professor Sergio Fagherazzi.
Provide key papers on model if any
Canestrelli A., Siviglia N., Dumbser M., Toro E.F, (2009), Well-balanced high order non-conservative centered schemes for shallow water equations with fix and mobile bed, Advances in Water Resources, 32, 834–844, doi:10.1016/j.advwatres.2009.02.006.
Canestrelli A., Siviglia N., Dumbser M., Toro E.F, (2010), Well-balanced high-order centered schemes on unstructured meshes for shallow water equations with fixed and mobile bed , Advances in Water Resources, 33, 291-303, doi:10.1016/j.advwatres.2009.12.006.