Flux and source term discretization in two-dimensional shallow water models with porosity on unstructured grids

2005 ◽  
Vol 50 (3) ◽  
pp. 309-345 ◽  
Author(s):  
Vincent Guinot ◽  
Sandra Soares-Frazão
Keyword(s):  
Shallow Water ◽  
Source Term ◽  
Unstructured Grids ◽  
Two Dimensional ◽  
Shallow Water Models ◽  
Water Models

scholarly journals Modelling Weirs in Two-Dimensional Shallow Water Models

Water ◽  
2021 ◽  
Vol 13 (16) ◽  
pp. 2152
Author(s):  
Gonzalo García-Alén ◽  
Olalla García-Fonte ◽  
Luis Cea ◽  
Luís Pena ◽  
Jerónimo Puertas
Keyword(s):  
Experimental Data ◽  
Shallow Water ◽  
Shallow Water Equations ◽  
Water Model ◽  
Two Dimensional ◽  
Shallow Water Model ◽  
Experimental Dataset ◽  
River Hydraulics ◽  
Shallow Water Models ◽  
Water Models

2D models based on the shallow water equations are widely used in river hydraulics. However, these models can present deficiencies in those cases in which their intrinsic hypotheses are not fulfilled. One of these cases is in the presence of weirs. In this work we present an experimental dataset including 194 experiments in nine different weirs. The experimental data are compared to the numerical results obtained with a 2D shallow water model in order to quantify the discrepancies that exist due to the non-fulfillment of the hydrostatic pressure hypotheses. The experimental dataset presented can be used for the validation of other modelling approaches.

A Two-Dimensional Numerical Model for Shallow Water Flows over Variable Topographies

2014 ◽  
Vol 580-583 ◽  
pp. 1793-1798
Author(s):  
Biao Lv ◽  
Shao Xi Li
Keyword(s):  
Numerical Model ◽  
Shallow Water ◽  
Source Term ◽  
Unstructured Grids ◽  
Riemann Solver ◽  
Two Dimensional ◽  
Water Flows ◽  
Shallow Water Flows ◽  
Bed Slope ◽  
Good Agreement

Based on well-balanced Roe’s approximate Riemann solver, a numerical model is developed for the unsteady, two-dimensional, shallow water flow with variable topographies. In this model, an efficient methods are applied to treat the source terms and to satisfy the compatibility condition on unstructured grids. In the method, different components of the bed slope source term are considered separately and the compatible discretization of the components is presented. The newly developed model is verified against analytical solutions and measured date, with good agreement.

scholarly journals A two-dimensional method for a family of dispersive shallow water models

2020 ◽  
Vol 6 ◽  
pp. 187-226 ◽  
Author(s):  
Nora Aïssiouene ◽  
Marie-Odile Bristeau ◽  
Edwige Godlewski ◽  
Anne Mangeney ◽  
Carlos Parés Madroñal ◽  
...  
Keyword(s):  
Shallow Water ◽  
Two Dimensional ◽  
Shallow Water Models ◽  
Water Models

scholarly journals Experimental validation of transient source term in porosity-based shallow water models

2018 ◽  
Vol 40 ◽  
pp. 06033 ◽  
Author(s):  
Vincent Guinot ◽  
Sandra Soares-Frazão ◽  
Carole Delenne
Keyword(s):  
Wave Propagation ◽  
Energy Dissipation ◽  
Shallow Water ◽  
Experimental Validation ◽  
Source Term ◽  
Equations Of State ◽  
Additional Energy ◽  
Head Losses ◽  
Shallow Water Models ◽  
Water Models

Porosity-based shallow water models for the simulation of urban floods incorporate additional energy dissipation terms compared to the usual two-dimensional shallow water equations. These terms account for head losses stemming from building drag. They are usually modelled using turbulence-based equations of state (drag proportional to the squared velocity). However, refined numerical simulations of wave propagation in periodic urban layouts indicate that such drag models do not suffice to reproduce energy dissipation properly. Correct wave propagation speeds, energy dissipation rates and flow fields are obtained by incorporating a new type of source term, active only under transient situations involving positive waves. This source term does not take the form of an equation of state. It can be modelled as an artificial increase in water inertia. In this communication, an experimental validation of this source term model is presented by means of new dam-break flow experiments in idealized, periodic urban layouts. The experimental results validate both the existence and the proposed formulation of this new source term.

Comparison of 2D triangular C-grid shallow water models

2018 ◽  
Vol 161 ◽  
pp. 136-154 ◽  
Author(s):  
Hamidreza Shirkhani ◽  
Abdolmajid Mohammadian ◽  
Ousmane Seidou ◽  
Hazim Qiblawey
Keyword(s):  
Shallow Water ◽  
Shallow Water Models ◽  
Water Models
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