scholarly journals B-flood 1.0: an open-source Saint-Venant model for flash-flood simulation using adaptive refinement

2021 ◽  
Vol 14 (11) ◽  
pp. 7117-7132
Author(s):  
Geoffroy Kirstetter ◽  
Olivier Delestre ◽  
Pierre-Yves Lagrée ◽  
Stéphane Popinet ◽  
Christophe Josserand
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Adaptive Mesh Refinement ◽  
Flash Flood ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Flood Simulation ◽  
Small Watersheds ◽  
Analytical Test ◽  
The Impact

Abstract. The French Riviera is very often threatened by flash floods. These hydro-meteorological events, which are fast and violent, have catastrophic consequences on life and property. The development of forecasting tools may help to limit the impacts of these extreme events. Our purpose here is to demonstrate the possibility of using b-flood (a subset of the Basilisk library http://basilisk.fr/, last access: 8 November 2021), which is a 2D tool based on the shallow-water equations and adaptive mesh refinement. The code is first validated using analytical test cases describing different flow regimes. It is then applied to the Toce river valley physical model produced by ENEL-HYDRO in the framework of the CADAM project and on a flash-flood case over the urbanized Toce area produced during the IMPACT project. Finally, b-flood is applied to the flash flood of October 2015 in Cannes in south-eastern France, which demonstrates the feasibility of using software based on the shallow-water equations and mesh refinement for flash-flood simulation in small watersheds (less than 100 km2) and on a predictive computational timescale.

scholarly journals B-flood 1.0: an open-source Saint-Venant model for flash flood simulation using adaptive refinement

2021 ◽  
Author(s):  
Geoffroy Kirstetter ◽  
Olivier Delestre ◽  
Pierre-Yves Lagrée ◽  
Stéphane Popinet ◽  
Christophe Josserand
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Adaptive Mesh Refinement ◽  
Flash Flood ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Computational Time ◽  
Flood Simulation ◽  
Small Watersheds ◽  
The Impact

Abstract. The French Riviera is very often threatened by flash floods. These hydro-meteorological events, which are fast and violent, have catastrophic consequences on life and properties. The development of forecasting tools may help to limit the impacts of these extreme events. Our purpose here is to demonstrate the possibility of using b-flood (a subset of the Basilisk library http://basilisk.fr/) which is a 2D tool based on the shallow water equations and adaptive mesh refinement. The code is first validated on analytical test cases describing different flow regimes. It is then applied on the Toce river valley physical model produced by ENEL-HYDRO in the framework of the CADAM project and on a flash flood case over the urbanized Toce produced during the IMPACT project. Finally, b-flood is applied on the flash flood of October 2015 on Cannes city in south-east France, which demonstrates the feasibility of using a software based on the shallow water equations and mesh refinement for flash flood simulation on small watersheds (less than 100 km2) and on predictive computational time scale.

Voronoi, Delaunay, and Block-Structured Mesh Refinement for Solution of the Shallow-Water Equations on the Sphere

2009 ◽  
Vol 137 (12) ◽  
pp. 4208-4224 ◽  
Author(s):  
Hilary Weller ◽  
Henry G. Weller ◽  
Aimé Fournier
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Wave Dispersion ◽  
Momentum Equation ◽  
Global Accuracy ◽  
Cubed Sphere ◽  
Block Structured

Abstract Alternative meshes of the sphere and adaptive mesh refinement could be immensely beneficial for weather and climate forecasts, but it is not clear how mesh refinement should be achieved. A finite-volume model that solves the shallow-water equations on any mesh of the surface of the sphere is presented. The accuracy and cost effectiveness of four quasi-uniform meshes of the sphere are compared: a cubed sphere, reduced latitude–longitude, hexagonal–icosahedral, and triangular–icosahedral. On some standard shallow-water tests, the hexagonal–icosahedral mesh performs best and the reduced latitude–longitude mesh performs well only when the flow is aligned with the mesh. The inclusion of a refined mesh over a disc-shaped region is achieved using either gradual Delaunay, gradual Voronoi, or abrupt 2:1 block-structured refinement. These refined regions can actually degrade global accuracy, presumably because of changes in wave dispersion where the mesh is highly nonuniform. However, using gradual refinement to resolve a mountain in an otherwise coarse mesh can improve accuracy for the same cost. The model prognostic variables are height and momentum collocated at cell centers, and (to remove grid-scale oscillations of the A grid) the mass flux between cells is advanced from the old momentum using the momentum equation. Quadratic and upwind biased cubic differencing methods are used as explicit corrections to a fast implicit solution that uses linear differencing.

scholarly journals Adaptive Finite Volume Method for the Shallow Water Equations on Triangular Grids

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Sudi Mungkasi
Keyword(s):  
Shallow Water ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Shallow Water Equations ◽  
Adaptive Mesh Refinement ◽  
Adaptive Mesh ◽  
Error Indicator ◽  
Triangular Grids ◽  
Volume Method ◽  
Numerical Entropy

This paper presents a numerical entropy production (NEP) scheme for two-dimensional shallow water equations on unstructured triangular grids. We implement NEP as the error indicator for adaptive mesh refinement or coarsening in solving the shallow water equations using a finite volume method. Numerical simulations show that NEP is successful to be a refinement/coarsening indicator in the adaptive mesh finite volume method, as the method refines the mesh or grids around nonsmooth regions and coarsens them around smooth regions.

Well-Balanced Adaptive Mesh Refinement for shallow water flows

2014 ◽  
Vol 257 ◽  
pp. 937-953 ◽  
Author(s):  
Rosa Donat ◽  
M. Carmen Martí ◽  
Anna Martínez-Gavara ◽  
Pep Mulet
Keyword(s):  
Shallow Water ◽  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Water Flows ◽  
Shallow Water Flows

scholarly journals Evaluation of the Utility of Static and Adaptive Mesh Refinement for Idealized Tropical Cyclone Problems in a Spectral Element Shallow-Water Model

2016 ◽  
Vol 144 (10) ◽  
pp. 3697-3724 ◽  
Author(s):  
Eric A. Hendricks ◽  
Michal A. Kopera ◽  
Francis X. Giraldo ◽  
Melinda S. Peng ◽  
James D. Doyle ◽  
...  
Keyword(s):  
Tropical Cyclone ◽  
Shallow Water ◽  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Spectral Element ◽  
Thin Strip ◽  
Water Model ◽  
Barotropic Instability ◽  
Shallow Water Model

The utility of static and adaptive mesh refinement (SMR and AMR, respectively) are examined for idealized tropical cyclone (TC) simulations in a two-dimensional spectral element f-plane shallow-water model. The SMR simulations have varying sizes of the statically refined meshes (geometry based) while the AMR simulations use a potential vorticity (PV) threshold to adaptively refine the mesh to the evolving TC. Numerical simulations are conducted for four cases: (i) TC-like vortex advecting in a uniform flow, (ii) binary vortex interaction, (iii) barotropic instability of a PV ring, and (iv) barotropic instability of a thin strip of PV. For each case, a uniform grid high-resolution “truth” simulation is compared to two different SMR simulations and three different AMR simulations for accuracy and efficiency. The multiple SMR and AMR simulations have variations in the number of fully refined elements in the vicinity of the TC. For these idealized cases, it is found that the SMR and AMR simulations are able to resolve the vortex dynamical processes (e.g., barotropic instability, Rossby wave breaking, and filamentation) as well as the truth simulations, with no significant loss in accuracy in the refined region in the vortex vicinity and with significant speedups (factors of 4–15, depending on the total number of refined elements). The overall accuracy is enhanced by a greater area of fully refined mesh in both the SMR and AMR simulations.

scholarly journals An investigation on the impact of small-scale models in gasoline direct injection sprays (ECN Spray G)

2019 ◽  
Vol 21 (1) ◽  
pp. 217-225 ◽  
Author(s):  
Salvador Navarro-Martinez ◽  
Giovanni Tretola ◽  
Mohammad Reza Yosri ◽  
Robert L Gordon ◽  
Konstantina Vogiatzaki
Keyword(s):  
Probability Density Function ◽  
Probability Density ◽  
Density Function ◽  
Adaptive Mesh Refinement ◽  
Direct Injection ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Gasoline Direct Injection ◽  
Small Scales ◽  
The Impact

The work presents a numerical investigation of gasoline direct injection and the resulting early development of spray plumes from an eight-hole injector (Engine Combustion Network Spray G). The objective is to evaluate the impact on the droplet size distribution (DSD) statistics from the assumed model physics, particularly for the small scales. Two modelling approaches are compared: Eulerian–Lagrangian spray atomisation with adaptive mesh refinement and a stochastic fields transported probability density function method. The two models simulate the small scales and sub-grid droplet physics with different approaches, but based on the same concept of transport of liquid surface density. Both approaches predict similar liquid distributions in the near-field comparable to experimental measurements. The spray break-up patterns are very similar and both models reproduce quasi-log-normal droplet distributions, with same overall Sauter mean diameters. The Eulerian–Lagrangian spray atomisation with probability density function approach shows different break-up behaviour between droplets originating from the dilute region and those originating from the dense core region. The transition from Eulerian to Lagrangian can be observed in the Eulerian–Lagrangian spray atomisation with adaptive mesh refinement predicted distribution with an abrupt change in the DSD. Both methods are able to produce similar DSD below filter width/grid size resolution.

Sign in / Sign up

Export Citation Format

Share Document