SWASHES: a compilation of shallow water analytic solutions for hydraulic and environmental studies. SWASHES: Shallow Water Analytic Solutions for Hydraulic and Environmental Studies. SWASHES is a library of Shallow Water Analytic Solutions for Hydraulic and Environmental Studies. A significant number of analytic solutions to the Shallow Water equations is described in a unified formalism. They encompass a wide variety of flow conditions (supercritical, subcritical, shock, etc.), in 1 or 2 space dimensions, with or without rain and soil friction, for transitory flow or steady state. The goal of this code is to help users of Shallow Water based models to easily find an adaptable benchmark library to validate numerical methods. The SWASHES software can be downloaded on the website sourcesup. This software is distributed under CeCILL-V2 (GPL compatible) free software license. So, you are authorized to use the Software, without any limitation as to its fields of application.

References in zbMATH (referenced in 30 articles )

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  1. Abdedou, Azzedine; Soulaïmani, Azzeddine: A non-intrusive B-splines Bézier elements-based method for uncertainty propagation (2019)
  2. Abreu, Eduardo; Pérez, John: A fast, robust, and simple Lagrangian-Eulerian solver for balance laws and applications (2019)
  3. Bonev, Boris; Hesthaven, Jan S.; Giraldo, Francis X.; Kopera, Michal A.: Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction (2018)
  4. Delis, Argiris I.; Guillard, Hervé; Tai, Yih-Chin: Numerical simulations of hydraulic jumps with the shear shallow water model (2018)
  5. Guermond, Jean-Luc; de Luna, Manuel Quezada; Popov, Bojan; Kees, Christopher E.; Farthing, Matthew W.: Well-balanced second-order finite element approximation of the shallow water equations with friction (2018)
  6. Parna, P.; Meyer, K.; Falconer, R.: GPU driven finite difference WENO scheme for real time solution of the shallow water equations (2018)
  7. Rauter, M.; Tuković, Ž.: A finite area scheme for shallow granular flows on three-dimensional surfaces (2018)
  8. Yao, Zhonghua; Li, Gang; Gao, Jinmei: A high order well-balanced finite volume WENO scheme for a blood flow model in arteries (2018)
  9. Azerad, Pascal; Guermond, Jean-Luc; Popov, Bojan: Well-balanced second-order approximation of the shallow water equation with continuous finite elements (2017)
  10. Clain, S.; Figueiredo, J.: The MOOD method for the non-conservative shallow-water system (2017)
  11. De Rosis, Alessandro: A central moments-based lattice Boltzmann scheme for shallow water equations (2017)
  12. Ghigo, A. R.; Delestre, O.; Fullana, J.-M.; Lagrée, P.-Y.: Low-Shapiro hydrostatic reconstruction technique for blood flow simulation in large arteries with varying geometrical and mechanical properties (2017)
  13. Goutal, Nicole; Le, Minh-Hoang; Ung, Philippe: A Godunov-type scheme for shallow water equations dedicated to simulations of overland flows on stepped slopes (2017)
  14. Kim, Mi-Young; Park, Eun-Jae; Shin, Jaemin: High-order discontinuous Galerkin methods with Lagrange multiplier for hyperbolic systems of conservation laws (2017)
  15. Liu, Xin; Mohammadian, Abdolmajid; Infante Sedano, Julio Ángel; Kurganov, Alexander: Three-dimensional shallow water system: a relaxation approach (2017)
  16. Michel-Dansac, Victor; Berthon, Christophe; Clain, Stéphane; Foucher, Françoise: A well-balanced scheme for the shallow-water equations with topography or Manning friction (2017)
  17. Peng, Y.; Meng, J. P.; Zhang, J. M.: Multispeed lattice Boltzmann model with space-filling lattice for transcritical shallow water flows (2017)
  18. Ranocha, Hendrik: Shallow water equations: split-form, entropy stable, well-balanced, and positivity preserving numerical methods (2017)
  19. Pongsanguansin, Thida; Maleewong, Montri; Mekchay, Khamron: Shallow-water simulations by a well-balanced WAF finite volume method: a case study to the great flood in 2011, Thailand (2016)
  20. Wu, Kailiang; Tang, Huazhong: A Newton multigrid method for steady-state shallow water equations with topography and dry areas (2016)

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