A finite volume method for modeling shallow flows with wet-dry fronts on adaptive Cartesian grids
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Publication:1717872
DOI10.1155/2014/209562zbMath1407.76082OpenAlexW2039539538WikidataQ59063840 ScholiaQ59063840MaRDI QIDQ1717872
Lixiang Song, Sheng Bi, Yi Liu, Jian-Zhong Zhou
Publication date: 8 February 2019
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/209562
Lubrication theory (76D08) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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Cites Work
- Unnamed Item
- Adaptive quadtree simulation of shallow flows with wet-dry fronts over complex topography
- Upwind methods for hyperbolic conservation laws with source terms
- Numerical solution of the two-dimensional unsteady dam break
- An unstructured finite-volume algorithm for predicting flow in rivers and estuaries
- A structured but non-uniform Cartesian grid-based model for the shallow water equations
- An unstructured finite volume model for dam-break floods with wet/dry fronts over complex topography
- Some exact solutions to the nonlinear shallow-water wave equations
- A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations
- Central-Upwind Schemes for the Saint-Venant System
- Solution of the shallow‐water equations using an adaptive moving mesh method
- A numerical model for the flooding and drying of irregular domains
- A mesh patching method for finite volume modelling of shallow water flow
- The surface gradient method for the treatment of source terms in the shallow-water equations