An improved multislope MUSCL scheme for solving shallow water equations on unstructured grids

DOI10.1016/j.camwa.2018.09.059zbMath1442.65209OpenAlexW2960282353WikidataQ129042375 ScholiaQ129042375MaRDI QIDQ2203757

Ilhan Özgen-Xian, Tian Wang, Reinhard Hinkelmann, Jiaheng Zhao, Dongfang Liang

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://depositonce.tu-berlin.de/handle/11303/9357

zbMATH Keywords

finite volume methodunstructured gridsMUSCL schemeshallow watertotal variation diminishing

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Cites Work

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• Adaptive quadtree simulation of shallow flows with wet-dry fronts over complex topography
• Monoslope and multislope MUSCL methods for unstructured meshes
• Restoration of the contact surface in the HLL-Riemann solver
• TVD schemes for unstructured grids.
• Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• MUSCL schemes for the shallow water sensitivity equations with passive scalar transport
• Multislope MUSCL method applied to solve shallow water equations
• A robust well-balanced model on unstructured grids for shallow water flows with wetting and drying over complex topography
• An improved \(r\)-factor algorithm for TVD schemes
• Multi-dimensional limiting process for hyperbolic conservation laws on unstructured grids
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• A Maximum Principle Satisfying Modification of Triangle Based Adapative Stencils for the Solution of Scalar Hyperbolic Conservation Laws
• A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
• A novel multidimensional solution reconstruction and edge‐based limiting procedure for unstructured cell‐centered finite volumes with application to shallow water dynamics
• A new TVD method for advection simulation on 2D unstructured grids
• Improved total variation diminishing schemes for advection simulation on arbitrary grids