Central unstaggered finite volume schemes for hyperbolic systems: Applications to unsteady shallow water equations
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Publication:1030216
DOI10.1016/J.AMC.2009.02.059zbMath1165.76034OpenAlexW1976121990MaRDI QIDQ1030216
Publication date: 1 July 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.02.059
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12)
Related Items (16)
Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term ⋮ Central finite volume schemes on nonuniform grids and applications ⋮ Well-balanced central schemes for pollutants transport in shallow water equations ⋮ An efficient invariant-region-preserving central scheme for hyperbolic conservation laws ⋮ Adaptive physical-constraints-preserving unstaggered central schemes for shallow water equations on quadrilateral meshes ⋮ Positivity-preserving nonstaggered central difference schemes solving the two-layer open channel flows ⋮ Well-balanced central schemes for the one and two-dimensional Euler systems with gravity ⋮ Well-Balanced Unstaggered Central Scheme Based on the Continuous Approximation of the Bottom Topography ⋮ Non-oscillatory central schemes on unstructured grids for two-dimensional hyperbolic conservation laws ⋮ High-order discontinuous element-based schemes for the inviscid shallow water equations: Spectral multidomain penalty and discontinuous Galerkin methods ⋮ Well-balanced unstaggered central schemes for one and two-dimensional shallow water equation systems ⋮ Unnamed Item ⋮ Well-balanced central finite volume methods for the Ripa system ⋮ An effect non-staggered central scheme based on new hydrostatic reconstruction ⋮ Well-balanced central schemes for systems of shallow water equations with wet and dry states ⋮ Well-balanced central schemes for two-dimensional systems of shallow water equations with wet and dry states
Cites Work
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- Well balanced finite volume methods for nearly hydrostatic flows
- Non-oscillatory central differencing for hyperbolic conservation laws
- The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
- A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms
- Central finite volume methods with constrained transport divergence treatment for ideal MHD
- Some approximate Godunov schemes to compute shallow-water equations with topography.
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- High-order well-balanced finite volume WENO schemes for shallow water equation with moving water
- Numerical solution of the two-dimensional shallow water equations by the application of relaxation methods
- Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
- Central finite volume schemes with constrained transport divergence treatment for three-dimensional ideal MHD
- High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
- A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations
- Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
- High-Resolution Nonoscillatory Central Schemes with Nonstaggered Grids for Hyperbolic Conservation Laws
- Convergence of a Finite Volume Extension of the Nessyahu--Tadmor Scheme on Unstructured Grids for a Two-Dimensional Linear Hyperbolic Equation
- Two-dimensional shallow water equations by composite schemes
- A Finite Volume Extension of the Lax-Friedrichs and Nessyahu-Tadmor Schemes for Conservation Laws on Unstructured Grids
- Relaxation schemes for the shallow water equations
- Central-Upwind Schemes for the Saint-Venant System
- A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
- High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems
- Central Unstaggered Finite Volume Methods for Shallow Water Equations
- On the Construction and Comparison of Difference Schemes
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