Weakly compressible two-layer shallow-water flows along channels
DOI10.1007/S10915-024-02608-ZzbMATH Open1547.35448MaRDI QIDQ6594658
Sarswati Shah, Gerardo Hernández-Dueñas
Publication date: 28 August 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
hyperbolic systems of balance lawssemi-discrete schemesnon-oscillatory reconstructionschannels with irregular geometrySaint-Venant system of shallow water equations with friction
PDEs in connection with fluid mechanics (35Q35) Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Cites Work
- Title not available (Why is that?)
- Numerical treatment of the loss of hyperbolicity of the two-layer shallow-water system
- A hybrid algorithm for the Baer-Nunziato model using the Riemann invariants
- Non-oscillatory central differencing for hyperbolic conservation laws
- A new Savage-Hutter type model for submarine avalanches and generated tsunami
- A comment on the computation of non-conservative products
- Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
- Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
- Théorie du mouvement non permanent des eaux, avec application aux crues des rivières et à l'introduction des marées dans leur lit.
- Definition and weak stability of nonconservative products
- A non-oscillatory central scheme for one-dimensional two-layer shallow water flows along channels with varying width
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- Consistent section-averaged shallow water equations with bottom friction
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- Models and methods for two-layer shallow water flows
- A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system
- Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
- Strong stability-preserving high-order time discretization methods
- A \(Q\)-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system
- Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations
- Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system
- Entropy conservative and entropy stable schemes for nonconservative hyperbolic systems
- Two-Layer Shallow Water System: A Relaxation Approach
- Central-Upwind Schemes for Two-Layer Shallow Water Equations
- ASYMPTOTIC DERIVATION OF THE SECTION-AVERAGED SHALLOW WATER EQUATIONS FOR NATURAL RIVER HYDRAULICS
- High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
- A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
- On the Artificial Compression Method for Second-Order Nonoscillatory Central Difference Schemes for Systems of Conservation Laws
- Finite Volume Methods for Hyperbolic Problems
- A Wave Propagation Method for Conservation Laws and Balance Laws with Spatially Varying Flux Functions
- A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
- Improvement and generalization of a finite element shallow-water solver to multi-layer systems
- A central-upwind scheme for two-layer shallow-water flows with friction and entrainment along channels
- Nonlinear stability of two-layer shallow water flows with a free surface
- Path-conservative central-upwind schemes for nonconservative hyperbolic systems
- Modeling Shallow Water Flows Using the Discontinuous Galerkin Method
- A positivity preserving central scheme for shallow water flows in channels with wet-dry states
- Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
- THE SPACES $ BV$ AND QUASILINEAR EQUATIONS
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