Flux globalization based well-balanced path-conservative central-upwind scheme for two-layer thermal rotating shallow water equations
DOI10.1016/j.jcp.2022.111790OpenAlexW4309767521MaRDI QIDQ2112484
Alexander Kurganov, Yangyang Cao, Yongle Liu, Vladimir Zeitlin
Publication date: 11 January 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111790
well-balanced schemesflux globalizationpath-conservative central-upwind schemestwo-layer thermal rotating shallow water equations
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)
Related Items (1)
Cites Work
- Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients
- On the convergence and well-balanced property of path-conservative numerical schemes for systems of balance laws
- Discontinuous generalized solutions of nonlinear nonconservative hyperbolic equations
- High order space-time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems
- A well-balanced central-upwind scheme for the thermal rotating shallow water equations
- Non-oscillatory central differencing for hyperbolic conservation laws
- Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes
- A robust well-balanced scheme for multi-layer shallow water equations
- Well-balanced schemes for the Euler equations with gravitation: conservative formulation using global fluxes
- Well-balanced central-upwind schemes for \(2\times 2\) systems of balance laws
- Definition and weak stability of nonconservative products
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- Well-balancing via flux globalization: applications to shallow water equations with wet/dry fronts
- Well-balanced path-conservative central-upwind schemes based on flux globalization
- Flux globalization based well-balanced path-conservative central-upwind schemes for shallow water models
- A new approach for designing moving-water equilibria preserving schemes for the shallow water equations
- A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system
- Strong Stability-Preserving High-Order Time Discretization Methods
- AQ-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 Schemes and Path-Conservative Numerical Methods
- An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment
- Central-Upwind Schemes for Two-Layer Shallow Water Equations
- High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
- On the Artificial Compression Method for Second-Order Nonoscillatory Central Difference Schemes for Systems of Conservation Laws
- GRAPH SOLUTIONS OF NONLINEAR HYPERBOLIC SYSTEMS
- On improving a one-layer ocean model with thermodynamics
- Thermal versus isothermal rotating shallow water equations: comparison of dynamical processes by simulations with a novel well-balanced central-upwind scheme
- Path-conservative central-upwind schemes for nonconservative hyperbolic systems
- Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds
- The quasi-geostrophic theory of the thermal shallow water equations
- THREE-LAYER APPROXIMATION OF TWO-LAYER SHALLOW WATER EQUATIONS
- Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Flux globalization based well-balanced path-conservative central-upwind scheme for two-layer thermal rotating shallow water equations
