A moving water equilibria preserving nonstaggered central scheme achieved via flux globalization for the ripa model
From MaRDI portal
Publication:6623063
DOI10.1007/s10473-024-0615-zMaRDI QIDQ6623063
Publication date: 23 October 2024
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
flux globalizationRunge-Kutta solversnonstaggered central schememoving-water steady statesripa model
Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65)
Cites Work
- Moving-water equilibria preserving central-upwind schemes for the shallow water equations
- High order exactly well-balanced numerical methods for shallow water systems
- Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium
- A well-balanced reconstruction of wet/dry fronts for the shallow water equations
- Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients
- Flux-gradient and source-term balancing for certain high resolution shock-capturing schemes
- Well-balanced unstaggered central schemes for one and two-dimensional shallow water equation systems
- Well-balanced central finite volume methods for the Ripa system
- Hybrid second order schemes for scalar balance laws
- On the advantage of well-balanced schemes for moving-water equilibria of the shallow water equations
- Non-oscillatory central differencing for hyperbolic conservation laws
- Central unstaggered finite volume schemes for hyperbolic systems: Applications to unsteady shallow water equations
- Third order nonoscillatory central scheme for hyperbolic conservation laws
- Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- Well-balanced finite difference WENO schemes for the ripa model
- 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
- High order well-balanced discontinuous Galerkin methods for shallow water flow under temperature fields
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- A robust second-order surface reconstruction for shallow water flows with a discontinuous topography and a Manning friction
- A reliable second-order hydrostatic reconstruction for shallow water flows with the friction term and the bed source term
- Galerkin finite element methods for the shallow water equations over variable bottom
- Well-balancing via flux globalization: applications to shallow water equations with wet/dry fronts
- A strong solution of Navier-Stokes equations with a rotation effect for isentropic compressible fluids
- Flux globalization based well-balanced path-conservative central-upwind schemes for shallow water models
- 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
- High order still-water and moving-water equilibria preserving discontinuous Galerkin methods for the Ripa model
- Well-balanced high-order finite volume methods for systems of balance laws
- A new approach for designing moving-water equilibria preserving schemes for the shallow water equations
- 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
- A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system
- High order finite difference WENO schemes with the exact conservation property for the shallow water equations
- High-order well-balanced methods for systems of balance laws: a control-based approach
- A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows
- Moving-Water Equilibria Preserving Partial Relaxation Scheme for the Saint-Venant System
- High order well balanced schemes for systems of balance laws
- Common Hamiltonian structure of the shallow water equations with horizontal temperature gradients and magnetic fields
- Simple and efficient solution of the shallow water equations with source terms
- Central WENO schemes for hyperbolic systems of conservation laws
- 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
- A Finite Volume Extension of the Lax-Friedrichs and Nessyahu-Tadmor Schemes for Conservation Laws on Unstructured Grids
- Central-Upwind Schemes for the Saint-Venant System
- Compact Central WENO Schemes for Multidimensional Conservation Laws
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- Central Runge--Kutta Schemes for Conservation Laws
- A Fourth-Order Central WENO Scheme for Multidimensional Hyperbolic Systems of Conservation Laws
- On improving a one-layer ocean model with thermodynamics
- A Very Easy High-Order Well-Balanced Reconstruction for Hyperbolic Systems with Source Terms
- A High-Order Well-Balanced Discontinuous Galerkin Method Based on the Hydrostatic Reconstruction for the Ripa Model
- A Survey of High Order Schemes for the Shallow Water Equations
- Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds
- Modeling Shallow Water Flows Using the Discontinuous Galerkin Method
- Construction of second-order TVD schemes for nonhomogeneous hyperbolic conservation laws
- Local structure-preserving algorithms for the Klein-Gordon-Zakharov equation
- Arbitrary high order WENO finite volume scheme with flux globalization for moving equilibria preservation
- Moving water equilibria preserving nonstaggered central scheme for open‐channel flows
- Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows: global flux quadrature and cell entropy correction
This page was built for publication: A moving water equilibria preserving nonstaggered central scheme achieved via flux globalization for the ripa model