Reprint of: ``Well-balanced methods for the shallow water equations in spherical coordinates
From MaRDI portal
Publication:720849
DOI10.1016/j.compfluid.2018.03.052zbMath1391.76392OpenAlexW2793441375MaRDI QIDQ720849
Sergio Ortega, Manuel J. Castro, C. Parés-Madroñal
Publication date: 18 July 2018
Published in: Computers and Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.compfluid.2018.03.052
Finite volume methodsApproximate Riemann solversHigh order methods,Shallow water modelWell-balanced methods
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A second order PVM flux limiter method. Application to magnetohydrodynamics and shallow stratified flows
- Two-dimensional compact third-order polynomial reconstructions. Solving nonconservative hyperbolic systems using GPUs
- High order extensions of roe schemes for two-dimensional nonconservative hyperbolic systems
- Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint)
- A gas-kinetic scheme for shallow-water equations with source terms
- Well-balanced finite volume evolution Galerkin methods for the shallow water equations
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
- Restoration of the contact surface in the HLL-Riemann solver
- Upwind methods for hyperbolic conservation laws with source terms
- A family of stable numerical solvers for the shallow water equations with source terms.
- Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws
- Efficient GPU implementation of a two waves TVD-WAF method for the two-dimensional one layer shallow water system on structured meshes
- High-order well-balanced finite volume WENO schemes for shallow water equation with moving water
- On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas
- High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms
- Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
- Building blocks for arbitrary high order discontinuous Galerkin schemes
- On the accuracy of WENO and CWENO reconstructions of third order on nonuniform meshes
- Well-Balanced Schemes and Path-Conservative Numerical Methods
- Numerical Methods for the Nonlinear Shallow Water Equations
- A Class of Computationally Fast First Order Finite Volume Solvers: PVM Methods
- High order well balanced schemes for systems of balance laws
- Well-Balanced High Order Extensions of Godunov's Method for Semilinear Balance Laws
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- A weighted average flux method for hyperbolic conservation laws
- Local Piecewise Hyperbolic Reconstruction of Numerical Fluxes for Nonlinear Scalar Conservation Laws
- Total variation diminishing Runge-Kutta schemes
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- Centred TVD schemes for hyperbolic conservation laws
- On the well-balance property of Roe's method for nonconservative hyperbolic systems. applications to shallow-water systems
- High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems
- Numerical methods for nonconservative hyperbolic systems: a theoretical framework.