High-order accurate well-balanced energy stable adaptive moving mesh finite difference schemes for the shallow water equations with non-flat bottom topography
DOI10.1016/j.jcp.2023.112451arXiv2303.06924OpenAlexW4386101102MaRDI QIDQ6054221
Zhihao Zhang, Junming Duan, Hua-Zhong Tang
Publication date: 27 September 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.06924
shallow water equationshigh-order accuracyenergy stabilityadaptive moving meshhigh efficiencywell-balance
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)
Cites Work
- Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium
- Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes
- Hybrid well-balanced WENO schemes with different indicators for shallow water equations
- Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography
- High order extensions of roe schemes for two-dimensional nonconservative hyperbolic systems
- An adaptive grid with directional control
- ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations
- A gas-kinetic scheme for shallow-water equations with source terms
- Adaptive zoning for singular problems in two dimensions
- Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
- An \(r\)-adaptive finite element method based upon moving mesh PDEs
- Upwind methods for hyperbolic conservation laws with source terms
- Low dissipative entropy stable schemes using third order WENO and TVD reconstructions
- A three-dimensional adaptive method based on the iterative grid redistribution
- An iterative grid redistribution method for singular problems in multiple dimensions
- A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography
- High-order accurate entropy stable nodal discontinuous Galerkin schemes for the ideal special relativistic magnetohydrodynamics
- Entropy stable adaptive moving mesh schemes for 2D and 3D special relativistic hydrodynamics
- High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics
- High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics
- High order well-balanced finite difference WENO interpolation-based schemes for shallow water equations
- A Newton multigrid method for steady-state shallow water equations with topography and dry areas
- A new well-balanced non-oscillatory central scheme for the shallow water equations on rectangular meshes
- High-order well-balanced finite volume WENO schemes for shallow water equation with moving water
- An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
- High order finite difference WENO schemes with the exact conservation property for the shallow water equations
- Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
- Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh
- High-order accurate entropy stable adaptive moving mesh finite difference schemes for (multi-component) compressible Euler equations with the stiffened equation of state
- Well-balanced fifth-order finite difference Hermite WENO scheme for the shallow water equations
- A Moving Mesh Method for One-dimensional Hyperbolic Conservation Laws
- Numerical Methods for the Nonlinear Shallow Water Equations
- Runge-Kutta Discontinuous Local Evolution Galerkin Methods for the Shallow Water Equations on the Cubed-Sphere Grid
- Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations
- Moving Finite Elements. II
- An Adaptive Finite Element Method for Initial-Boundary Value Problems for Partial Differential Equations
- A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations
- Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
- Solution of the shallow‐water equations using an adaptive moving mesh method
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- Fully Discrete, Entropy Conservative Schemes of ArbitraryOrder
- A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations
- Finite-volume schemes for shallow-water equations
- Solution of shallow water equations using fully adaptive multiscale schemes
- An efficient dynamically adaptive mesh for potentially singular solutions
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