Well-balanced mesh-based and meshless schemes for the shallow-water equations

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Related Items (2)

Completion of right-hand side in the frame of inverse Cauchy problem of elliptic type equation through homogenization meshless collocation method ⋮ Discrete shallow water equations preserving symmetries and conservation laws

Uses Software

rbf_qr

Cites Work

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Mass, momentum and energy conserving (MaMEC) discretizations on general grids for the compressible Euler and shallow water equations
A mimetic mass, momentum and energy conserving discretization for the shallow water equations
Stabilization of RBF-generated finite difference methods for convective PDEs
Minimal positive stencils in meshfree finite difference methods for the Poisson equation
On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs
The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
Mimetic discretizations for Maxwell's equations
Conservation properties of smoothed particle hydrodynamics applied to the shallow water equation
Using radial basis function-generated finite differences (RBF-FD) to solve heat transfer equilibrium problems in domains with interfaces
Compactly supported radial basis functions for shallow water equations.
Some approximate Godunov schemes to compute shallow-water equations with topography.
Symmetry-preserving discretization of turbulent flow.
Statistical relevance of vorticity conservation in the Hamiltonian particle-mesh method
A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system
A grid-free, nonlinear shallow-water model with moving boundary
Stable Computations with Gaussian Radial Basis Functions
A Primer on Radial Basis Functions with Applications to the Geosciences
Some exact solutions to the nonlinear shallow-water wave equations
A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
Solving PDEs with radial basis functions
Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes

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