Late-time asymptotic behavior of solutions to hyperbolic conservation laws on the sphere
From MaRDI portal
Publication:2174140
DOI10.1016/j.cma.2019.02.012zbMath1441.58015OpenAlexW2915824268MaRDI QIDQ2174140
Abdelaziz Beljadid, Abdolmajid M. Mohammadian, Philippe G. LeFloch
Publication date: 20 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2019.02.012
Asymptotic behavior of solutions to PDEs (35B40) Hyperbolic conservation laws (35L65) Invariance and symmetry properties for PDEs on manifolds (58J70) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (4)
Asymptotic Structure of Cosmological Burgers Flows in One and Two Space Dimensions: A Numerical Study ⋮ A class of well-balanced algorithms for relativistic fluids on a Schwarzschild background ⋮ Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary ⋮ Asymptotic structure of cosmological fluid flows: a numerical study
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Scalar conservation laws on moving hypersurfaces
- Unstructured finite volume discretisation of bed friction and convective flux in solute transport models linked to the shallow water equations
- Geometric error of finite volume schemes for conservation laws on evolving surfaces
- A nodal triangle-based spectral element method for the shallow water equations on the sphere
- Hyperbolic conservation laws on the sphere. A geometry-compatible finite volume scheme
- Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes
- Hyperbolic conservation laws on manifolds: total variation estimates and the finite volume method
- An asymptotic expansion for the solution of the generalized Riemann problem. II: Application to the equation of gas dynamics
- Hyperbolic conservation laws on manifolds with limited regularity
- Numerical solutions of partial differential equations
- Finite volume schemes on Lorentzian manifolds
- A standard test set for numerical approximations to the shallow water equations in spherical geometry
- Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
- Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
- Well-balanced positivity preserving cell-vertex central-upwind scheme for shallow water flows
- A coupled numerical model for water flow, sediment transport and bed erosion
- An asymptotic expansion for the solution of the generalized Riemann problem. I: General theory
- A wave propagation algorithm for hyperbolic systems on curved manifolds
- The ``cubed sphere: A new method for the solution of partial differential equations in spherical geometry
- Lagrange-Galerkin methods on spherical geodesic grids: The shallow water equations
- Well-posedness theory for geometry-compatible hyperbolic conservation laws on manifolds
- High-order triangle-based discontinuous Galerkin methods for hyperbolic equations on a rotating sphere
- A wave propagation method for hyperbolic systems on the sphere
- Hyperbolic Conservation Laws on Spacetimes
- Relativistic Burgers Equations on Curved Spacetimes. Derivation and Finite Volume Approximation
- A convergence result for finite volume schemes on Riemannian manifolds
- Finite elements on evolving surfaces
- Logically Rectangular Grids and Finite Volume Methods for PDEs in Circular and Spherical Domains
- Logically rectangular finite volume methods with adaptive refinement on the sphere
- Hyperbolic conservation laws on spacetimes. A finite volume scheme based on differential forms
- Finite Volume Methods for Hyperbolic Problems
- Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws
- A Wave Propagation Method for Conservation Laws and Balance Laws with Spatially Varying Flux Functions
- Generalized Riemann Problems in Computational Fluid Dynamics
- Conservative, high-order numerical schemes for the generalized Korteweg—de Vries equation
- A Geometry-Preserving Finite Volume Method for Compressible Fluids on Schwarzschild Spacetime
- Hyperbolic conservation laws and spacetimes with limited regularity
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
- A wave propagation method for three-dimensional hyperbolic conservation laws
This page was built for publication: Late-time asymptotic behavior of solutions to hyperbolic conservation laws on the sphere
