High-order compact gas-kinetic scheme for two-layer shallow water equations on unstructured mesh
From MaRDI portal
Publication:6147004
DOI10.1016/j.jcp.2023.112651arXiv2306.04467MaRDI QIDQ6147004
Unnamed Author, Unnamed Author, Fengxiang Zhao
Publication date: 31 January 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.04467
unstructured meshgas-kinetic schemetwo-layer shallow water equationshigh-order compact reconstruction
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Incompressible inviscid fluids (76Bxx)
Cites Work
- Solution properties and approximate Riemann solvers for two-layer shallow flow models
- Discontinuous Galerkin methods with nodal and hybrid modal/nodal triangular, quadrilateral, and polygonal elements for nonlinear shallow water flow
- Numerical treatment of the loss of hyperbolicity of the two-layer shallow-water system
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method, III: Unstructured meshes
- A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case
- Application of conservative residual distribution schemes to the solution of the shallow water equations on unstructured meshes
- A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
- A robust well-balanced scheme for multi-layer shallow water equations
- Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- A well-balanced gas-kinetic scheme for the shallow-water equations with source terms
- An efficient and accurate two-stage fourth-order gas-kinetic scheme for the Euler and Navier-Stokes equations
- High-order discontinuous Galerkin methods for coastal hydrodynamics applications
- A new well-balanced finite-volume scheme on unstructured triangular grids for two-dimensional two-layer shallow water flows with wet-dry fronts
- A compact high-order gas-kinetic scheme on unstructured mesh for acoustic and shock wave computations
- Well-balanced bicharacteristic-based scheme for multilayer shallow water flows including wet/dry fronts
- High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments
- High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms
- Direct modeling for computational fluid dynamics and the construction of high-order compact scheme for compressible flow simulations
- AQ-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system
- Two-Layer Shallow Water System: A Relaxation Approach
- Central-Upwind Schemes for Two-Layer Shallow Water Equations
- The surface gradient method for the treatment of source terms in the shallow-water equations
- A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method