High order structure-preserving arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the Euler equations under gravitational fields
From MaRDI portal
Publication:6052343
DOI10.1016/j.camwa.2023.07.029OpenAlexW4385975490MaRDI QIDQ6052343
Yan Xu, Yinhua Xia, Yulong Xing, Weijie Zhang
Publication date: 21 September 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2023.07.029
Euler equationsdiscontinuous Galerkin methodsgravitational fieldpositivity-preservingwell-balancedarbitrary Lagrangian-Eulerian
Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Euler equations (35Q31)
Cites Work
- Unnamed Item
- Unnamed Item
- Positivity-preserving Lagrangian scheme for multi-material compressible flow
- Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium
- Well-balanced schemes for the Euler equations with gravitation
- Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms
- Discontinuous Galerkin solution of the Navier-Stokes equations on deformable domains
- A second-order, discretely well-balanced finite volume scheme for Euler equations with gravity
- On Godunov-type methods near low densities
- Lagrangian-Eulerian finite element formulation for incompressible viscous flows
- Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
- Upwind methods for hyperbolic conservation laws with source terms
- On the computation of multi-material flows using ALE formulation.
- Well-balanced discontinuous Galerkin methods with hydrostatic reconstruction for the Euler equations with gravitation
- A discontinuous Galerkin ALE method for compressible viscous flows in moving domains
- An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
- On positivity preserving finite volume schemes for Euler equations
- High order well-balanced WENO scheme for the gas dynamics equations under gravitational fields
- Well-balanced nodal discontinuous Galerkin method for Euler equations with gravity
- Positivity-preserving well-balanced arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the shallow water equations
- Well-balanced high-order finite difference methods for systems of balance laws
- Well-balanced high-order finite volume methods for systems of balance laws
- High order finite volume WENO schemes for the Euler equations under gravitational fields
- 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
- Parametrized positivity preserving flux limiters for the high order finite difference WENO scheme solving compressible Euler equations
- Single-step arbitrary Lagrangian-Eulerian discontinuous Galerkin method for 1-D Euler equations
- Strong Stability-Preserving High-Order Time Discretization Methods
- Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: Analysis and application in one dimension
- Bound-Preserving High-Order Schemes
- Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem
- On the Choice of Wavespeeds for the HLLC Riemann Solver
- Arbitrary Order Finite Volume Well-Balanced Schemes for the Euler Equations with Gravity
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- Second-Order Invariant Domain Preserving Approximation of the Euler Equations Using Convex Limiting
- A Wave Propagation Method for Conservation Laws and Balance Laws with Spatially Varying Flux Functions
- High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes
- Finite-volume schemes for shallow-water equations
- A Second Order Well-Balanced Finite Volume Scheme for Euler Equations with Gravity
- A Survey of High Order Schemes for the Shallow Water Equations
- Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws on moving simplex meshes
- Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness
