High order well-balanced discontinuous Galerkin methods for shallow water flow under temperature fields
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Publication:1715646
DOI10.1007/S40314-018-0662-YzbMath1413.65373OpenAlexW2807414612WikidataQ129729521 ScholiaQ129729521MaRDI QIDQ1715646
Fengjing Shao, Shouguo Qian, Gang Li
Publication date: 29 January 2019
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-018-0662-y
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (7)
A well-balanced Runge-Kutta discontinuous Galerkin method for the Euler equations in isothermal hydrostatic state under gravitational field ⋮ A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes ⋮ A High-Order Well-Balanced Discontinuous Galerkin Method Based on the Hydrostatic Reconstruction for the Ripa Model ⋮ A well-balanced high-order scheme on van Leer-type for the shallow water equations with temperature gradient and variable bottom topography ⋮ Godunov-type numerical scheme for the shallow water equations with horizontal temperature gradient ⋮ Well-balanced numerical schemes for shallow water equations with horizontal temperature gradient ⋮ A well-balanced numerical scheme for a model of two-phase flows with treatment of nonconservative terms
Cites Work
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- Well-balanced discontinuous Galerkin methods for the Euler equations under gravitational fields
- Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium
- Well-balanced schemes for the Euler equations with gravitation
- Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients
- Well-balanced central finite volume methods for the Ripa system
- On the advantage of well-balanced schemes for moving-water equilibria of the shallow water equations
- A new finite volume method for flux-gradient and source-term balancing in shallow water equations
- A discontinuous Galerkin algorithm for the two-dimensional shallow water equations
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- 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
- A well-balanced gas-kinetic scheme for the shallow-water equations with source terms
- Well-balanced finite difference WENO schemes for the ripa model
- Well-balanced discontinuous Galerkin methods with hydrostatic reconstruction for the Euler equations with gravitation
- A kinetic scheme for the Saint-Venant system with a source term
- High order well-balanced WENO scheme for the gas dynamics equations under gravitational fields
- High order finite volume WENO schemes for the Euler equations under gravitational fields
- High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments
- A three-dimensional multidimensional gas-kinetic scheme for the Navier-Stokes equations under gravitational fields
- High order finite difference WENO schemes with the exact conservation property for the shallow water equations
- A Well-Balanced Symplecticity-Preserving Gas-Kinetic Scheme for Hydrodynamic Equations under Gravitational Field
- Well-balancing issues related to the RKDG2 scheme for the shallow water equations
- A well-balanced Runge-Kutta discontinuous Galerkin method for the shallow-water equations with flooding and drying
- Interface tracking method for compressible multifluids
- Common Hamiltonian structure of the shallow water equations with horizontal temperature gradients and magnetic fields
- Total-Variation-Diminishing Time Discretizations
- Analysis and Approximation of Conservation Laws with Source Terms
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
- On improving a one-layer ocean model with thermodynamics
- A Survey of High Order Schemes for the Shallow Water Equations
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