A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Rotating Shallow Water Equations with Nonflat Bottom Topography
From MaRDI portal
Publication:5088774
DOI10.1137/21M141573XOpenAlexW4283389067MaRDI QIDQ5088774
Yongle Liu, Alexander Kurganov, Mária Lukáčová-Medvid'ová
Publication date: 13 July 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m141573x
well-balanced schemecentral-upwind schemerotating shallow water equationsasymptotic preserving schemeflux splittingimplicit-explicit approach
Finite volume methods applied to problems in fluid mechanics (76M12) General theory of rotating fluids (76U05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (2)
Well-balanced numerical method for atmospheric flow equations with gravity ⋮ Analysis of dissipation operators that damp spurious modes while maintaining discrete approximate geostrophic equilibriums for the B-grid staggered scheme on triangular meshes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Well balanced finite volume methods for nearly hydrostatic flows
- Asymptotic preserving scheme for the shallow water equations with source terms on unstructured meshes
- Well-balanced finite volume evolution Galerkin methods for the shallow water equations
- Non-oscillatory central differencing for hyperbolic conservation laws
- Conservative discretization of Coriolis force in a finite volume framework
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- A semi-implicit multiscale scheme for shallow water flows at low Froude number
- Asymptotic preserving IMEX finite volume schemes for low Mach number Euler equations with gravitation
- Well-balanced schemes for the shallow water equations with Coriolis forces
- Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system
- Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
- Preservation of the Discrete Geostrophic Equilibrium in Shallow Water Flows
- Asymptotic-Preserving Schemes for Multiscale Hyperbolic and Kinetic Equations
- Scale-Dependent Models for Atmospheric Flows
- Two-Layer Shallow Water Equations with Complete Coriolis Force and Topography
- Nonlinear geostrophic adjustment, cyclone/anticyclone asymmetry, and potential vorticity rearrangement
- Shallow water equations with a complete Coriolis force and topography
- Multilayer shallow water equations with complete Coriolis force. Part 1. Derivation on a non-traditional beta-plane
- High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- On the Artificial Compression Method for Second-Order Nonoscillatory Central Difference Schemes for Systems of Conservation Laws
- Finite Volume Methods for Hyperbolic Problems
- Numerical Methods for Conservation Laws
- An All-Speed Asymptotic-Preserving Method for the Isentropic Euler and Navier-Stokes Equations
- Atmospheric and Oceanic Fluid Dynamics
- Frontal geostrophic adjustment and nonlinear wave phenomena in one-dimensional rotating shallow water. Part 2. High-resolution numerical simulations
- Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
- Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers
- A Novel Full-Euler Low Mach Number IMEX Splitting
- A Weakly Asymptotic Preserving Low Mach Number Scheme for the Euler Equations of Gas Dynamics
- Finite-volume schemes for shallow-water equations
- Second-Order Fully Discrete Central-Upwind Scheme for Two-Dimensional Hyperbolic Systems of Conservation Laws
- The RS-IMEX Scheme for the Rotating Shallow Water Equations with the Coriolis Force
- All Speed Scheme for the Low Mach Number Limit of the Isentropic Euler Equations
- Study of a New Asymptotic Preserving Scheme for the Euler System in the Low Mach Number Limit
- IMEX Large Time Step Finite Volume Methods for Low Froude Number Shallow Water Flows
This page was built for publication: A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Rotating Shallow Water Equations with Nonflat Bottom Topography
