Centered-Potential Regularization for the Advection Upstream Splitting Method
From MaRDI portal
Publication:2829435
DOI10.1137/15M1021817MaRDI QIDQ2829435
Martin Parisot, Jean-Paul Vila
Publication date: 28 October 2016
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
conservation lawsentropy dissipationwell-balanced schemeasymptotic preservinglow-Mach numberlow-Froude number
Asymptotic behavior of solutions to PDEs (35B40) Hydrology, hydrography, oceanography (86A05) Finite volume methods applied to problems in fluid mechanics (76M12) First-order nonlinear hyperbolic equations (35L60) Stability and instability of geophysical and astrophysical flows (76E20)
Related Items
Numerical Staggered Schemes for the Free-Congested Navier--Stokes Equations ⋮ An asymptotic preserving and energy stable scheme for the barotropic Euler system in the incompressible limit ⋮ Congested Shallow Water Model: Trapped Air Pockets Modeling ⋮ Semi-implicit staggered mesh scheme for the multi-layer shallow water system ⋮ Analysis of dissipation operators that damp spurious modes while maintaining discrete approximate geostrophic equilibriums for the B-grid staggered scheme on triangular meshes ⋮ An explicit asymptotic preserving low Froude scheme for the multilayer shallow water model with density stratification ⋮ Behavior of the Discontinuous Galerkin Method for Compressible Flows at Low Mach Number on Triangles and Tetrahedrons ⋮ A semi-implicit finite volume scheme for dissipative measure-valued solutions to the barotropic Euler system ⋮ Energy-stable staggered schemes for the shallow water equations ⋮ Congested shallow water model: roof modeling in free surface flow ⋮ Congested shallow water model: on floating body ⋮ A low Mach correction able to deal with low Mach acoustics
Cites Work
- Unnamed Item
- Unnamed Item
- An accurate low-Mach scheme for a compressible two-fluid model applied to free-surface flows
- Numerical scheme for multilayer shallow-water model in the low-Froude number regime
- A new form of governing equations of fluids arising from Hamilton's principle
- A multilayer Saint-Venant model: derivation and numerical validation
- High order extensions of roe schemes for two-dimensional nonconservative hyperbolic systems
- Theories of immiscible and structured mixtures
- Analysis of Godunov type schemes applied to the compressible Euler system at low Mach number
- Numerical solutions of Euler-Poisson systems for potential flows
- Dynamic phase transitions in a van der Waals fluid
- A new flux splitting scheme
- Upwind methods for hyperbolic conservation laws with source terms
- Analysis and computation with stratified fluid models
- On the Riemann problem for non-conservative hyperbolic systems
- Numerical approximation of hyperbolic systems of conservation laws
- A kinetic scheme for the Saint-Venant system with a source term
- On the behaviour of upwind schemes in the low Mach number limit
- A well-balanced numerical scheme for a one-dimensional quasilinear hyperbolic model of chemotaxis
- High-order well-balanced finite volume WENO schemes for shallow water equation with moving water
- Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
- Nonlinear theory of geostrophic adjustment. Part 1. Rotating shallow-water model
- Study of a low Mach nuclear core model for two-phase flows with phase transition I: stiffened gas law
- Asymptotic Shallow Water Models for Internal Waves in a Two-Fluid System with a Free Surface
- Local Well-Posedness of the Two-Layer Shallow Water Model with Free Surface
- An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment
- Well-Balanced High Order Extensions of Godunov's Method for Semilinear Balance Laws
- Optimal Transport for the System of Isentropic Euler Equations
- Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
- Compressible and incompressible fluids
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
- A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
- Systems of conservation laws
- On the equations of motion for mixtures of liquid and gas bubbles
- Two Interface-Type Numerical Methods for Computing Hyperbolic Systems with Geometrical Source Terms Having Concentrations
- The incompressible limit of the non-isentropic Euler equations
