An explicit well-balanced scheme on staggered grids for barotropic Euler equations

DOI10.1051/m2an/2024035MaRDI QIDQ6619595

Sebastian Minjeaud, Thierry Goudon

Publication date: 16 October 2024

Published in: European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

balance lawsfinite volume schemesstaggered gridsshallow-waterwell-balanced schemes

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Euler equations (35Q31)

Cites Work

• Multifluid flows: a kinetic approach
• Mass, momentum and energy conserving (MaMEC) discretizations on general grids for the compressible Euler and shallow water equations
• A simple well-balanced and positive numerical scheme for the shallow-water system
• A well-balanced scheme for the shallow-water equations with topography
• High order accurate schemes for Euler and Navier-Stokes equations on staggered Cartesian grids
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Computational methods in Lagrangian and Eulerian hydrocodes
• 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
• Towards the ultimative conservative difference scheme. V: A second-order sequel to Godunov's method
• A conservative pressure-correction method for flow at all speeds.
• A MUSCL-type segregated -- explicit staggered scheme for the Euler equations
• Pressure correction staggered schemes for barotropic one-phase and two-phase flows
• A time-space model for the growth of microalgae biofilms for biofuel production
• A well-balanced positivity preserving ``second-order scheme for shallow water flows on unstructured meshes
• Numerical approximation of hyperbolic systems of conservation laws
• Conservation properties of a new unstructured staggered scheme
• Some approximate Godunov schemes to compute shallow-water equations with topography.
• On the behaviour of upwind schemes in the low Mach number limit
• Lax-Wendroff consistency of finite volume schemes for systems of non linear conservation laws: extension to staggered schemes
• High-order staggered schemes for compressible hydrodynamics. Weak consistency and numerical validation
• Improvement of the hydrostatic reconstruction scheme to get fully discrete entropy inequalities
• Numerical calculation of almost incompressible flow
• A numerical fluid dynamics calculation method for all flow speeds
• Staggered schemes for all speed flows
• Staggered discretizations, pressure correction schemes and all speed barotropic flows
• Consistency Analysis of a 1D Finite Volume Scheme for Barotropic Euler Models
• An Explicit Staggered Finite Volume Scheme for the Shallow Water Equations
• On the Behaviour of Upwind Schemes in the Low Mach Number Limit
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• Explicit staggered schemes for the compressible euler equations
• WELL-BALANCED NUMERICAL SCHEMES BASED ON A GENERALIZED HYDROSTATIC RECONSTRUCTION TECHNIQUE
• On some fast well-balanced first order solvers for nonconservative systems
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• Some exact solutions to the nonlinear shallow-water wave equations
• Second-Order Boltzmann Schemes for Compressible Euler Equations in One and Two Space Dimensions
• A staggered conservative scheme for every Froude number in rapidly varied shallow water flows
• Finite Volume Methods for Hyperbolic Problems
• Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations
• 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
• Equilibrium schemes for scalar conservation laws with stiff sources
• A Mach-uniform unstructured staggered grid method
• A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
• Computing Qualitatively Correct Approximations of Balance Laws
• SWASHES: a compilation of shallow water analytic solutions for hydraulic and environmental studies
• AnExplicit MUSCL SchemeonStaggeredGridswith Kinetic-Like Fluxes for the Barotropic and Full Euler System
• Kinetic schemes on staggered grids for barotropic Euler models: entropy-stability analysis
• Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system
• Numerical Passage from Kinetic to Fluid Equations
• A Method for the Numerical Calculation of Hydrodynamic Shocks
• Low Mach number limit of some staggered schemes for compressible barotropic flows
• Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations
• Hyperbolic Conservation Laws in Continuum Physics
• An asymptotic preserving scheme on staggered grids for the barotropic Euler system in low Mach regimes
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An explicit well-balanced scheme on staggered grids for barotropic Euler equations