Numerical simulations of the Euler system with congestion constraint

DOI10.1016/j.jcp.2011.07.010zbMath1408.76379arXiv1008.4045OpenAlexW1982983178MaRDI QIDQ655084

Laurent Navoret, Jiale Hua, Pierre Degond

Publication date: 28 December 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4045

zbMATH Keywords

finite volume schemecongestionasymptotic-preserving schemespressureless gas dynamicsall-speed flows

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (22)

Weak-strong uniqueness for the compressible Navier-Stokes equations with a hard-sphere pressure law ⋮ Free/Congested Two-Phase Model from Weak Solutions to Multi-Dimensional Compressible Navier-Stokes Equations ⋮ Transport of congestion in two-phase compressible/incompressible flows ⋮ Two-phase compressible/incompressible Navier-Stokes system with inflow-outflow boundary conditions ⋮ Compressible Navier-Stokes system with the hard sphere pressure law in an exterior domain ⋮ A hierarchy of heuristic-based models of crowd dynamics ⋮ Numerical Staggered Schemes for the Free-Congested Navier--Stokes Equations ⋮ Asymptotic problems and numerical schemes for traffic flows with unilateral constraints describing the formation of jams ⋮ Hard-congestion limit of the p-system in the BV setting ⋮ Compression effects in heterogeneous media ⋮ From short-range repulsion to Hele-Shaw problem in a model of tumor growth ⋮ The non-uniqueness of admissible solutions to 2D Riemann problem of compressible isentropic Euler system with maximum density constraint ⋮ A relaxation model for numerical approximations of the multidimensional pressureless gas dynamics system ⋮ On the incompressible limit for a tumour growth model incorporating convective effects ⋮ Modelling of phase transitions in granular flows ⋮ Singular limit of a Navier-Stokes system leading to a free/congested zones two-phase model ⋮ Waves interacting with a partially immersed obstacle in the Boussinesq regime ⋮ Soft congestion approximation to the one-dimensional constrained Euler equations ⋮ Finite volume approximations of the Euler system with variable congestion ⋮ Partially congested propagation fronts in one-dimensional Navier-Stokes equations ⋮ Singular limit for the compressible Navier-Stokes equations with the hard sphere pressure law on expanding domains ⋮ Macroscopic models of collective motion and self-organization

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