Convergence of finite volume schemes for the coupling between the inviscid Burgers equation and a particle

DOI10.1090/mcom/3082zbMath1380.65192arXiv1412.0376OpenAlexW2209476377MaRDI QIDQ2826678

Nina Aguillon, Nicolas Seguin, Frédéric Lagoutière

Publication date: 18 October 2016

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.0376

zbMATH Keywords

Burgers equationmoving interfacePDE-ODE couplingfluid-particle interactionnon-conservative couplingconvergence of finite volume schemes

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Moving boundary problems for PDEs (35R37) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Second-order quasilinear hyperbolic equations (35L72)

Related Items (4)

A fixed grid, shifted stencil scheme for inviscid fluid-particle interaction ⋮ The Lax-Friedrichs scheme for interaction between the inviscid Burgers equation and multiple particles ⋮ Finite volume approximation and well-posedness of conservation laws with moving interfaces under abstract coupling conditions ⋮ A Macroscopic Model for Platooning in Highway Traffic

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