Small solids in an inviscid fluid

DOI10.3934/nhm.2010.5.385zbMath1262.35180OpenAlexW1963703804MaRDI QIDQ1943817

Nicolas Seguin, Boris P. Andreianov, Frédéric Lagoutière, Takéo Takahashi

Publication date: 21 March 2013

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2010.5.385

zbMATH Keywords

entropy solutionBurgers equationRiemann solversingular source termwell-balanced schemeODE-PDE systemadapted entropyrandom-choice method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Theoretical approximation in context of PDEs (35A35) Initial value problems for nonlinear first-order PDEs (35F25) Degenerate hyperbolic equations (35L80) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (6)

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 ⋮ Riemann problem for a particle–fluid coupling ⋮ Choice of measure source terms in interface coupling for a model problem in gas dynamics ⋮ Convergence of finite volume schemes for the coupling between the inviscid Burgers equation and a particle

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