Skip to Main content Skip to Navigation
Journal articles

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

Abstract : In this paper, we prove the convergence of a class of finite volume schemes for the model of coupling between a Burgers fluid and a pointwise particle introduced in [LST08]. In this model, the particle is seen as a moving interface through which an interface condition is imposed, which links the velocity of the fluid on the left and on the right of the particle and the velocity of the particle (the three quantities are all not equal in general). The total impulsion of the system is conserved through time.The proposed schemes are consistent with a “large enough” part of the interface conditions. The proof of convergence is an extension of the one of [AS12] to the case where the particle moves under the influence of the fluid. It yields two main difficulties: first, we have to deal with time-dependent flux and interface condition, and second with the coupling between and ODE and a PDE.
Document type :
Journal articles
Complete list of metadata

Cited literature [18 references]  Display  Hide  Download

https://hal.inria.fr/hal-01077311
Contributor : Nina Aguillon <>
Submitted on : Friday, October 24, 2014 - 2:05:08 PM
Last modification on : Monday, July 5, 2021 - 9:46:50 AM
Long-term archiving on: : Sunday, January 25, 2015 - 10:25:48 AM

Files

ConvergenceBurgersParticle.pdf
Files produced by the author(s)

Identifiers

Citation

Nina Aguillon, Frédéric Lagoutière, Nicolas Seguin. Convergence of finite volumes schemes for the coupling between the inviscid Burgers equation and a particle. Mathematics of Computation, American Mathematical Society, 2017, 86, pp.157-196 ⟨10.1090/mcom/3082⟩. ⟨hal-01077311⟩

Share

Metrics

Record views

603

Files downloads

224