Riemann problem for a particle-fluid coupling
Analysis of PDEs
2016-03-16 v2 Numerical Analysis
Abstract
We present a model of coupling between a point wise particle and a compressible inviscid fluid following the Euler equations. The interaction between the fluid and the particle is achieved through a drag force. It writes as the product of a discontinuous function and a Dirac measure. After defining the solution, we solve the Riemann problem with a fixed particle for arbitrary data. We exhibit a set of condition on the drag force under which there exists a unique self-similar solution.
Keywords
Cite
@article{arxiv.1312.2692,
title = {Riemann problem for a particle-fluid coupling},
author = {Nina Aguillon},
journal= {arXiv preprint arXiv:1312.2692},
year = {2016}
}