Convergence of finite volumes schemes for the coupling between the inviscid Burgers equation and a particleReportar como inadecuado




Convergence of finite volumes schemes for the coupling between the inviscid Burgers equation and a particle - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

1 LM-Orsay - Laboratoire de Mathématiques d-Orsay 2 LJLL - Laboratoire Jacques-Louis Lions 3 ANGE - Numerical Analysis, Geophysics and Ecology LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt

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.

Keywords : PDE-ODE coupling convergence of finite volume schemes moving interface Non-conservative coupling Burgers equation Fluid-particle interaction





Autor: Nina Aguillon - Frédéric Lagoutière - Nicolas Seguin -

Fuente: https://hal.archives-ouvertes.fr/



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