Skip to Main content Skip to Navigation
Theses

Simulation numérique d'écoulements gravitaires à fortes différences de densité. Application aux avalanches

Abstract : Flows of binary mixtures of incompressible, miscible fluids of very large density difference are considered. These flows are governed by the non-homogeneous Navier--Stokes equations, coupled with a convection-diffusion equation governing the evolution of the mixture composition. We present an algorithm that combines the method of characteristics, for the transport terms discretization, and the finite elements method with automatic mesh adaptation, and we prove that the solution obtained converges to the exact solution as the mesh and time steps go to zero. The robustness of this algorithm enables us to perform the first direct numerical simulations of lock-exchange flows with high density ratios, and to validate them by comparison with experiments. Dense cloud flows on slopes are also simulated, allowing to analyse the influence of the density ratio on the powder-snow avalanche flows.
Document type :
Theses
Complete list of metadatas

https://tel.archives-ouvertes.fr/tel-00007133
Contributor : Jocelyn Etienne <>
Submitted on : Friday, October 15, 2004 - 6:09:04 PM
Last modification on : Friday, November 6, 2020 - 4:38:52 AM
Long-term archiving on: : Friday, April 2, 2010 - 8:39:57 PM

Identifiers

  • HAL Id : tel-00007133, version 1

Collections

Citation

Jocelyn Etienne. Simulation numérique d'écoulements gravitaires à fortes différences de densité. Application aux avalanches. Mathématiques [math]. Institut National Polytechnique de Grenoble - INPG, 2004. Français. ⟨tel-00007133⟩

Share

Metrics

Record views

351

Files downloads

1131