Issue |
ESAIM: Proc.
Volume 28, 2009
CEMRACS 2008 - Modelling and Numerical Simulation of Complex Fluids
|
|
---|---|---|
Page(s) | 135 - 149 | |
DOI | https://doi.org/10.1051/proc/2009043 | |
Published online | 23 November 2009 |
Dry granular flows with erosion/deposition process
1
Academia Sinica (Taiwan), cykuo06@gate.sinica.edu.tw
2
Nice Sophia-Antipolis univ. (France), nkonga@unice.fr
3
INRIA Bordeaux Sud-Ouest(France), mario.ricchiuto@inria.fr
4
Chi Nan Univ (Taiwan), yctai@ncnu.edu.tw
5
GLAIZER group innovation agency (France), benjamin.braconnier@glaizer.com
In this work we use the erodible model proposed by Tai and Kuo [18] to investigate complex granular flows in which deposition and erosion are significant. The initial motivation comes from experiments of granular collapse which exhibit both phenomena. A numerical model with a flux balanced scheme is developed, and the eigenstructure of its quasilinear form as well as the entropy inequality are assessed. Numerical application is performed for granular column collapse is simulated by the new well-balanced scheme. For the latter, numerical results demonstrate an upward evolution of the interface between the flowing layer and stagnant base. Comparison between the numerical and the experimental data not only illustrates the advantages of this model of erosion/deposition mechanisms but also reveals the future directions for further study.
Résumé
Ce travail consiste à utiliser un modèle proposé par Tai and Kuo [18], pour étudier un écoulement granulaire sec, dans lequel l'érosion et la déposition jouent un rôle très important. Cette étude est motivée par des expériences d'effondrement d'une colonne de sable, qui montrent la coexistence des ces deux phénomènes physiques. Une approche numérique consistante et préservant certaines asymptotiques est étudiée et mise en œuvre. Les résultats numériques sont globalement cohérents aux expériences. Néanmoins, ils révèlent aussi les limites de l'actuelle modélisation du mécanisme d'érosion/déposition et suggèrent de futures investigations.
© EDP Sciences, ESAIM, 2009
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.