Section: New Results
Mobile bed and sediment transport
Participants : Hervé Guillard, Boniface Nkonga, Marco Bilanceri [ University di Pisa, Italy ] , Maria-Vittoria Salvetti [ University of Pisa, Italy ] , Imad Elmahi [ University of Oudja, Morocco ] .
In the framework of a collaborative 3+3 Euro-Mediteranée action, we have studied the numerical approximation of a model coupling the shallow-water equations with a sediment transport equation for the morphodynamic. In shallow-water problems, time advancing can be carried out by explicit schemes. However, if the interaction with the mobile bed is weak, the characteristic time scales of the flow and of the sediment transport can be very different introducing time stiffness in the global problem. For this case, it is of great interest to use implicit schemes. The aim of the present paper is to investigate the behaviour of implicit linearised schemes in this context. A communication on this subject has been submitted to the 2010 Eccomas CFD conference.
Models of granular avalanches over general topography with erosion and deposition
Participants : Boniface Nkonga, Jeu-Jiun Hu [ Department of Information Management, Shu-Te University, Taiwan ] , Chih-Yu Kuo [ Research Center for Applied Sciences, Academia Sinica ] , Yang-Yao Niu [ Department of Mechanical Engineering, Chung Hua University ] , Keh-Ming Shyue [ Department of Mathematics, National Taiwan University ] , Yih-Chin Tai [ Department of Civil Engineering, National Chi Nan University ] , Yu-Heng Tseng [ Department of Atmospheric Sciences, National Taiwan University ] .
In the framework of a collaborative PHC Orchid action (see section 8.2.1 ) we have studied the development and the validation of a 1D model of granular avalanche. This model integrates simplified mechanisms of erosion and deposition. Comparisons with laboratory experiments realized in Taiwan are planned in a second stage of the project. Further work aiming to develop a 2D version of the numerical model over arbitrary and complex topography is currently carried out.  ,