American Institute of Mathematical Sciences

Advanced
November  2003, 3(4): 589-599. doi: 10.3934/dcdsb.2003.3.589

A model of granular flows over an erodible surface

E.B. Pitman 1, , C.C. Nichita 2, , A.K. Patra 1, , A.C. Bauer 1, , M. Bursik 3, and  A. Webb 4,

1. 

University at Buffalo, Buffalo, NY 14260, United States, United States, United States
2. 

Department of Mathematics, University at Buffalo, Buffalo, NY 14260, United States
3. 

University at Buffalo, Department of Geology, Buffalo, NY 14260, United States
4. 

University of Buffalo, Buffalo, NY 14260, United States

Received  March 2003 Revised  July 2003 Published  August 2003

We present a framework for modeling a dry geophysical mass of granular material -- a debris or volcanic avalanche or landslide -- flowing over an erodible surface. We also describe a computing environment that incorporates topographical data into a parallel, adaptive mesh computational algorithm that solves the model equations.
Keywords: numerical approximation of solutions., Geological problems, computational methods.
Mathematics Subject Classification: 86A60, 86-08, 74H1.
Citation: E.B. Pitman, C.C. Nichita, A.K. Patra, A.C. Bauer, M. Bursik, A. Webb. A model of granular flows over an erodible surface. Discrete and Continuous Dynamical Systems - B, 2003, 3 (4) : 589-599. doi: 10.3934/dcdsb.2003.3.589
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