Title: Numerical methods for multidimensional granular flows


			 Pierre A. Gremaud
		     Department of Mathematics
		  North Carolina State University
		   Raleigh, North Carolina 27695
		  e-mail: gremaud@unity.ncsu.edu
	     web page: http://www4.ncsu.edu/~gremaud


Abstract:
Recent advances in the computation of multidimensional granular flows 
will be described.  The high degree of symmetry usually assumed in 
standard studies precludes the analysis of  important effects such as 
silo buckling. The present model is solved under minimal assumptions on 
the geometry. It consists of a system of nine nonlinear first order PDEs 
together with a quadratic constraint (yield condition). The system of 
equations, which is roughly elliptic, is discretized by a pseudospectral 
method and solved by an appropriate nonlinear method.

Numerical issues will be discussed and various computational results of 
industrial relevance will be presented. Joint work  with M. O'Malley 
(NCSU) and J.V. Matthews (Duke University).