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Phone: (407) 823-6284;   Fax: (407) 823-6253;   MAP  207 2004-2005 MATHEMATICS COLLOQUIUM SERIES 12/03/04 Colloquium Dr. JUNPING WANG DEPARTMENT OF MATHEMATICAL AND COMPUTER SCIENCES COLORADO SCHOOL OF MINES GOLDEN, CO On the Simulation of Coupled Surface and Subsurface Fluid Flows Abstract:   Simulation of surface and subsurface flow has significant impact on the economic and urban development of the society. An ideal model for the simulation is expected to handle fluid bodies and simulating regions of arbitrary shape with various structures. The modeling system usually combines an overland flow model, a channel flow model, an infiltration model, a sewer flow model (in urban areas), and a model linking surface flow and sewer flow. Most of the existing computational models are based on approximate or greatly simplified forms of the Saint Venant equations and the subsurface flow equation obtained from the Darcy's law. Our study offers a systematic understanding of the coupling between the surface and subsurface flows. This talk will introduce the modeling equations and their numerical approximations associated with the coupled system of surface and subsurface flows. Emphasis will be made on the coupling of the two different systems.