Time: Monday, June 5, 2:00 pm
Title: Fluvial Landscapes: The Next Generation
Location: South Hall 6635
The Smith and Bretherton model is a family of partial differential equations that model the transport-limited case of erosion. With the use of appropriate numerical schemes, simulations of these equations contain large and small scale dynamics crucial to the validity of the model. Even with modern processing power and parallelism, these simulations take a significantly long time to run. In this talk I will discuss these necessary scaling dynamics, the numerical schemes used to simulate these equations, some minor changes that were made to the numerics to accelerate computations, methods to "artificially" generate these eroded surfaces, and how these artificial surfaces altered our understanding of the small scale dynamics.