Mathematical modeling; High performance computing
As part of an interdisciplinary project with colleagues in engineering, geology and geography, Professor Pitman has developed mathematical models describing pyroclastic flows, debris flows, and granular avalanches – common geophysical mass flows. These models have been integrated into TITAN2D, a computing environment that solves the model equations over terrain. Pitman and his colleagues are developing new computational methods that can be used to simulate mass flows. He is developing tools to understand how uncertainty in model equations – uncertainty in parameters, in data, and in the models themselves – must be accounted for in assessing hazard risks.