Soft Matter and Complex Systems Seminar
sala 1.40, ul. Pasteura 5
2022-10-21 (09:30) 
Piotr Morawiecki (Department of Mathematical Sciences, University of Bath)
A mathematical framework for the unification of rainfall-runoff models
One of the key problems in flood estimation is to predict the flow in the river after an intensive rainfall. Many physical and data-based models were constructed to address this problem; however, they are often based on completely different assumptions and their limits of applicability remain unknown.
During the talk, I am going to give an overview of my PhD project on systematically developing a rigorous mathematical framework to better understand the relations between currently used models. I start by constructing a simple benchmark scenario for coupled surface-subsurface flows. Then I use it to better understand the physical process of river flow formation and compare the obtained result to the statistical flood estimation model recommended for use in the UK.
In this way, I demonstrate the potential of this mathematical framework as a tool for assessing models' assumptions and limitations, which is not provided by standard numerical testing performed by hydrologists.
During the talk, I am going to give an overview of my PhD project on systematically developing a rigorous mathematical framework to better understand the relations between currently used models. I start by constructing a simple benchmark scenario for coupled surface-subsurface flows. Then I use it to better understand the physical process of river flow formation and compare the obtained result to the statistical flood estimation model recommended for use in the UK.
In this way, I demonstrate the potential of this mathematical framework as a tool for assessing models' assumptions and limitations, which is not provided by standard numerical testing performed by hydrologists.