This paper presents a methodology that combines data assimilation and physical modelling of flame spread for fire growth forecast. The concurrent spreading over flat solid sample in the absence buoyant flows is considered as simple canonical configuration. To predict rate length evolution, analytical solution to two-dimensional boundary layer non-premixed combustion problem combined with CFD mo...

We apply topological data analysis, specifically the Mapper algorithm, to U.S. COVID-19 data. The resulting graphs provide visualizations of pandemic that are more complete than those supplied by other, standard methods. They encode a variety geometric features cloud created from geographic information, time progression, and number cases. reflect development across all capture growth rates as w...