Models of Lava Flow Through the CNN-Based E^3 Architecture

Many works investigated the phenomenon of lava flow through numerical models, obtaining excellent results, although most of the models require several approximations. Each model, in fact, has its restrictions: for instance, some of them work only on inclined planes, while others do not consider cooling processes associated to lava flow and so on. Simplifications are often needed to afford the computational effort required by the problem. Although the increasing computational capability of computers, due to technological progress, can be very useful to quickly resolve differential equations, which are essential to study lava flows, it is still important to take into account alternative solutions to the problem. One of these solutions is the use of parallel analog processors, namely cellular nonlinear networks (CNNs). In particular, the approach used in this work is based on the E^3 architecture (Caponetto et al., 2004) used for the first time to study lava flows. Two different models are proposed.