Simulations of lava flows at Mt Etna using paradigms of parallel computing

The behavior of lava °ows is one of the complex natural phenomena that is di±cult to be dealt with using traditional methods based on di®erential equation systems. Novel paradigms of parallel computing for nonlinear modelling and simulation of lava °ow are introduced. We have taken advantage of the potentialities of the Cellular Nonlinear Networks (CNNs), and two di®erent approaches have been implemented in simulating some lava °ows. Firstly, a typical technique of the CNNs to analyze spatio- temporal phenomena (as Autowaves) in 2-D and in 3-D has been utilized. Secondly, the CNNs have been used as solvers of partial di®erential equations of Navier-Stokes in the case of Newtonian °uids.