Abstract
In this chapter, we present an application of the variational data assimilation method to the problem for determination of thermal and dynamic characteristics of lava flow from thermal measurements at lava’s upper surface. Assuming that the temperature and the heat flow are known at the lava’s upper surface, the missing condition at the lower surface of the lava is determined at first, and then the flow characteristics (temperature and flow velocity) are resolved in the entire model domain.
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