Progress Report for Contract N00014-93-1-0015 (University of Wisconsin)
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The author has worked on two aspects of multi-dimensional shock capturing. The first project has been a multifaceted effort to understand dynamic liquid-vapor interface propagation from a kinetic point of view. Slemrod has modeled the phenomenon via a Boltzmann like cluster dynamics model. Clusters represent groupings of molecules of various cluster sizes which can collide elastically and inelastically. The inelastic collisions can produce coagulation of clusters or fragmentation of a cluster. A fluid made of only small cluster sizes would represent a dilute vapor while one containing very large cluster sizes would be a metastable supersaturated vapor. The model via various scaling limits gives sets of model equations describing vapor flow iii various transition regimes. Furthermore, with his co-authors Slemrod has performed numerical experiments modeling vapor to saturated vapor phase change encountered when a dilute vapor encounters a rigid wall.
- Fluid Mechanics