Abstract
An Adaptive Mesh in Phase Space (AMPS) methodology has been developed for solving multi-dimensional kinetic equations by the discrete velocity method. A Cartesian mesh is generated in both configuration and velocity spaces by using a forest of trees data structure. A tree-based mesh in configuration space produced around embedded boundaries dynamically adapts to local solution properties. A quad/octree mesh in velocity space is created on-the-fly for each leaf cell in configuration space (a tree-in-a-leaf technique). The benefits of the AMPS technique are demonstrated for 2D2V simulations of hypersonic flows. Comparison with a DSMC is carried out, and good agreement is found.
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