Flux Matching Scheme for the Computation of Accurate Boundary Conditions on a Moving Meshes

The research presented is the first in a series of steps toward producing a working model of a 3D moving mesh which aims to simulate constant and variable surface recessions for 3D geometries in ablative materials under Cartesian coordinates. The graduation from simple node movement vectors to uniform, constant, recession rates via Landau coordinate transformations are validated by comparison of temperature profiles for each case against theoretical and literature values. Further, an implementation scheme for 3D recession is proposed that is consistent with the geometric conservation law and will allow for dynamic analysis of experimental data from the Space Shuttle Reusable Solid Rocket Motor as well as validation against other numeric material response codes.