Unstructured Cartesian-Grid Methodology for Non-equilibrium Hypersonic Flows

A solution adaptive unstructured Cartesian grid approach is developed to solve thermochemical non-equilibrium hypersonic ∞ows with a two temperature model. This grid technique ofiers the convenience of automatic grid generation over 3D complex shaped hypersonic vehicles with the minimum user intervention while providing accurate higher order ∞ux calculations over other unstructured grid topologies. In order to avoid stifiness problems in the explicit chemical solver, a point implicit method is adopted to calculate the chemical reaction source terms. The AUSMPW+ scheme with MUSCL data reconstruction is adopted as a numerical scheme to avoid non-physical oscillations and the carbuncle phenomenon.

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