A mathematical model of sonic and supersonic flows, validated previously for the prediction of free jets and jets which impinge a flat surface orthogonally, is used to simulate the near field structure of supersonic flows which impact a number of cones. Representation of the impacted surfaces, which are misaligned with the finite-volume grid employed, is by means of a body capturing technique based on the use of hierarchical, adaptive Cartesian grids. The accuracy of the model and the body capturing approach is assessed by comparing predictions with experimental data on impinging supersonic flows available in the literature. For the axisymmetric situations considered, results derived from the model are found to be inclose agreement with data on the location of both Gee and attached shocks formed in the vicinity of the impacted objects, with the model also providing good estimates of pressures occurring on the surface of the cones. (C) 1998 BG pie. Published by Elsevier Science Inc. All rights reserved.