AbstractAt present one of the main problems to be solved in heavy ion inertial fusion is the development of an operative design for a target compatible with the beam geometries by a driver. This report presents the research results obtained so far on the target parameters with a cylindrical chamber and converters mounted on the lateral surface of the chamber walls. The cited results were obtained by numerical simulation of X-ray generation in heavy ion flux irradiation, X-ray radiation propagation in the hohlraum volume and gas dynamic processes with 2D and 3D mathematical codes developed at VNIIEF.