A class of solutions to the Ernst equation (the stationary axisymmetric Einstein equations in vacuum) is discussed which is constructed via Riemann–Hilbert techniques on hyperelliptic Riemann surfaces. We identify a physically interesting subclass where the Ernst potential is everywhere regular except at a closed surface which might be identified with the surface of a body of revolution. The co...

noses by using the equivalent axisymmetric body (EAB) theory. This Code has been developed by researchers and the results of it have been validated by the various flight tests results. In the case of non-zero angle of attack or asymmetric surface ablation for each meriodinal plane, the equivalent meriodinal plane (EMP) is created for any meriodinal plane. The combinations of these planes consti...

Flows around an axisymmetric body of revolution at a zero yaw angle were studied using hybrid Reynolds-averaged Navier–Stokes (RANS)/large eddy simulation (LES) approach, which employed full Reynolds stress model (RSM) in the RANS branch with aim accounting for anisotropy, streamline curvature, and flow separations boundary layer. The SUBOFF without appendages was applied to conduct simulations...

Abstract—Hypersonic flows around spatial vehicles during their reentry phase in planetary atmospheres are characterized by intense aerothermodynamics phenomena. The aim of this work is to analyze high temperature flows around an axisymmetric blunt body taking into account chemical and vibrational non-equilibrium for air mixture species and the no slip condition at the wall. For this purpose, th...