Abstract: Vortex structure on the slender bodies at supsonic flow is investigated by numer-ical method.The Navier-Stokes equations and TVD scheme are applied for the numerical simulation.The results present some characteristics of flow over the slender cone,hemi-spheric cylinder and elliptic cone and show that within the range of angle 1 5° 25°,the asymmetric vortices are formed on the leeside of slender cone and no asymmetric vortices are found for the hemisphere cylinder or elliptic cone at angle of attack of 32.5...