Three-dimensional laminar streamlining of axially symmetric bodies by supersonic gas flow. (Russian, English) Zbl 1140.76319

Zh. Vychisl. Mat. Mat. Fiz. 42, No. 12, 1864-1874 (2002); translation in Comput. Math. Math. Phys. 42, No. 12, 1792-1801 (2002).
Three-dimensional Navier-Stokes equations in curvilinear coordinates are considered with respect to supersonic (Mach number ca. 10) streamlining of a conical body by a perfect gas. Numerical calculations are performed by an integro-interpolation method (finite volume method). The monotone Godunov’s scheme is applied to approximate convective components of the incident flow. The minimal derivative principle is used to improve the approximation.


76D05 Navier-Stokes equations for incompressible viscous fluids
76M12 Finite volume methods applied to problems in fluid mechanics
76J20 Supersonic flows