Bashkin, V. A.; Egorov, I. V.; Ivanov, D. V.; Pafnut’ev, V. V. 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. Reviewer: Andrei Zemskov (Moskva) MSC: 76D05 Navier-Stokes equations for incompressible viscous fluids 76M12 Finite volume methods applied to problems in fluid mechanics 76J20 Supersonic flows Keywords:Navier-Stokes equations; Riemann problem; numerical calculations; finite volume method; Godunov’s scheme PDF BibTeX XML Cite \textit{V. A. Bashkin} et al., Zh. Vychisl. Mat. Mat. Fiz. 42, No. 12, 1864--1874 (2002; Zbl 1140.76319); translation in Comput. Math. Math. Phys. 42, No. 12, 1792--1801 (2002) OpenURL