Transonic shocks for 3-D axisymmetric compressible inviscid flows in cylinders

A Remark on Determination of Transonic Shocks in Divergent Nozzles for Steady Compressible Euler Flows

In this paper we construct a class of transonic shock in a divergent nozzle which is a part of an angular sector (for two-dimensional case) or a cone (for three-dimensional case) which does not contain the vertex. The state of the compressible flow depends only on the distance from the vertex of the angular sector or the cone. It is supersonic at the entrance, while for appropriately given larg...

Transonic Shocks in 3-d Compressible Flow Passing a Duct with a General Section for Euler Systems

This paper is devoted to the study of a transonic shock in threedimensional steady compressible flow passing a duct with a general section. The flow is described by the steady full Euler system, which is purely hyperbolic in the supersonic region and is of elliptic-hyperbolic type in the subsonic region. The upstream flow at the entrance of the duct is a uniform supersonic one adding a three-di...

High-speed Compressible Flows about Axisymmetric Bodies

The approximate method for the account of compressibility, which was successfully applied earlier for 2-D problems, is developed for axisymmetric case in the present work. The offered method is analyzed with reference to two mediums: air and water. Comparison of the results of calculations on an offered method and a method of Dorodnitsyn integrate relations has shown acceptable accuracy of the ...

Application of viscous-inviscid interaction methods to transonic turbulent flows

A ghost-cell immersed boundary method for inviscid compressible flows

An immersed boundary method (IBM) is presented, that can be applied to inviscid compressible flows, described by the full-potential or Euler equations, to start with. Possible applications that we envisage are preliminary aircraft design and rotor-flow computations. Although Navier-Stokes methods have improved significantly in the last three decades, and although computations with the latter eq...