Concerning the further development of gas turbine engines, advances of the aero-thermodynamic design can be achieved most efficiently by cooperative efforts aimed at the improvement of both the numerical simulation methods and the experimental test and measurement techniques. Rapid development of numerical capability is accompanied by increasing demands on experimental data. In this context sig...

present paper investigates the numerical solution of two-dimensional unsteady compressible navier-stokes equations by a new scheme based on the finite volume method. kinetic energy preserving (kep) scheme is introduced for solving the supersonic and transonic external compressible flow field on very fine grids (with a number of cells of the order of the reynolds number) without artificial dissi...

In this work we consider the linear stability of a sub-to-super inviscid transonic stationary wave of a one-dimensional model of isentropic compressible flows through a nozzle of varying area. This sub-to-super inviscid transonic stationary wave is newly founded by the authors using the geometric singular perturbation theory. The main result of this work is to show that the sub-to-super invisci...

My lecture is devoted to the analytical results available for a large class of axisymmetric stationary flows in the vicinity of compact astrophysical objects. First, the most general case is formulated corresponding to the axisymmetric stationary MHD flow in the Kerr metric. Then, I discuss the hydrodynamical version of the Grad-Shafranov equation. Although not so well-known as the full MHD one...

The effects of using both directions and directional subdividing on adaptive gridembedding on the computational time and the number of grid points required for the same accuracy are considered. Directional subdividing is used from the beginning of the adaptation procedure without any restriction. To avoid the complication of unstructured grid, the semi-structured grid was used. It is used to so...