We are concerned with global steady subsonic flows through general infinitely long nozzles for the full Euler equations. The problem is formulated as a boundary value problem in the unbounded domain for a nonlinear elliptic equation of second order in terms of the stream function. It is established that, when the oscillation of the entropy and Bernoulli functions at the upstream is sufficiently...

In this paper, we investigate two dimensional subsonic and subsonic-sonic spiral flows outside a porous body. The existence uniqueness of the flow are obtained via variational formulation, which tends to given radially symmetric at far field. optimal decay rate field is also derived by Kelvin’s transformation some elliptic estimates. By extracting solutions as approximate sequences, obtain limi...

by Mohammed S. Kamel Reliable prediction of optical wavefront distortions induced by compressible turbulent flow surrounding an aperture is crucial to the development of airborne laser systems. Large-eddy simulation (LES) with a wall model provides a promising highfidelity simulation method for high-Reynolds-number aero-optical flows by avoiding the severe near-wall resolution requirement. In t...