This Letter investigates the compressible energy transfer process. We extend a methodology developed originally for incompressible turbulence and use databases from numerical simulations of a weak compressible turbulence based on Eddy-DampedQuasi-Normal-Markovian (EDQNM) closure. In order to analyze the compressible mode directly, the well known Helmholtz decomposition is used. While the compre...

Direct numerical simulation data bases for compressible homogeneous shear ow are used to evaluate the performance of recently proposed Reynolds stress closures for compressible turbulence. Three independent pressure-strain models are considered along with a variety of explicit compressible corrections that account for dilatational dissipation and pressure-dilatation e ects. The ability of the m...

The stability of compressible plane Couette flow, which is a simple case of hypersonic wall-bounded shear flows, is not well understood even though incompressible Couette flow has been studied extensively by linear stability analysis and shown to be stable to linear disturbances. As a first step in studying the stability of three-dimensional hypersonic boundary layers, this paper studies the te...

In this thesis, we explore various models for the flow of a compressible fluid as well as model equations for shock formation, one of the main features of compressible fluid flows. We begin by reviewing the variational structure of compressible fluid mechanics. We derive the barotropic compressible Euler equations from a variational principle in the material frame. The particle relabeling symme...

In this paper we show how the simplest wave structure that balances compression and rarefaction in the nonlinear compressible Euler equations can be represented in a solution of the linearized compressible Euler equations. Such waves are exact solutions of the equations obtained by linearizing the compressible Euler equations about the periodic extension of two constant states separated by entr...

We investigate the type I modes of instability within the compressible boundary-layer flow over a rotating cone, defined by general half angle ψ. The work extends previous studies into the compressible rotatingdisk flow (ψ = 90o) and incompressible rotating-cone flows. Generalised compressible von Kármán equations are established and solved numerically to give the laminar-flow profiles. We then...

The objective in this paper is to present some developments for the analysis of Navier–Stokes incompressible and compressible fluid flows with structural interactions. The incompressible fluid is discretized with a new solution approach, a flow-condition-based interpolation finite element scheme. The high-speed compressible fluids are solved using standard finite volume methods. The fluids are ...

Primeness on modules can be defined by prime elements in a suitable partially ordered groupoid. Using a product on the lattice of submodules L(M) of a module M defined in [3] we revise the concept of prime modules in this sense. Those modules M for which L(M) has no nilpotent elements have been studied by Jirasko and they coincide with Zelmanowitz’ “weakly compressible” modules. In particular w...