An approximate solution of the Riemann problem associated with a realisable and objective turbulent second-moment closure, which is valid for compressible flows, is examined. The main features of the continuous model are first recalled. An entropy inequality is exhibited, and the structure of waves associated with the non-conservative hyperbolic convective system is briefly described. Using a l...

In this work, two extensiosn of our previous work are proposed for the simulation of full-Mach-range cavitating flow with sharp interface model. These extensions are: a new interface-interaction solver, which includes a new HLLC Riemann solver suitable for both strong and weak interface interaction with general EOS, and a simple phase-change model which assumes that the phase change is in therm...

We present a theoretical solution for the Riemann problem for the five-equation two-phase non-conservative model of Saurel and Abgrall. This solution is then utilized in the construction of upwind non-conservative methods to solve the general initial-boundary value problem for the two-phase flow model in non-conservative form. The basic upwind scheme constructed is the non-conservative analogue...

In this paper, we present recent results in integral inequality theory. Our results are based on thefractional integration in the sense of Riemann-Liouville

Shock wave theory was studied in literature by many authors. This article presents a survey with references about various topics related to shock waves: Hyperbolic conservation laws, Well-posedness theory, Compactness theory, Shock and reaction-di¤usion wave, The CJ and ZND theory, Existence of detonation in Majda’s model, Premixed laminar ‡ame, Multidimensional gas ‡ows, Multidimensional Riema...