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We consider the isentropic compressible Euler system in 2 space dimensions with pressure law p () = (2) and we show the existence of classical Riemann data, i.e. pure jump discontinuities across a line, for which there are infinitely many admissible bounde ...
Dynamic non-contacting seals have been identified as the most appropriate sealing technology for reduced-scale and high-speed turbomachinery applications since they provide a clearance gap preventing rotor-to-seal contact during operation. Yet, any clearan ...
Clean and energy-efficient turbomachinery are playing an increasingly important role in the decarbonization of heating systems, waste heat recovery and transportation, as the use of small-scale heat pumping and fuel cells spreads. Such machines typically e ...
In this paper we extend and complement the results in [4] on the well-posedness issue for weak solutions of the compressible isentropic Euler system in 2 space dimensions with pressure law p(ρ)=ρ\gamme,≥1. First we show that every Riemann p ...
Procedures for synthesizing and meshing digital polycrystalline microstructures are demonstrated. The meshing operation relies on a metric field, yielding a nonuniform mesh size and a nonuniform mesh aspect ratio. Isotropic meshing is done in the grains in ...
Procedures for synthesizing digital polycrystalline microstructures are illustrated, from either 2D statistical data or 3D deterministic data. Finite element meshes representing the digital microstructures are generated using anisotropic and adaptive mesh ...
Mathematical and numerical aspects of free surface flows are investigated. On one hand, the mathematical analysis of some free surface flows is considered. A model problem in one space dimension is first investigated. The Burgers equation with diffusion ha ...
In this thesis, an original law of adhesion is developed and then coupled to the classical law of unilateral contact with threshold friction, in order to study the phenomenon of fibre/matrix debonding in composite materials. This tribological law is develo ...
A numerical model for the three-dimensional simulation of liquid-gas flows with free surfaces is presented. The incompressible Navier-Stokes equations are assumed to hold in the liquid domain. In the gas domain, the velocity is disregarded, the pressure is ...
The development and application of methods quantifying the metabolic fluxes such as Flux Balance Analysis (FBA) has been one of the driving forces behind the successful growth of metabolic engineering. However, applications of FBA have been limited by the ...
