Deterministic fluid models are developed to provide simple first-order performance descriptions for multi-server queues with abandonment under heavy loads. Motivated by telephone call centers, the focus is on multi-server queues with a large number of servers and non-exponential service-time and time-to-abandon distributions. The first fluid model serves as an approximation for the G/GI/s + GI ...

The paper presents a numerical method to simulate singleand multi-component fluid flows around moving/deformable solid boundaries, based on the coupling of Immersed Boundary (IB) and Lattice Boltzmann (LB) methods. The fluid domain is simulated with LB method using the single relaxation time BGK model, in which an interparticle potential model is applied for multi-component fluid flows. The IB-...

The assumption that cerebrospinal fluid (CSF) inflow and outflow is an essential element of an intracranial compartment (IC) model has been recently questioned [3]. The idea proposed in [3] that the free displacement of the CSF is one of the significant sources of the brain compliance is supported in this paper by computing an overall system compliance with a novel algorithm. The compliance obt...

We discuss heat conductivity from the point of view of a variational multi-fluid model, treating entropy as a dynamical entity. We demonstrate that a two-fluid model with a massive fluid component and a massless entropy can reproduce a number of key results from extended irreversible thermodynamics. In particular, we show that the entropy entrainment is intimately linked to the thermal relaxati...

The use of robust and accurate Eulerian/Eulerian formulations in the modeling of reactive two-phase flow would be a major step forward in the framework of turbulent combustion modeling with massively parallel supercomputers. Therefore, the ability of the Eulerian multi-fluid model to capture all stages of turbulent spray combustion has been tested and compared with a usual Lagrangian formulatio...

We propose a method for the control of multi-class queueing networks over a finite time horizon. We approximate the multi-class queueing network by a fluid network and formulate a fluid optimization problem which we solve as a separated continuous linear program. The optimal fluid solution partitions the time horizon to intervals in which constant fluid flow rates are maintained. We then use a ...