Reduction problems in multi-scale systems dynamics

Multi-scale Dynamics of High Energy Throughput Systems

The present paper analyzes the energy dynamics of process networks and/or staged processes whereby the material recycle streams interconnecting the units/stages take on the additional role of energy carriers. In the presence of large energy input and output flows, the networks considered are shown to exhibit a dynamic behavior with multiple time scales, with the variables in the energy balance ...

Large - Scale Eigenvalue Problems in Structural Dynamics

A Multi Objective Optimization Model for Redundancy Allocation Problems in Series-Parallel Systems with Repairable Components

The main goal in this paper is to propose an optimization model for determining the structure of a series-parallel system. Regarding the previous studies in series-parallel systems, the main contribution of this study is to expand the redundancy allocation parallel to systems that have repairable components. The considered optimization model has two objectives: maximizing the system mean time t...

Heterogeneous Domain Decomposition for Multi - Scale Problems ∗

The objective of this work is to develop numerical tools useful for the understanding of fundamental phenomena in Blood Flow, including some biochemistry and cellular dynamics. An open problem that may benefit from multi-scale numerical tools is for example the understanding of the relation ship between inflammation and cholesterol plaque. The corresponding topics we address in this paper are (...

Bridging multi-scale method for localization problems

A bridging multi-scale method is proposed for the analysis of a class of localization problems in which the micropolar-continuum model is used to describe the localized deformation and the dynamic failure occurs only in a small number of localized regions. It starts with a concurrent discretization of the entire domain with both coarseand finescale finite-element meshes. The coarse-scale mesh i...