Reduced order computational continua

Reduced Order Computational Continua

INTRODUCTION The paper presents a new multiscale framework that is both mathematically rigorous and practical in the sense that it has been successfully applied in aerospace, automotive and civil engineering industries. The “rigor” aspect of the method is provided by recently developed computational continua (C) formulation (Fish and Kuznetsov, 2009), which is endowed with fine-scale details, i...

Computational Methods for Reduced Order Modeling

This paper deals with computer aided generation of reduced-order models for fast static and dynamic simulations of micro electromechanical systems. Following previous work, we present improved methods to reduce the computational effort of parameter extraction techniques, to consider multiple electrodes and the extension of analysing capabilities. A micromirror example will be used to demonstrat...

Computational design of patterned interfaces using reduced order models

Patterning is a familiar approach for imparting novel functionalities to free surfaces. We extend the patterning paradigm to interfaces between crystalline solids. Many interfaces have non-uniform internal structures comprised of misfit dislocations, which in turn govern interface properties. We develop and validate a computational strategy for designing interfaces with controlled misfit disloc...

Identification of Computational and Experimental Reduced-Order Models

Reduced-order computational model for low-frequency dynamics of automobiles

A reduced-order model is constructed to predict, for the lowfrequency range, the dynamical responses in the stiff parts of an automobile constituted of stiff and flexible parts. The vehicle has then many elastic modes in this range due to the presence of many flexible parts and equipments. A non-usual reduced-order model is introduced. The family of the elastic modes is not used and is replaced...