Computational design of patterned interfaces using reduced order models

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...

Design Optimization Using Hyper-Reduced Order Models

1. Abstract Partial Differential Equation (PDE)-constrained optimization requires the solution of large-scale systems of equations at each iteration of the design process. The size of such systems scales with the dimension of the discretized model associated with the PDE and incurs large CPU costs and memory requirements. In the present work, projection-based reduced-order models (ROMs) [1] are...

Identification of Computational and Experimental Reduced-Order Models

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...

Parametric Reduced-Order Models

We address the problem of propagating input uncertainties through a computational fluid dynamics model. Methods such as Monte Carlo simulation can require many thousands (or more) of computational fluid dynamics solves, rendering them prohibitively expensive for practical applications. This expense can be overcome with reduced-order models that preserve the essential flow dynamics. The specific...