Multi-scale modeling strategies in materials science—The quasicontinuum method

Multi-scale modeling strategies in materials science—The quasicontinuum method

The problem of prediction of finite temperature properties of materials poses great computational challenges. The computational treatment of the multitude of length and time scales involved in determining macroscopic properties has been attempted by several workers with varying degrees of success. This paper will review the recently developed quasicontinuum method which is an attempt to bridge ...

Multi-Scale Modeling in Materials Science and Engineering

Multi-scale materials modeling combines existing and emerging methods from diverse scientific disciplines to bridge the wide range of time and length scales that are inherent in a number of essential phenomena and processes in materials science and engineering. In this contribution we demonstrate how novel developments have changed the field in recent years from a descriptive to a predictive ap...

An Adaptive Multi - Scale Computational Method for Modeling

In this dissertation a coupled multi-scale computational model for simulating nonlinear deformation processes in crystalline metals at finite temperatures is developed. The computational model uses the finite element method to model the coarse scale response of the material. The constitutive response in the finite element will be modeled through interatomic potentials acting on the underlying h...

Modeling complex wells with the multi-scale finite-volume method

Multi-scale geophysical modeling using the spectral element method

Climate modeling encompasses an enormous range of spatial and temporal scales. One of its great remaining challenges is bridging the scale gaps between global climate processes, basinscale and regional impacts, and smaller-scale ecosystem dynamics. Improving and accessing enhanced computational resources will help bridge this gap. Nonetheless, enhanced computer power alone is insufficient witho...