Research|
Multiscale
Modeling

PROJECTS |
SPONSORS |
INVESTIGATORS |
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ACOR

The
objective of multiscale modeling is to predict the response of complex systems at
all relevant spatial and temporal scales at a cost that is sub-linear with respect
to the full micro-scale solver. We are currently developing a class of multiscale
methods known as global-local or
computational homogenization techniques with
applications to various areas:

> Computational
Mechanics of Molecular Crystals

> Computational
Radiation Material Science

> Multiscale
modeling of composites

Recent projects

The Self-consistent
Multiscale Method (SMM) is
a novel modeling paradigm that ensures self-consistency of the macro- and micro-scale
coupling within the framework of matrix-free global-local multiscale model. The
matrix-free approach naturally lends to very efficient parallelization, as the
macroscopic computation is fully decoupled from one element to the other.

The explicit
global-local multiscale model usages the global-local approach at the spatial scale while taking advantage of
the explicit computation at the temporal scale. The explicit time integration
algorithms lend themselves to efficient parallelization resulting an efficient
computation of very large and highly nonlinear problems. Hence, instead of
perceiving multiscale modeling and parallelization as two separate processes,
we are interested in developing an integrated parallel multiscale method that
is designed to take advantage of the specific architecture of these explicit
time integration algorithms on massively parallel machines.

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Sponsors

> Office of Naval Research (ONR)

> Defense Threat Reduction Agency (DTRA)

> Army Research Office (ARO)

Investigators

Suvranu De, DSc.

Rahul, MS

Amir Zamiri, PhD

Ranajay Ghosh, PhD

Shree Krishna, PhD

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Journal articles

Rahul, De S. A preconditioned Newton-Krylov (GMRES) solver for the Jacobian-free
computation of global-local multiscale methods *In preparation*.

Rahul, De S. An efficient coarse-grained parallel algorithm for global-local multiscale
computations on massively parallel systems, *Accepted*.

Macri M, De S. An octree partition of unity method (OCTPUM) with enrichments for
multiscale modeling of heterogeneous media, *Computers and Structures* 2008;
86: 780-795.

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Conference articles

Rahul, De S. Efficient implementation of hierarchical
multiscale methods on massively parallel systems, *10th US National Congress on
Computational mechanics (USNCCM X),* 2009

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