karelmatous's blog

A Multiresolution Adaptive Wavelet Method for Nonlinear Partial Differential Equations

If you are interested in the full lecture on the Multiresolution Adaptive Wavelet Method, I have given The Journal of Computational Physics lecture as the part of the Cassyni project.  

Chemo-thermal model and Gaussian process emulator for combustion synthesis of Ni/Al composites

We present an innovative image-based modeling technique, based on Google Earth like algorithms, to effectively resolve intricate material morphology and address the computational complexity associated with heterogeneous materials. This sharp volumetric billboard algorithm stems from a volumetric billboard method, a multi-resolution modeling strategy in computer graphics. In this work, we enhance volumetric billboards through a sharpening filter to reconstruct the statistical information of heterogeneous systems.

Since the beginning of the industrial age, material performance and design have been in the midst of innovation of many disruptive technologies. Today’s electronics, space, medical, transportation, and other industries are enriched by development, design and deployment of composite, heterogeneous and multifunctional materials. As a result, materials innovation is now considerably outpaced by other aspects from component design to product cycle. In this article, we review predictive nonlinear theories for multiscale modeling of heterogeneous materials.

A new perspective on model reduction for nonlinear multi-scale analysis of heterogeneous materials. In this work, we seek meaningful low-dimensional structures hidden in high-dimensional multi-scale data.

In our recent Extreme Mechanics Letter, we present a simulation consisting of 53.8 Billion finite elements with 28.1 Billion nonlinear equations that is solved on 393,216 computing cores (786,432 threads). The excellent parallel performance of the computational homogenization solver is demonstrated by a strong scaling test from 4,096 to 262,144 cores.

The Computational Physics Group at the Aerospace and Mechanical Engineering Department at the University of Notre Dame is seeking a highly qualified candidate for the post-doctoral associate position in Computational Science and Engineering. The successful candidates will be a key part of a team that is developing and implementing adaptive, multiscale, high-performance (parallel) computational algorithms for numerical solutions of chemo-thermo-mechanical PDE’s with emphasis on complex heterogeneous materials, such as heterogeneous reactive composites, etc. 

For centuries, great minds like Kepler, Maxwell and Einstein have investigated the statistical characterization of many-body systems, and implications of small-scale structures on the macroscopic transport and mechanical properties. In this work, an accurate statistical description of heterogeneous particulate materials is computed using novel adaptive interpolation/integration scheme. This statistical information is then utilized within mathematical theories for predicting the overall thermo-mechanical behavior.

There have been several discussions on "Extreme Mechanics" in recent weeks and I would like to extend this topic to "Extreme Computing". As we develop materials that are more complex, hierarchical and are spanning multiple spatial scales, we will need computational tools that can describe them well. Fluid dynamics community has long time ago embraced large-scale computing of conservation laws of mass, momentum and energy. In mechanics of materials, large-scale computing is still in infancy.

The Computational Physics Group at the Aerospace and Mechanical Engineering Department at the University of Notre Dame is seeking a highly qualified candidate for the post-doctoral research associate position in Computational Mechanics. The successful candidate will develop and implement multiscale computational approaches for modeling of chemo-thermo-mechanical response of heterogeneous materials such as energetic materials and solid propellants.

Qualifications:

The Computational Science and Engineering Program at the University of Illinois at Urbana-Champaign is seeking highly qualified candidates for one post-doctoral research associate position in the Center for Simulation of Advanced Rockets.

The Computational Science and Engineering Program of the University of Illinois at Urbana-Champaign is seeking highly qualified candidates for two research programmer positions. The positions are in the general area of Computational Solid Mechanics. Successful candidates will develop and implement parallel computational tools. Candidates should be able to interact with faculty and students from a wide variety of UI engineering and science departments, and be prepared to work closely with U.S. government and industry researchers.