College of Science & Engineering
Research by this group is an effort towards the development of a wide variety of computational advances by design. It encompasses unified computational methodologies, domain decomposition with each subdomain permitting to have different numerical methods, and different time integration algorithms to provide flexibility and robustness. Reduced order modeling is also addressed in conjunction with solution algorithms and finite element and particle based methods such as SPH, MPS, DEM, Peridynamics, and the like for modeling/analysis strategies for rigid-flexible multibody dynamics, contact-impact-penetration, electromagnetics, multi-disciplinary flow-thermal-structural problems and micro/nano-scale effects in heat conduction for both continuum and granular material media that are heterogeneous. The philosophy and rationale advocated in this work for interdisciplinary problems is based on employing a common numerical methodology for each of the individual disciplines in conjunction with common computational algorithms for applicability to supercomputing systems in solving large-scale engineering problems. The simulations are conducted via integrating a variety of space and time integration algorithms in each subdomain of the overall domain.
Research activities include:
- Development of new time integration computational algorithms for transient/dynamic/contact/ impact/damage/penetration problems
- Development of effective finite element and particle based methodologies, which can be used in multi-disciplinary problems
- New physically correct contact models for penetration and impact problems
- Application of finite element methods in the manufacturing simulations to provide a paradigm for Virtual Manufacturing and the simulation of Virtual Experiment and Virtual Testing.
The application areas include a wide range of engineering problems involving multi-physics and space/time domain decomposition with interface to graph partitioning techniques. The overall efforts focus attention on providing new and effective approaches for not only improving the existing capabilities for applicability to supercomputing environments, but also towards providing an accurate understanding of the physics and mechanics relevant to multi-disciplinary engineering problems. In summary, a single analysis includes different space methods and time integrators and adaptive space-time procedures for simulations of various problems.