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Multi-scale methods development in CCIM is concerned with the underlying physics and mathematical theories, along with their numerical implementation for simulation of complex, multiscale and multiphysics scientific and engineering systems. The development and application of these theories, with the required algorithms and solution methods, are used for bridging across disparate length and time scales in large scale numerical modeling and simulation of complex physical systems. Work in this area seeks to enable scalable, high-fidelity simulations of real world material and physical systems through development and implementation of multi-scale algorithms for coupled nonlinear, mutiple time scale PDE systems, subgrid-scale modeling, and methods for coupling non-continuum simulations or coupling non-continuum and continuum simulations. Example algorithmic approaches include: mathematical homogenization; variational multi-scale methods; multi-grid type methods; operator splitting approaches; hierarchical constitutive equations; multi-region simulation methods; coarse-graining of discrete systems; finite size scaling; and linear scaling. Areas of Research:
Program Contact: John B. Aidun and John N. Shadid
Maintained by: Bernadette M. Watts |
