The modeling of complex continua: Fundamental obstacles and grand challenges. Annual progress report
USDOE, Washington, DC (United States) · 1993
The research is divided into: discontinuities and adaptive computation, chaotic flows, dispersion of flow in porous media, and nonlinear waves and nonlinear materials. The research program has emphasized innovative computation and theory. The approach depends on abstracting mathematical concepts and computational methods from individual applications to a wide range of problems involving complex continua. The generic difficulties in the modeling of continua that guide this abstraction are multiple length and time scales, microstructures (bubbles, droplets, vortices, crystal defects), and chaotic or random phenomena described by a statistical formulation.