Mixing, Combustion, and Other Interface Dominated Flows; Paragraphs 3.2.1 A, B, C and 3.2.2 A

摘要

Our progress has focused on advanced numerical algorithms and supporting mathematical theory, with a concentration on higher order geometry in the description of sharp interfaces, stochastic issues in modeling and simulation, and nonlinearities caused by high levels of deformation in the coupling of fluid to solid codes. These general themes are addressed within the context of ARO interests, including parachute drop, brittle fracture, turbulent modeling and turbulent combustion. We developed a new formulation and interpretation of convergence for turbulent combustion simulations with a new rigorous mathematical analysis of turbulent flow. We modeled the parachute drop both in the later unfolding stages and the free fall stage, with good agreement to experiment and benchmark simulations. We obtained a new mesoscale algorithm for the analysis of brittle fracture and derived a new theoretical analysis of the normal force on a stretched elastic surface.