DTIC Information for AFOSR Task 2304CP Lattice-Gas Theory and Computation for Complex Fluid Dynamics

Aid the Air Force modeling community by developing a “mid-level” approach to simulating the behavior of complex fluids, such as viscous incompressible fluids, hydrothermal fluids, inviscid fluids, multiphase fluids, and superfluids. Traditional approaches to complex fluid simulation include “low-level” molecular dynamics or “high-level” partial differential equation approximation schemes. MD suffers from insufficient spatial and temporal scales. The PDE schemes suffer from numerical instabilities and coarseness in the physical description. Lattice gases are a “mid-level” approach that achieves greater scales than MD while possessing unconditional stability due to its underlying physics-like microscopic dynamics while capturing in the macroscopic limit all relevant physics. A principle objective is to develop a general lattice theory and test its soundness and efficiency on novel fine-grained parallel computers architected along the lattice gas paradigm. Focused research objectives include: complex computation fluid dynamics, i.e. rheology of drops; multiphase/multicomponent fluids; discretized molecular dynamics of materials with complex transitions and structures; parallel fine-grained quantum computing; lattice-gas machines as a test-bed for ultra-finegrained computations.