DTIC Information for AFOSR Task 2304 CPLattice - Gas Theory and Computation for

1 Objective Aid the Air Force modeling community by developing a \mid-level" approach to simulating the behavior of complex uids, such as viscous incompressible uids, hydrothermal uids, inviscid uids, multiphase uids, and superruids. Traditional approaches to complex uid simulation include \low-level" molecular dynamics or \high-level" partial diierential equation approximation schemes. MD suuers from insuucient spatial and temporal scales. The PDE schemes suuer 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 eeciency on novel ne-grained parallel computers architected along the lattice gas paradigm. Focused research objectives include: complex computation uid dynamics, i.e. rheology of drops; multiphase/multicomponent uids; discretized molecular dynamics of materials with complex transitions and structures; parallel ne-grained quantum computing; lattice-gas machines as a test-bed for ultra-ne-grained computations. 2 Approach An early lattice-gas model studied transport coeecients near the critical point 1] by a simple extension of the Ising model with spins given a quantum of momentum. This model man