Our understanding of multiphase physics and the associated predictive capability for multiphase systems are severely limited by current continuum modeling methods and experimental approaches. This research will deliver an unprecedented modeling capability to directly simulate three-dimensional multiphase systems at the particle-scale. The model solves the fully coupled equations of motion gover...

"Cascade" or "continuum" models have been developed for a number of diseases and conditions. These models define the desired, successive steps in care for that disease or condition and depict the proportion of the population that has completed each step. These models may be used to compare care across subgroups or populations and to identify and evaluate interventions intended to improve outcom...

In modeling transport within naturally heterogeneous aquifers, it is usually assumed that the transport equations valid at local scales can also be applied at larger scales. At larger scales, the heterogeneous domain is represented by an equivalent homogeneous medium. Convergent-flow tracer tests constitute one of the most frequently used field tests to estimate effective input parameters of eq...

Adaptive Mesh and Algorithm Reenement (AMAR) embeds a particle method within a continuum method at the nest level of an adaptive mesh reenement (AMR) hierarchy. The coupling between the particle region and the overlaying continuum grid is algorithmically equivalent to that between the ne and coarse levels of AMR. Direct simulation Monte Carlo (DSMC) is used as the particle algorithm embeded wit...