A mechanical erosion model for two-phase mass flows

A mechanical erosion model for two-phase mass flows

Erosion, entrainment and deposition are complex and dominant, but yet poorly understood, mechanical processes in geophysical mass flows. Here, we propose a novel, process-based, two-phase, erosiondeposition model capable of adequately describing these complex phenomena commonly observed in landslides, avalanches, debris flows and bedload transport. The model is based on the jump in the momentum...

A Mechanical Model for Erosion in Copper Chemical-mechanical Polishing

The Chemical-mechanical polishing (CMP) process is now widely employed in the ultra-large-scale integrated semiconductor fabrication. Due to the continuous decrease in the sub-micron feature size, characterization of erosion has become an important issue in Cu CMP. In this paper, the erosion in Cu CMP is considered at two levels: wafer and die levels. Erosion models are developed based on the m...

A Parallelizable Method for Two - Phase Flows

A two-stage mathematical model for evacuation planning and relief logistics in a response phase

Crises and natural disasters are always existed in human history, and continue to exist in the future; therefore, people are always affected by these natural disasters. Hence, evacuation planning after natural disasters (e.g., earthquakes, floods, tsunamis, fire, storms, warfare and nuclear explosions) is vital. Given that natural disasters cause irreparable financial loss and the loss of life ...

Existence of solutions to a two–dimensional model for nonisothermal two–phase flows of incompressible fluids

We consider a thermodynamically consistent diffuse interface model describing two-phase flows of incompressible fluids in a non-isothermal setting. The model was recently introduced in [12] where existence of weak solutions was proved in three space dimensions. Here, we aim at studying the properties of solutions in the two-dimensional case. In particular, we can show existence of global in tim...