A large-scale power grid's ability to transfer energy from producers to consumers is constrained by both the network structure and the nonlinear physics of power flow. Violations of these constraints have been observed to result in voltage collapse blackouts, where nodal voltages slowly decline before precipitously falling. However, methods to test for voltage collapse are dominantly simulation...

This paper presents a methodology to assess the extent of damage to a multi-storey structure due to localised collapse. This is accomplished through the design of an algorithm, to track progressive collapse in a structure, and its implementation as a computer program. This program is based on the alternative path method of analysis, and involves systematically removing individual elements from ...

We explore the structure and dynamics of dipolar Bose-Einstein condensates DBECs near their threshold for instability. Near this threshold a DBEC may exhibit nontrivial biconcave density distributions, which are associated with instability against collapse into “angular roton” modes. Here we discuss experimental signatures of these features. In the first, we infer local collapse of the DBEC fro...

We investigate the internal structure of a polymer during collapse from an expanded coil to a compact globule. Collapse is more probable in local regions of high curvature, so a smoothing of the fractal polymer structure occurs that proceeds systematically from the shortest to the longest length scales. A proposed universal scaling relationship is tested by comparison with Monte Carlo simulatio...

In this paper we introduce a coarsening algorithm for quadrilateral meshes that generates quality, quad-only connectivity during level-of-coarsening creation. A novel aspect of this work is development and implementation of a localized adaptation of the polychord collapse operator to better control and preserve important surface components. We describe a novel weighting scheme for automatic del...

This paper discusses the forensic investigation of a fatality-involved catastrophic structure collapse and the special challenges faced when tasked with directing such an effort. While this paper discusses the investigation’s findings and the outcome of the event; this paper’s primary focus is on the challenges faced directing a forensic investigation that requires coordinating with governmenta...