|Adaptive probabilistic meshless methods for evolutionary systems
||This project will develop and implement a new class of numerical solvers for evolving systems such as interacting fluid-structure flows. To cope with extreme strain rates and large deformations these new solvers will be adaptive and meshless, and they will also implicitly represent their own solution uncertainty, thus enabling optimal design and uncertainty quantification. This exciting project brings together aspects of continuum mechanics, numerical methods for partial differential equations, and statistical machine learning.
||Tadashi Matsumoto (Cohort 2)
|Computational Modelling of Leidenfrost Fractals
||The Leidenfrost effect levitates small liquid drops above hot surfaces via a strong evaporative flux and is seen when water droplets skate across a hot pan. Understanding when this occurs is critical for the efficiency of numerous technologies, including the spray-cooling of next-generation electronics that our collaborators at Nokia Bell Labs are developing. Experiments at Bell have recently revealed counter-intuitive contact dynamics that display fractal surface wetting in competition with the nanoscale vapour flow under impacting droplets. This project will use unconventional mathematical modelling combined with computational techniques to gain unprecedented insight into this phenomenon combined with theory-driven targeted experiments at Bell.
||Peter Lewin-Jones (Cohort 2)
|Fluctuating Hydrodynamics for Liquid Spreading over Heterogeneous Surfaces
||Understanding the spreading of liquids over heterogeneous solid surfaces is the key to numerous emerging technologies (e.g. 3D ‘metaljet’ printing) and biological systems (retention of rain by leaves).
||Jingbang Liu (Cohort 1)
|Nonlinear, but under control: a hierarchical modelling approach to manipulating liquid films
||We are surrounded by situations that depend on a controlled outcome in our day-to-day lives, ranging from controlling the evacuation of crowds, to efficient drug delivery, or cooling systems inside computing centres. Most real-life scenarios rely on complicated models which are too complex to tackle analytically or computationally. Using the framework provided by a beautiful and rich physical problem – controlling nonlinear waves in falling liquid films – the project will provide opportunities to develop analytical and computational multi-physics tools. Acting in tandem for the first time, they become sufficiently powerful to translate robust theoretical strategies into realistic technological solutions.
||TBC (Cohort 3)
||Radu Cimpeanu, Susana N. Gomes