Eric’s research develops accurate models and efficient simulations for multiphase systems in continuum mechanics. Applications span from optimising manufacture times in small-scale industrial microfluidics, through to assessing planetary-scale influence of ice-ocean interactions in global climate modelling. This research combines several techniques: developing software to automate asymptotic analysis of singularly perturbed partial differential equations, implementation of high performance numerical codes in the flexible and efficient Dedalus computational framework, as well as performing laboratory experiments of phase change phenomena. A unifying theme is how a sensible choice of “coordinates” (e.g. the elegant differential geometry of the signed-distance function for moving boundary layers, or the comprehensive algebra of Jacobi polynomials for sparse methods in numerical differential equations) can achieve rapid convergence, and thereby enable more efficient and explanatory models. The ultimate goal is to distill these methods into simple and generalisable predictions that help domain experts understand and optimise complex physical phenomena.