Affiliation: University of Strathclyde, UK Academic Webpage Title: A reduced model for a problem in non-Newtonian fluid mechanics Abstract: We propose a finite element discretisation of a three-dimensional non-Newtonian flow whose dynamics are described by an Upper Convected Maxwell model. First, a one-directional simplification of the UCM problem is made, so the main variables are…
Academic webpage: https://www.ma.imperial.ac.uk/~pberloff/ Title: Oceanic Vortex Pulsars Abstract: Theoretical studies of coherent vortices have a half-century history and in many ways have become classics of geophysical fluid dynamics. Some recent results will be presented on a new class of stable and ever-living coherent vortices on stratified background shears. These features, referred to as "vortex pulsars",…
Academic webpage: https://www.gla.ac.uk/schools/mathematicsstatistics/staff/robertteed/ Title: Numerically modelling the magnetic field generation of Earth’s core Abstract: Planetary magnetic fields are produced by dynamo action through turbulent motions of an electrically conducting fluid within the interior of the planet. Numerical experiments of dynamo action relevant to Earth's magnetic field have produced different regime branches identified within bifurcation diagrams…
Academic webpage: https://www.durham.ac.uk/staff/christopher-prior/ Title: Predicting protein dynamics using writhe Abstract: The advent of AlphaFold has steered the fundamental questions on protein structure towards understanding their dynamics in their native state, rather than the static crystal states routinely predicted. One critical tool in our arsenal is small angle x-ray scattering (SAXS) which allows, with significant modelling,…
Academic webpage: https://www.maths.ox.ac.uk/people/patrick.farrell Title: Designing conservative and accurately dissipative numerical integrators in time Abstract: Numerical methods for the simulation of transient systems with structure-preserving properties are known to exhibit greater accuracy and physical reliability, in particular over long durations. These schemes are often built on powerful geometric ideas for broad classes of problems, such as…
Academic Webpage Title: Reversals of the Geodynamo Abstract: Somewhat surprisingly, there is still no convincing model, or even cartoon, for reversals of the earth's magnetic field. This is because the underlying mechanisms are still not understood. While numerical simulations of the geodynamo are, perhaps, finally beginning to approach a dynamically relevant regime, they still cannot…
Academic webpage Title: Modelling multiphase matter: from microparticles to mega-icebergs Abstract: The world is multiphase. Water and ice, rock and lava, nucleus and cytoplasm. How can we model these systems, and simulate them efficiently? I'll start with three examples from my research, boat drag in dead water, melting icebergs in salty oceans, and phase-separating polymers…
Academic webpage Title: TBA Abstract: TBA Location: TBD
Academic webpage Title: TBA Abstract: TBA Location: TBD
Academic webpage Title: The Role of Geometry, Topology and Mechanics in Physiology and Disease Abstract: Molecular networks underpin all cellular functions, including metabolism, division, and migration. These networks are frequently altered in disease and are common targets for therapeutic intervention. Many key molecular components are associated with the plasma membrane or are localized within organelles…
Academic webpage Title: Adaptive methods and explicit time-stepping Abstract: Aposteriori error analysis for Galerkin finite element methods have proven very successful tool in developing mathematically rigorous adaptive mesh refinement algorithms for implicit/space-time evolution equations. Â In this work we extend rigorous adaptivity principles to explicit time-stepping for the wave equation. I will review in the first…