4 papers
Characteristic Sweeps and Source Iteration for Charged-Particle Transport with Continuous Slowing-Down and Angular Scattering
Ben S. Ashby, Alex Lukyanov, Tristan Pryer
We develop a semi-analytic deterministic framework for charged-particle transport with continuous slowing-down in energy and angular scattering. Directed transport and energy advec…
A finite element method for a non-Newtonian dilute polymer fluid
Ben S. Ashby, Gabriel R. Barrenechea, Alex Lukyanov +2
We study the discretisation of a uniaxial (rank-one) reduction of the Oldroyd-B model for dilute polymer solutions, in which the conformation tensor is represented as $\sig = \vec…
Oil slicks dynamics in semi-confined geometries in the presence of water waves: analytical and numerical insights
Hanan Hozan, Mike Baines, Alex Lukyanov
We have shown previously that the dynamics of isolated oil slicks on the water's surface after spills is significantly influenced by surface-wave motion practically at the onset of…
Efficient Proton Transport Modelling for Proton Beam Therapy and Biological Quantification
Ben S. Ashby, Veronika Chronholm, Daniel K. Hajnal +4
In this work, we present a fundamental mathematical model for proton transport, tailored to capture the key physical processes underpinning Proton Beam Therapy (PBT). The model pro…