Outputs (5)

Stokesian Dynamics in Python (2024)
Journal Article
Townsend, A. (2024). Stokesian Dynamics in Python. The Journal of Open Source Software, 9(94), Article 6011. https://doi.org/10.21105/joss.06011

This is a Python 3 implementation of the Stokesian Dynamics method for polydisperse spheres suspended in a 3D Newtonian background fluid. The fluid-filled domain may be unbounded or a periodic cube. Physical setups and custom forces on the particles... Read More about Stokesian Dynamics in Python.

Generating, from scratch, the near-field asymptotic forms of scalar resistance functions for two unequal rigid spheres in low Reynolds number flow (2023)
Journal Article
Townsend, A. K. (2023). Generating, from scratch, the near-field asymptotic forms of scalar resistance functions for two unequal rigid spheres in low Reynolds number flow. Physics of Fluids, 35(12), Article 127126. https://doi.org/10.1063/5.0175697

The motion of rigid spherical particles suspended in a low Reynolds number fluid can be related to the forces, torques and stresslets acting upon them by 22 scalar resistance functions, commonly notated $X^A_{11}$, $X^A_{12}$, $Y^A_{11}$, etc. Near-f... Read More about Generating, from scratch, the near-field asymptotic forms of scalar resistance functions for two unequal rigid spheres in low Reynolds number flow.

VisualPDE: Rapid Interactive Simulations of Partial Differential Equations (2023)
Journal Article
Walker, B. J., Townsend, A. K., Chudasama, A. K., & Krause, A. L. (2023). VisualPDE: Rapid Interactive Simulations of Partial Differential Equations. Bulletin of Mathematical Biology, 85(11), Article 113. https://doi.org/10.1007/s11538-023-01218-4

Computing has revolutionised the study of complex nonlinear systems, both by allowing us to solve previously intractable models and through the ability to visualise solutions in different ways. Using ubiquitous computing infrastructure, we provide a... Read More about VisualPDE: Rapid Interactive Simulations of Partial Differential Equations.

Going round in circles: Geometry in the early years (2023)
Journal Article
Oughton, R. H., Wheadon, D. M., Bolden, D. S., Nichols, K., Fearn, S., Darwin, S., …Townsend, A. (2023). Going round in circles: Geometry in the early years. Mathematics teaching, 286, 29-34

The research described here came from a collaboration between university-based mathematicians and early years (EY) educators. The project emerged naturally, driven by the felt need of the EY educators to develop a broader understanding and appreciati... Read More about Going round in circles: Geometry in the early years.

Developing ‘deep mathematical thinking’ in geometry with 3- and 4-year-olds: A collaborative study between early years teachers and University-based mathematicians (2022)
Journal Article
Oughton, R., Nichols, K., Bolden, D. S., Dixon-Jones, S., Fearn, S., Darwin, S., …Townsend, A. (2022). Developing ‘deep mathematical thinking’ in geometry with 3- and 4-year-olds: A collaborative study between early years teachers and University-based mathematicians. Mathematical Thinking and Learning, https://doi.org/10.1080/10986065.2022.2119497

Mathematics in early years settings is often restricted to learning to count and identifying simple shapes. This is partly due to the narrow scope of many early years curricula and insufficient teacher training for exploring deeper mathematical conce... Read More about Developing ‘deep mathematical thinking’ in geometry with 3- and 4-year-olds: A collaborative study between early years teachers and University-based mathematicians.