PhD candidate Julio Urizarna-Carasa, technomathematics student Leon Schlegel and Professor Daniel Ruprecht from the Institute for Mathematics at the Hamburg University of Technology have shared their latest results on numerical methods for the Maxey-Riley equations with Basset history term.
The paper presents a numerical approach based on finite difference, by adopting techniques by Koleva and Fazio and Janelli to cope with the issues of having an unbounded spatial domain. Convergence order and computational efficiency for particles of varying size and density of the polynomial expansion by Prasath et al., the finite difference schemes and a direct integrator for the MRE based on multi-step methods proposed by Daitche are compared.
Urizarna-Carasa, J., Schlegel, L., Ruprecht, D. (2024). Efficient numerical methods for the Maxey-Riley equations with Basset history term. arxiv.org/pdf/2403.13515.pdf
