Browsing NTNU Open by Author "Tapley, Benjamin"
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An integral model based on slender body theory, with applications to curved rigid fibers
Andersson, Helge Ingolf; Celledoni, Elena; Ohm, Laurel; Owren, Brynjulf; Tapley, Benjamin (Peer reviewed; Journal article, 2021)We propose a novel integral model describing the motion of both flexible and rigid slender fibers in viscous flow and develop a numerical method for simulating dynamics of curved rigid fibers. The model is derived from ... -
A novel approach to rigid spheroid models in viscous flows using operator splitting methods
Tapley, Benjamin; Celledoni, Elena; Owren, Brynjulf; Andersson, Helge Ingolf (Peer reviewed; Journal article, 2019)Calculating cost-effective solutions to particle dynamics in viscous flows is an important problem in many areas of industry and nature. We implement a second-order symmetric splitting method on the governing equations for ... -
Structure-preserving numerical methods with application to problems in particle dynamics
Tapley, Benjamin (Doctoral theses at NTNU;2021:189, Doctoral thesis, 2021) -
Symplectic integration of PDEs using Clebsch variables
McLachlan, Robert I.; Offen, Christian; Tapley, Benjamin (Journal article, 2019)Many PDEs (Burgers' equation, KdV, Camassa-Holm, Euler's fluid equations, …) can be formulated as infinite-dimensional Lie-Poisson systems. These are Hamiltonian systems on manifolds equipped with Poisson brackets. The ... -
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps
Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin; van der Kamp, Peter H. (Peer reviewed; Journal article, 2019)In this letter we propose a systematic approach for detecting and calculating integrals and preserved measures of rational maps. The approach is based on the use of cofactors and discrete Darboux polynomials and relies on ...