Structure-preserving numerical methods with application to problems in particle dynamics
Has parts
Tapley, Benjamin; Celledoni, Elena; Owren, Brynjulf; Andersson, Helge Ingolf. A novel approach to rigid spheroid models in viscous flows using operator splitting methods. Numerical Algorithms 2019 ;Volum 81.(4) s. 1423-1441 https://doi.org/10.1007/s11075-019-00666-1Tapley, Benjamin K.; Andersson, Helge I.; Celledoni, Elena; Owren, Brynjulf. Computational geometric methods for preferential clustering of particle suspensions. arXiv:1907.11936
Ohm, Laurel; Tapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. A slender body model for thin rigid fibers: validation and comparisons. I: MekIT’19 - 10th National Conference on Computational Mechanics. International Center for Numerical Methods in Engineering (CIMNE) 2019 s. 343-365
Andersson, Helge Ingolf; Celledoni, Elena; Ohm, Laurel; Owren, Brynjulf; Tapley, Benjamin. An integral model based on slender body theory, with applications to curved rigid fibers. Physics of Fluids 2021 ;Volum 33.(4) https://doi.org/10.1063/5.0041521
Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin; van der Kamp, Peter H. Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. Journal of Physics A: Mathematical and Theoretical 2019 ;Volum 52.(31) https://doi.org/10.1088/1751-8121/ab294b
Celledoni, Elena; Evripidou,Charalambos A.; McLaren, David I.; Owren, Brynjulf; Quispel, G, R. W.; Tapley, Benjamin, K. Detecting and determining preserved measures and integrals of rational maps. arXiv:1902.04685
Tapley, Benjamin, K. On the preservation of affine second integrals by Runge-Kutta methods. arXiv:2105.10929
McLachlan, Robert I.; Offen, Christian; Tapley, Benjamin. Symplectic integration of PDEs using Clebsch variables. Journal of Computational Dynamics 2019 ;Volum 6.(1) s. 111-130 https://doi.org/10.3934/jcd.2019005