Robustness of coherent sets computations
Publikation: Beiträge in Sammelwerken › Abstracts in Konferenzbänden › Forschung › begutachtet
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Robustness of coherent sets computations. / Klünker, Anna; Padberg-Gehle, Kathrin.
Proceedings of the 9th European Nonlinear Dynamics Conference: ENOC 2017, 25-30 June 2017, Budapest, Hungary. Hrsg. / Gábor Stépán; Gábor Csernák. Budapest : Congressline Ltd., 2017. 493.Publikation: Beiträge in Sammelwerken › Abstracts in Konferenzbänden › Forschung › begutachtet
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TY - CHAP
T1 - Robustness of coherent sets computations
AU - Klünker, Anna
AU - Padberg-Gehle, Kathrin
N1 - Conference code: 9
PY - 2017
Y1 - 2017
N2 - The notion of coherence in time-dependent dynamical systems refers to mobile sets that do not freely mix with thesurrounding regions in phase space. Coherent sets can be identified using set-oriented numerical methods involving transfer operators.Typically, such approach relies on the integration of a large number of particle trajectories computed from test points initialized inthe elements of a fine partition of phase space. This can be prohibitively expensive in complex flows involving turbulence. Here,we systematically study the robustness of such computations in an example system. We demonstrate that the transfer operator basedframework still gives reliable results even when both the number of partition elements and the number of test points are reducedsignificantly.
AB - The notion of coherence in time-dependent dynamical systems refers to mobile sets that do not freely mix with thesurrounding regions in phase space. Coherent sets can be identified using set-oriented numerical methods involving transfer operators.Typically, such approach relies on the integration of a large number of particle trajectories computed from test points initialized inthe elements of a fine partition of phase space. This can be prohibitively expensive in complex flows involving turbulence. Here,we systematically study the robustness of such computations in an example system. We demonstrate that the transfer operator basedframework still gives reliable results even when both the number of partition elements and the number of test points are reducedsignificantly.
KW - Mathematics
UR - https://congressline.hu/enoc2017/proceedings.php?author=P
M3 - Published abstract in conference proceedings
SN - 978-963-12-9168-1
BT - Proceedings of the 9th European Nonlinear Dynamics Conference
A2 - Stépán, Gábor
A2 - Csernák, Gábor
PB - Congressline Ltd.
CY - Budapest
T2 - European Nonlinear Dynamics Conference - ENOC 2017
Y2 - 25 June 2017 through 30 June 2017
ER -