A Stiction Oscillator with Canards: On Piecewise Smooth Nonuniqueness and Its Resolution by Regularization Using Geometric Singular Perturbation Theory

Autor: Kristian Kristiansen, Morten Brøns, Elena Bossolini

Publikováno v: Bossolini, E, Brøns, M & Kristiansen, K U 2020, ' A Stiction oscillator with canards : On piecewise smooth nonuniqueness and its resolution by regularization using geometric singular perturbation theory ', SIAM Review, vol. 62, no. 4, pp. 869-897 . https://doi.org/10.1137/20M1348273

In mechanics, one often describes microscopic processes such as those leading to friction be-tween relative interfaces using macroscopic variables (relative velocity, temperature, etc.) in order to avoid models of intangible complexity. As a conseque

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https://doi.org/10.1137/20m1348273

Bifurcation theory for vortices with application to boundary layer eruption

Autor: Morten Brøns, Morten Andersen, Anne R. Nielsen, Matthias Heil

Publikováno v: Nielsen, A R, Heil, M, Andersen, M & Brons, M 2019, ' Bifurcation theory for vortices with application to boundary layer eruption ', Journal of Fluid Mechanics, vol. 865, pp. 831-849 . https://doi.org/10.1017/jfm.2019.97
Nielsen, A R, Heil, M, Andersen, M & Brøns, M 2019, ' Bifurcation theory for vortices with application to boundary layer eruption ', Journal of Fluid Mechanics, vol. 865, pp. 831-849 . https://doi.org/10.1017/jfm.2019.97

We develop a bifurcation theory describing the conditions under which vortices are created or destroyed in a two-dimensional incompressible flow. We define vortices using the $Q$-criterion and analyse the vortex structure by considering the evolution

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https://doi.org/10.1017/jfm.2019.97

Vorticity generation and conservation for two-dimensional interfaces and boundaries – ERRATUM

Autor: Thomas Leweke, Mark C. Thompson, Morten Brøns, Kerry Hourigan

Publikováno v: Journal of Fluid Mechanics. 896

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a9424566d73d7ee65320e26005ada0b0
https://doi.org/10.1017/jfm.2020.357

Vorticity topology of vortex pair interactions at low Reynolds numbers

Autor: Jesper Schmidt Hansen, Morten Andersen, Morten Brøns, Cédric Schreck

Publikováno v: Andersen, M, Schreck, C, Hansen, J S & Brøns, M 2019, ' Vorticity topology of vortex pair interactions at low Reynolds numbers ', European Journal of Mechanics, B/Fluids, vol. 74, pp. 58-67 . https://doi.org/10.1016/j.euromechflu.2018.10.022

We investigate vortex merging at low Reynolds numbers from a topological point of view. We identify vortices as local extremal points of vorticity and follow the motion and bifurcation of these points as time progresses. We consider both two-dimensio

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https://orbit.dtu.dk/en/publications/8987decc-34ac-4d76-b3c2-7891a5378498

Sparse identification of a predator-prey system from simulation data of a convection model

Autor: Jan S. Hesthaven, Magnus Dam, J. Juul Rasmussen, Volker Naulin, Morten Brøns

Publikováno v: Dam, M, Brøns, M, Rasmussen, J J, Naulin, V & Hesthaven, J S 2017, ' Sparse identification of a predator-prey system from simulation data of a convection model ', Physics of Plasmas, vol. 24, no. 2, 022310 . https://doi.org/10.1063/1.4977057
Physics of Plasmas

The use of low-dimensional dynamical systems as reduced models for plasma dynamics is useful as solving an initial value problem requires much less computational resources than fluid simulations. We utilize a data-driven modeling approach to identify

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::41c9904e1cb09cf73496d71199515faa
https://orbit.dtu.dk/en/publications/1659f3d5-909b-49f7-8ff9-2836e2553cf9