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 a reduced model from simulation data of a convection problem. A convection model with a pressure source centered at the inner boundary models the edge dynamics of a magnetically confined plasma. The convection problem undergoes a sequence of bifurcations as the strength of the pressure source increases. The time evolution of the energies of the pressure profile, the turbulent flow, and the zonal flow capture the fundamental dynamic behavior of the full system. By applying the sparse identification of nonlinear dynamics (SINDy) method, we identify a predator-prey type dynamical system that approximates the underlying dynamics of the three energy state variables. A bifurcation analysis of the system reveals consistency between the bifurcation structures, observed for the simulation data, and the identified underlying system.
Skip Nav Destination
Article navigation
February 2017
Research Article|
February 28 2017
Sparse identification of a predator-prey system from simulation data of a convection model
Magnus Dam
;
Magnus Dam
1Department of Applied Mathematics and Computer Science,
Technical University of Denmark
, DK-2800 Kgs. Lyngby, Denmark
Search for other works by this author on:
Morten Brøns;
Morten Brøns
1Department of Applied Mathematics and Computer Science,
Technical University of Denmark
, DK-2800 Kgs. Lyngby, Denmark
Search for other works by this author on:
Jens Juul Rasmussen;
Jens Juul Rasmussen
2Department of Physics,
Technical University of Denmark
, DK-2800 Kgs. Lyngby, Denmark
Search for other works by this author on:
Volker Naulin
;
Volker Naulin
2Department of Physics,
Technical University of Denmark
, DK-2800 Kgs. Lyngby, Denmark
Search for other works by this author on:
Jan S. Hesthaven
Jan S. Hesthaven
3Mathematics Institute of Computational Science and Engineering,
École Polytechnique Fédérale de Lausanne
, CH-1015 Lausanne, Switzerland
Search for other works by this author on:
Phys. Plasmas 24, 022310 (2017)
Article history
Received:
December 07 2016
Accepted:
February 08 2017
Citation
Magnus Dam, Morten Brøns, Jens Juul Rasmussen, Volker Naulin, Jan S. Hesthaven; Sparse identification of a predator-prey system from simulation data of a convection model. Phys. Plasmas 1 February 2017; 24 (2): 022310. https://doi.org/10.1063/1.4977057
Download citation file:
Sign in
Don't already have an account? Register
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Sign in via your Institution
Sign in via your InstitutionPay-Per-View Access
$40.00