Göttingen 2025 – wissenschaftliches Programm
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P: Fachverband Plasmaphysik
P 18: Codes and Modeling/HEPP
P 18.3: Vortrag
Donnerstag, 3. April 2025, 11:55–12:20, ZHG102
A Stochastic Variational Principle for a Two-Fluid Model Arising in Fusion Plasma Physics — •Sayyed Amin Raiessi Toussi1, Omar Maj1, and Tomasz Tyranowski2 — 1Max Planck Institute for Plasma Physics, D-85748 Garching, Germany — 2Faculty of Electrical Engineering, Mathematics and Computer Science, University of Twente, 7522NH Enschede, The Netherlands
This work proposes a stochastic variational principle for a quasi-neutral, two fluid model of a plasma in a fixed magnetic field, including dissipative effects such as particle diffusion, viscosity and heat fluxes. The variational formulation is motivated by the development of a variational smooth particle method for transport simulation in complex stellerator geometries. In the absence of dissipative effects the model admits both a Lagrangian and a corresponding Euler-Poincaré reduced variational principle. The main variables in the Lagranigan picture are the fluid flows, which describe the displacement of the ion and the electron fluid, respectively. Dissipative effects are incorporated by stochastic perturbation of the underlying flows, closely following the work of Chen et al [X. Chen, A. B. Cruzeiro and T. Ratiu, J. Nonlinear Sci. 33, 5 (2023)]. In this formulation elements of the theory of compressible, viscous flows are combined with Lagrangian constraints coming from quasi-neutrality. Finally, using particle methods, we will present a semi-discretized version of the proposed variational principle.
Keywords: Particle methods; Stochastic Variational Principle; Edge Plasma; Euler-Poincaré reduction; stochastic flows