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A gyrokinetic continuum code based on the numerical Lie transform (NLT) method. (English) Zbl 1349.82132
Summary: In this work, we report a novel gyrokinetic simulation method named numerical Lie transform (NLT), which depends on a new physical model derived from the I-transform theory. In this model, the perturbed motion of a particle is decoupled from the unperturbed motion. Due to this property, the unperturbed orbit can be computed in advance and saved as numerical tables for real-time computation. A 4D tensor B-spline interpolation module is developed and applied with the semi-Lagrangian scheme to avoid operator splitting. The NLT code is verified by the Rosenbluth-Hinton test and the linear ITG Cyclone test.
82C80 Numerical methods of time-dependent statistical mechanics (MSC2010)
76M60 Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
Full Text: DOI
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