Guiding Center 4d Deeply Trapped with Symmetric SRK3 VPRK Method and Projections

The time step and number of time steps are those of this orbit, set in src/guiding-center-4d.jl; the toroidal momentum is shown alongside the energy, as the second invariant of the guiding centre dynamics.

SymplecticSRK3

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Plotting vprksrk3pnonetoroidalmomentum_error failed: MethodError.

Plotting vprksrk3pnonetoroidalmomentum_drift failed: MethodError.

Guiding Center 4d Deeply Trapped

SymplecticSRK3 with standard projection

Plots

Plotting vprksrk3pstandardtoroidalmomentum_error failed: MethodError.

Plotting vprksrk3pstandardtoroidalmomentum_drift failed: MethodError.

Guiding Center 4d Deeply Trapped

SymplecticSRK3 with symmetric projection

Plots

Plotting vprksrk3psymmetrictoroidalmomentum_error failed: MethodError.

Plotting vprksrk3psymmetrictoroidalmomentum_drift failed: MethodError.

Guiding Center 4d Deeply Trapped

SymplecticSRK3 with symplectic projection

Plots

Plotting vprksrk3psymplectictoroidalmomentum_error failed: MethodError.

Plotting vprksrk3psymplectictoroidalmomentum_drift failed: MethodError.

Guiding Center 4d Deeply Trapped

SymplecticSRK3 with midpoint projection

Plots

Plotting vprksrk3pmidpointtoroidalmomentum_error failed: MethodError.

Plotting vprksrk3pmidpointtoroidalmomentum_drift failed: MethodError.

Guiding Center 4d Deeply Trapped

SymplecticSRK3 with internal stage projection

Plots

Simulation crashed after 0 of 12500 time steps: MethodError.