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New conservative gyrokinetic full-$$f$$ Vlasov code and its comparison to gyrokinetic $$delta f$$ particle-in-cell code

Idomura, Yasuhiro   ; Ida, Masato; Tokuda, Shinji; Villard, L.*

A new conservative gyrokinetic full-$$f$$ Vlasov code is developed using a finite difference operator which conserves both the $$L1$$ and $$L2$$ norms. The growth of numerical oscillations is suppressed by conserving the $$L2$$ norm, and the code is numerically stable and robust in a long time simulation. In the slab ion temperature gradient driven (ITG) turbulence simulation, the energy conservation and the entropy balance relation are confirmed, and solutions are benchmarked against a conventional $$delta f$$ particle-in-cell (PIC) code. The results show that the exact particle number conservation and the good energy conservation in the conservative Vlasov simulation are advantageous for a long time micro-turbulence simulation. In the comparison, physical and numerical effects of the $$v_parallel$$ nonlinearity are clarified for the Vlasov and PIC simulations.



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Category:Computer Science, Interdisciplinary Applications



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