New conservative gyrokinetic full-f Vlasov code and its comparison to gyrokinetic δf particle-in-cell code
New conservative gyrokinetic full-f Vlasov code and its comparison to gyrokinetic δf particle-in-cell code
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DOI：
10.1016/j.jcp.2007.04.013
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发表时间：
2007-09
期刊：
影响因子：
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通讯作者：
Y. Idomura;M. Ida;S. Tokuda;L. Villard
中科院分区：
文献类型：
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作者：
Y. Idomura;M. Ida;S. Tokuda;L. Villard
利用同时守恒L1和L2范数的有限差分算子，发展了一种新的守恒陀螺动力学全f Vlasov程序。通过守恒L2范数，抑制了数值振荡的增长，在长时间的数值模拟中具有较好的数值稳定性和健壮性。在板条离子温度梯度驱动的湍流模拟中，确定了能量守恒和熵平衡关系，并以传统的δf粒子单元程序为基准进行了求解。结果表明，Vlasov守恒型数值模拟中精确的粒子数守恒性和较好的能量守恒性有利于更长时间的微湍流数值模拟。在比较中，阐明了v-∥非线性对Vlasov和PIC模拟的物理和数值影响。
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 δf 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∥nonlinearity are clarified for the Vlasov and PIC simulations.