Processing math: 100%
电磁粒子模拟中电荷守恒的电流分配方案满足的统一公式
付梅艳,卢朓,朱湘疆
Unified Formulation of Charge-conserving Current Assignment in Electromagnetic Particle-in-Cell Simulation
Meiyan Fu,Tiao Lu,Xiangjiang Zhu
表 4
涉及八个元胞时相关形因子(三维,最常见情形)
Form-factor(1st order)
−
0.5
≤
x
<
0.5
,
−
0.5
≤
y
<
0.5
,
−
0.5
≤
z
<
0.5
S
(
i
,
j
,
k
)
(
x
,
y
,
z
)
(
0.5
−
x
)
(
0.5
−
y
)
(
0.5
−
z
)
S
(
i
+
1
,
j
,
k
)
(
x
,
y
,
z
)
(
0.5
+
x
)
(
0.5
−
y
)
(
0.5
−
z
)
S
(
i
,
j
+
1
,
k
)
(
x
,
y
,
z
)
(
0.5
−
x
)
(
0.5
+
y
)
(
0.5
−
z
)
S
(
i
+
1
,
j
+
1
,
k
)
(
x
,
y
,
z
)
(
0.5
+
x
)
(
0.5
+
y
)
(
0.5
−
z
)
S
(
i
,
j
,
k
+
1
)
(
x
,
y
,
z
)
(
0.5
−
x
)
(
0.5
−
y
)
(
0.5
+
z
)
S
(
i
+
1
,
j
,
k
+
1
)
(
x
,
y
,
z
)
(
0.5
+
x
)
(
0.5
−
y
)
(
0.5
+
z
)
S
(
i
,
j
+
1
,
k
+
1
)
(
x
,
y
,
z
)
(
0.5
−
x
)
(
0.5
+
y
)
(
0.5
+
z
)
S
(
i
+
1
,
j
+
1
,
k
+
1
)
(
x
,
y
,
z
)
(
0.5
+
x
)
(
0.5
+
y
)
(
0.5
+
z
)