Author details

ΔVi,j ¼ ΔzSi (A24)

i,j � wtd i�1,j � �

i,j � wtd i,j�1 � �

<sup>2</sup>,j ¼ 0 (A25)

<sup>2</sup> ¼ 0 (A26)

< 0

< 0

<sup>2</sup>,j ≤ 1 (A27)

≤ 1 (A28)

(A29)

(A30)

(A31)

(A32)

(A33)

(A34)

(A35)

(A37)

(A38)

(5) to restrict the antidiffusion flux

< 0& Aiþ<sup>1</sup>

126 Plasma Science and Technology - Basic Fundamentals and Modern Applications

< 0& Ai,jþ<sup>1</sup>

<sup>2</sup>,j <sup>w</sup>td

<sup>2</sup> <sup>w</sup>td

AC iþ1

AC i,jþ<sup>1</sup> 2 ¼ Ci,jþ<sup>1</sup> 2 Ai,jþ<sup>1</sup>

Ciþ<sup>1</sup> <sup>2</sup>,j ¼

Ci,jþ<sup>1</sup> <sup>2</sup> ¼

wmax

wmin

2,j � �

R<sup>þ</sup>

2,j � �

i,j ¼ max 0; Ai�<sup>1</sup>

i,j ¼ max 0; Aiþ<sup>1</sup>

P<sup>þ</sup>

P�

<sup>i</sup>þ2,j � <sup>w</sup>td

i,jþ<sup>2</sup> � <sup>w</sup>td

<sup>2</sup>,j <sup>¼</sup> Ciþ<sup>1</sup> 2,j Aiþ<sup>1</sup>

> 8 ><

> >:

8 ><

>:

wa

wb

i,j <sup>¼</sup> max <sup>w</sup><sup>a</sup>

i,j <sup>¼</sup> min <sup>w</sup><sup>b</sup>

� �

min R<sup>þ</sup> iþ1,j ;R� i,j � �

min R<sup>þ</sup> i,j ;R� iþ1,j � �

min R<sup>þ</sup>

min R<sup>þ</sup> i,j ;R� i,jþ1 � �

> i�1,j ; wa i,j ; w<sup>a</sup> iþ1,j ; wa i,j�<sup>1</sup>; wa i,jþ1

i�1,j ; wb i,j ; w<sup>b</sup> iþ1,j ; wb i,j�<sup>1</sup>; wb i,jþ1

i,j <sup>¼</sup> <sup>w</sup>max

i,j <sup>¼</sup> min 1; <sup>Q</sup><sup>þ</sup>

� min 0; Ai�<sup>1</sup>

Q� i,j <sup>¼</sup> <sup>w</sup>td

� min 0; Aiþ<sup>1</sup>

Q<sup>þ</sup>

8 < :

i,j <sup>¼</sup> max <sup>w</sup><sup>n</sup>

i,j <sup>¼</sup> min <sup>w</sup><sup>n</sup>

2,j � �

> i,j � <sup>w</sup>td i,j

i,j =P<sup>þ</sup> i,j � �

0 P<sup>þ</sup>

i,j � <sup>w</sup>min i,j � �

2,j � �

� �

i,jþ<sup>1</sup>;R� i,j � �

> i,j ; wtd i,j � �

i,j ; wtd i,j � �

� �

þ max 0; Ai,j�<sup>1</sup>

P<sup>þ</sup> i,j > 0

þ max 0; Ai,jþ<sup>1</sup>

i,j ¼ 0

2 � �

2 � � � min 0; Ai,jþ<sup>1</sup>

ΔVi,j (A36)

� min 0; Ai,j�<sup>1</sup>

ΔVi,j (A39)

2 � �

2 � �

� �

� �

iþ1,j

i,jþ1

Ai,jþ<sup>1</sup>

Aiþ<sup>1</sup>

< 0kAiþ<sup>1</sup>

< 0kAi,jþ<sup>1</sup>

n o

<sup>2</sup>,j <sup>0</sup> <sup>≤</sup> Ciþ<sup>1</sup>

<sup>2</sup> <sup>0</sup> <sup>≤</sup> Ci,jþ<sup>1</sup>

2

Aiþ<sup>1</sup> <sup>2</sup>,j ≥ 0

Aiþ<sup>1</sup> <sup>2</sup>,j < 0

Ai,jþ<sup>1</sup> 2 ≥ 0

Ai,jþ<sup>1</sup> <sup>2</sup> < 0

n o

<sup>2</sup>,j <sup>w</sup>td

<sup>2</sup> <sup>w</sup>td

<sup>i</sup>þ1,j � <sup>w</sup>td i,j

i,jþ<sup>1</sup> � <sup>w</sup>td i,j

� �

� �

If Aiþ<sup>1</sup>

If Ai,jþ<sup>1</sup>

<sup>2</sup>,j wtd

<sup>2</sup> wtd

Cheng Pan\*, Ju Tang and Fuping Zeng

\*Address all correspondence to: pancheng2036@gmail.com

School of Electrical Engineering, Wuhan University, China
