変数分離法による= 977;次元二群拡散方程式= ;の解法

マスタテキスト{= 98;書式設定

第 2 レベル <= /div>

第 3 レベル <= /div>

第 4 レベル <= /div>

第 5 レベル

<日付/時&#= 21051;>

<フッター>

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<ヘッダー>

<日付/時&#= 21051;>

<フッター>

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------=_NextPart_01C92ECF.C1ACE010 Content-Location: file:///C:/988EE2A5/2008galtukaiakiezure.files/pres.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C92ECF.C1ACE010 Content-Location: file:///C:/988EE2A5/2008galtukaiakiezure.files/slide0001.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 変数分離法による= 977;次元二群拡散方程式= ;の解法

変数分&= #38626;法による三次元二 = 676;拡散方程式の解法

株式会社　ナイス =

江連　秀夫　

Solution of Three-dimensional Two-group Diffusion Equation

by Separation of Variables

------=_NextPart_01C92ECF.C1ACE010 Content-Location: file:///C:/988EE2A5/2008galtukaiakiezure.files/slide0002.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 変数分離法による= 977;次元二群拡散方程式= ;の解法

　&= #12288;　　　　　　　　= 446;　的

　炉心性能解= ;析では三次元二群拡&#= 25955;方程式の解法

にノード法、= ;近代ノード法等が用&#= 12356;られている。

①二領域では= 一次元二群拡散方程= 4335;は解析解が求

められる。

•②= 809;定数が均質な体系内= ;では拡散方定式の解&#= 27861;に

•変= 5968;分離法の適用が可೦= 1;。三次元→一次元化&#= 13;

•①&= #12392;②を三次元拡散方ĸ= 43;式の解法に採用して= 解(階

•差= 式)を得る(目的)。

------=_NextPart_01C92ECF.C1ACE010 Content-Location: file:///C:/988EE2A5/2008galtukaiakiezure.files/slide0008.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 変数分離法による= 977;次元二群拡散方程式= ;の解法

一次元二群拡散= ;方程式の解析解

Center

Node 2

Node 1

Center

&= #13;

<= /div>

= ;

&#= 13;

Interface

　　x=3D0

（１）

（2）

（3）

(特性方程式)

aj,bj,cj,dj:未= 693;数

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二領ࣉ= 5;間の中性子流（J）

・ノード&= 291;で中性子束、中性子= ;流の連続

・ノードの平均= 013;性子束が既知

　　　　：&= #24179;均中性子束

（4）

（5）

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変数分離による= 9977;次元二群拡散
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(斉次方程式)

（変数分離係数= 5289;

(特性方程式)

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解法(続き）

•

Node

（14）=

= （15）=

（16）=

(中性子のもれ）

（三次元二群中= 4615;子のバランス方程ঁ= 5;）

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三次元二群拡散= 6041;程式の階差式

<= span style=3D'font-family:"MS PGothic";mso-fareast-font-family:"MS PGothic"; font-size:67%'>（17）=

= （19）=

= （18）=

：ノード法，近= 0195;ノード法では考慮されて= 2356;ない。

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中性ड= 6;の挙動

<= /span>

Node i+m　　　　 Node　i　　　　　 Node i+m

= ; &n= bsp;

Fast neutron=

Fast neutron=

Fast neutron=

Fission

Thermalizati= on

Fission

Thermal neut= ron

Thermal neut= ron

Thermal neut= ron

Fast neutron flux

Thermal neut= ron flux　　

Fast neutron=

Thermalizati= on

Fast neutron=

Fission

Thermalizati= on

Thermal neut= ron

Thermal neut= ron

Thermal neut= ron

Fast neutron=

= ：ノード法，近= 0195;ノード法= では考慮されて= 2356;ない。

(θ1)

(ｇ2= )

(ｇ1= )

(θ1)

(θ2)

(θ2)

(ｇ1= )

(ｇ2= )

：流入　( ):流出

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9

　&= #12288;　　　　　　　　= 414;とめ

•　　三&= #27425;元二群拡散方程式= 395;変数分離を適用して斎次一Ē= 25;元二群拡散方程式と= 特性方程式を導{= 65;、この解析解を用い= て三次元二群拡ă= 55;方程式の解(階差式)が求められた。 = •　　本方法とノ}= 40;ド法、近代ノード法= 等との相違が明確{= 95;できた。

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10

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11

Update physi= cal parameters

and nuclear group constants

Update P1Δ1, C<= /span>1, S<= /span>1 , T<= /span>1,Buc= klings,Eigenfuctions,

　　　　　ӌ= 8;　　for all nodes

Converged?

Buck= ling,Void cal.?

End<= /span>

Upda= te ω, Acceleration<= /div>

Calculate <= /div>

Geometry and

Operation da= ta

Initial guess

CS,Burnup cal.?

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977;次元二群拡散方程式= ;の解法

12

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13

ノード内の中性&#= 23376;束分布

= （17）=

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小さいノード
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