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声振论坛»论坛 › 算法编程 › Matlab讨论区 › 斑竹及各位大侠帮小弟看一个程序
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[编程技巧] 斑竹及各位大侠帮小弟看一个程序

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飞天踏雪
发表于 2006-8-7 16:32 | 显示全部楼层 |阅读模式

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x
一个非线性方程组，有三百多个
用fsolve解出的的效果不好，恳请斑竹及各位大侠推荐其他的求解方法，或修改的东西
源程序见附页

  1. function CSTR_644
  2. %对不同的循环圈采取不同的排出流量
  3. %漩涡流量根据CFD模拟结果计算得到
  4. %循环圈内的循环流量认为大小不等
  5. %同时考虑氧对反应的影响，
  6. z1=zeros(16,4,6);
  7. z1(:,:,5)=ones(16,4)*2;
  8. z1(:,:,6)=zeros(16,4);

  10. x0=z1(:);
  11. %options=optimset;%('Display','off','Jacobian','on');
  12. %options.Tolx=1e-10;
  13. %options.Tolfun=1e-20;
  14. %options=optimset('MaxfunEvals',[1e50],'Tolx',[1e-8],'Tolfun',[1e-30],'Jacobian','off');
  15. y=fsolve(@CSTR644,x0);
  16. m=reshape(abs(y),16,4,6)
  17. a1=sum(sum(m(:,:,1)));
  18. a2=sum(sum(m(:,:,2)));
  19. a3=sum(sum(m(:,:,3)));
  20. a4=sum(sum(m(:,:,4)));
  21. a5=sum(sum(m(:,:,5)));
  22. a8=sum(sum(m(:,:,6)));
  23. %反应收率
  24. a6=a5/(a1)
  25. %杂质含量
  26. a7=a4/(a1)

  28. function E=CSTR644(x)
  29. c=reshape(x,16,4,6);

  31. %设定气含率为5%均匀
  32. Q1=25.3974;%第一主体循环流量
  33. Q2=19.483;%第二主体循环流量
  34. Q3=18.6079;%thE(i,j,h) third circlE(i,j,h) flow
  35. Q4=18.9814;%thE(i,j,h) forth circlE(i,j,h) flow
  36. F=0.005457;%thE(i,j,h) matE(i,j,h)rial fE(i,j,h)E(i,j,h)d and output (kg/s)
  37. V1=4.684/64;%单元格体积
  38. beta=0.2;%交互系数
  39. c0=2.180;%加料中PX的初始浓度相对于醋酸mole/kg
  40. b=V1*380*0.2/37.98;%定义为单元格内氧气的浓度(nE(i,j,h)E(i,j,h)d to modify)
  41. V=V1*0.95;%单元格液相
  42. M=V*1050;
  43. T=463;% K
  44. %k10=2.86e-3;%指前因子
  45. k11=0.59+0.24*b-0.036*b.^2;%考虑氧浓度对反应的影响
  46. %k(1)=k10*k11*exp(15.12-(17.82e+3)/T);%速率常数
  47. k(1)=0.1716*k11/60;
  48. %k20=1.16e-2;
  49. k21=0.53+0.29*b-0.047*b.^2;
  50. %k(2)=k20*k21*exp(13.20-(6.199e+3)/T);
  51. k(2)=k21*0.7002/60;
  52. %k30=5.88e-4;
  53. k31=0.55+0.26*b-0.038*b.^2;
  54. %k(3)=k30*k31*exp(18.83-(10.23e+3)/T);
  55. k(3)=k31*0.0353/60;
  56. %k40=5.49e-4;
  57. k41=0.46+0.13*b-0.007*b.^2;
  58. %k(4)=k40*k41*exp(20.41-(9.412e+3)/T);
  59. k(4)=k41*0.3296/60;
  60. %k50=6.44e-4;
  61. k51=0.46+0.33*b-0.049*b.^2;
  62. %k(5)=k50*k51*exp(15.10-(7.851e+3)/T);
  63. k(5)=k51*0.0386/60;
  64. %k60=2.14e-2;
  65. k61=0.69+0.2*b-0.036*b.^2;
  66. %k(6)=k60*k61*exp(15.51-(6.904e+3)/T);
  67. k(6)=k61*1.2845/60;
  68. %反应速率
  69. j=linspace(1,4,4);
  70. i=linspace(1,16,16);

  72. r(i,j,1)=k(1)*c(i,j,1)./(1.4247*c(i,j,1)+4.8419*c(i,j,4)+0.0146);
  73. %--------------------------------------------------------
  74. r(i,j,2)=k(2)*c(i,j,2)./(1.4247*c(i,j,1)+4.8419*c(i,j,4)+0.0146).^0.5254;
  75. %-----------------------------------------------------------
  76. r(i,j,3)=k(3)*c(i,j,3)./(1.4247*c(i,j,1)+4.8419*c(i,j,4)+0.0146);
  77. %-----------------------------------------------------
  78. r(i,j,4)=k(4)*c(i,j,4)./(1.4247*c(i,j,1)+4.8419*c(i,j,4)+0.0146).^0.8111;
  79. %----------------------------------------------------------
  80. r(i,j,5)=k(5)*c(i,j,1)./(1.4247*c(i,j,1)+4.8419*c(i,j,4)+0.0146);
  81. r(i,j,6)=k(6)*c(i,j,6)./(1.4247*c(i,j,1)+4.8419*c(i,j,4)+0.0146).^0.9302;
  82. %----------------------------------------------------------------
  83. %----------------------------------------------------------------
  84. %balancE(i,j,h) E(i,j,h)quation of E(i,j,h)ach cE(i,j,h)ll
  85. h=1;
  86. j=1;
  87. i=1;
  88. E(i,j,h)=Q1*(c(i,j+1,h)-c(i,j,h))-M*r(i,j,1);
  89. i=linspace(2,3,2);
  90. E(i,j,h)=Q1*(c(i-1,j,h)-c(i,j,h))+beta*Q1*(c(i,j+1,h)-c(i,j,h))-M*r(i,j,1);
  91. i=4;
  92. E(i,j,h)=Q1*c(i-1,j,h)+F*c(i+1,j,h)-(Q1+F)*c(i,j,h)+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*r(i,j,1);
  93. i=5;
  94. E(i,j,h)=(Q2+2/3*F)*(c(i+1,j,h)-c(i,j,h))+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))-M*r(i,j,1);
  95. i=linspace(6,7,2);
  96. E(i,j,h)=(Q2+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q2*(c(i,j+1,h)-c(i,j,h))-M*r(i,j,1);
  97. i=8;
  98. E(i,j,h)=(Q2+2/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*r(i,j,1);
  99. %第二个循环与第三个循环之间物料交换采用不同的流量以上一个循环为标准
  100. i=9;
  101. E(i,j,h)=Q3*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))-M*r(i,j,1);
  102. i=linspace(10,11,2);
  103. E(i,j,h)=Q3*(c(i-1,j,h)-c(i,j,h))+beta*Q3*(c(i,j+1,h)-c(i,j,h))-M*r(i,j,1);
  104. i=12;
  105. E(i,j,h)=Q3*c(i-1,j,h)+F*c(i+1,j,h)-(Q3+F)*c(i,j,h)+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*r(i,j,1);
  106. i=13;
  107. E(i,j,h)=(Q4+2/3*F)*(c(i+1,j,h)-c(i,j,h))+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))-M*r(i,j,1);
  108. i=linspace(14,15,2);
  109. E(i,j,h)=(Q4+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q4*(c(i,j+1,h)-c(i,j,h))-M*r(i,j,1);
  110. i=16;
  111. E(i,j,h)=(Q4+2/3*F)*(c(i,j+1,h)-c(i,j,h))-M*r(i,j,1);
  112. %------------------------------------------------------------------------
  113. j=2;
  114. i=1;
  115. E(i,j,h)=Q1*(c(i,j+1,h)-c(i,j,h))+beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*r(i,j,1);
  116. i=2;
  117. E(i,j,h)=Q1*(c(i,j+1,h)-c(i,j,h))+beta*Q1*(c(i-1,j,h)+c(i,j-1,h)-2*c(i,j,h))-M*r(i,j,1);
  118. i=3;
  119. E(i,j,h)=Q1*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q1+1/3*F)*c(i,j,h)+beta*Q1*(c(i,j-1,h)+c(i+1,j,h)-2*c(i,j,h))-M*r(i,j,1);
  120. i=4;
  121. E(i,j,h)=(Q1+F)*(c(i,j-1,h)-c(i,j,h))+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))+beta*Q1*(c(i-1,j,h)-c(i,j,h))-M*r(i,j,1);
  122. i=5;
  123. E(i,j,h)=(Q2-1/3*F)*c(i,j-1,h)+1/3*F*c(i+1,j,h)-Q2*c(i,j,h)+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*r(i,j,1);
  124. i=6;
  125. E(i,j,h)=(Q2+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q2*(c(i,j-1,h)+c(i-1,j,h)-2*c(i,j,h))-M*r(i,j,1);
  126. i=7;
  127. E(i,j,h)=(Q2+1/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i,j-1,h)+c(i+1,j,h)-2*c(i,j,h))-M*r(i,j,1);
  128. i=8;
  129. E(i,j,h)=(Q2+2/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*r(i,j,1);
  130. i=9;
  131. E(i,j,h)=Q3*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*r(i,j,1);
  132. i=10;
  133. E(i,j,h)=Q3*(c(i,j+1,h)-c(i,j,h))+beta*Q3*(c(i-1,j,h)+c(i,j-1,h)-2*c(i,j,h))-M*r(i,j,1);
  134. i=11;
  135. E(i,j,h)=Q3*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q3+1/3*F)*c(i,j,h)+beta*Q3*(c(i,j-1,h)+c(i+1,j,h)-2*c(i,j,h))-M*r(i,j,1);
  136. i=12;
  137. E(i,j,h)=(Q3+F)*(c(i,j-1,h)-c(i,j,h))+beta*Q3*(c(i-1,j,h)-c(i,j,h))+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*r(i,j,1);
  138. i=13;
  139. E(i,j,h)=(Q4-1/3*F)*c(i,j-1,h)+1/3*F*c(i+1,j,h)-Q4*c(i,j,1)+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))+beta*Q4*(c(i+1,j,h)-c(i,j,h))-M*r(i,j,1);
  140. i=14;
  141. E(i,j,h)=(Q4+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)+c(i,j-1,h)-2*c(i,j,h))-M*r(i,j,1);
  142. i=15;
  143. E(i,j,h)=(Q4+1/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q4*(c(i+1,j,h)+c(i,j-1,h)-2*c(i,j,h))-M*r(i,j,1);
  144. i=16;
  145. E(i,j,h)=(Q4+2/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)-c(i,j,h))-M*r(i,j,1);
  146. %-----------------------------------------------------------------------
  147. j=3;
  148. i=1;
  149. E(i,j,h)=1/3*F*c(i+1,j,h)+(Q1-1/3*F)*c(i,j+1,h)-Q1*c(i,j,h)+beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*r(i,j,1);
  150. i=2;
  151. E(i,j,h)=(Q1+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q1*(c(i,j+1,h)+c(i-1,j,h)-2*c(i,j,h))-M*r(i,j,1);
  152. i=3;
  153. E(i,j,h)=(Q1+1/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q1*(c(i+1,j,h)+c(i,j+1,h)-2*c(i,j,h))-M*r(i,j,1);
  154. i=4;
  155. E(i,j,h)=(Q1+2/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q1*(c(i-1,j,h)-c(i,j,h))+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*r(i,j,1);
  156. i=5;
  157. E(i,j,h)=Q2*(c(i,j-1,h)-c(i,j,1))+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*r(i,j,1);
  158. i=6;
  159. E(i,j,h)=Q2*(c(i,j-1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)+c(i,j+1,h)-2*c(i,j,h))-M*r(i,j,1);
  160. i=7;
  161. E(i,j,h)=Q2*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q2+1/3*F)*c(i,j,h)+beta*Q2*(c(i,j+1,h)+c(i+1,j,h)-2*c(i,j,h))-M*r(i,j,1);
  162. i=8;
  163. E(i,j,h)=(Q2+F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*r(i,j,1);
  164. i=9;
  165. E(i,j,h)=(Q3-1/3*F)*c(i,j+1,h)+1/3*F*c(i+1,j,h)-Q3*c(i,j,h)+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*r(i,j,1);
  166. i=10;
  167. E(i,j,h)=(Q3+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q3*(c(i,j+1,h)+c(i-1,j,h)-2*c(i,j,h))-M*r(i,j,1);
  168. i=11;
  169. E(i,j,h)=(Q3+1/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q3*(c(i,j+1,h)+c(i+1,j,h)-2*c(i,j,h))-M*r(i,j,1);
  170. i=12;
  171. E(i,j,h)=(Q3+2/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q3*(c(i-1,j,h)-c(i,j,h))+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*r(i,j,1);
  172. i=13;
  173. E(i,j,h)=Q4*(c(i,j-1,h)-c(i,j,h))+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))+beta*Q4*(c(i+1,j,h)-c(i,j,h))-M*r(i,j,1);
  174. i=14;
  175. E(i,j,h)=Q4*(c(i,j-1,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)+c(i,j+1,h)-2*c(i,j,h))-M*r(i,j,1);
  176. i=15;
  177. E(i,j,h)=Q4*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q4+1/3*F)*c(i,j,h)+beta*Q4*(c(i,j+1,h)+c(i+1,j,h)-2*c(i,j,h))-M*r(i,j,1);
  178. i=16;
  179. E(i,j,h)=(Q4+F)*(c(i,j+1,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)-c(i,j,h))-M*r(i,j,1);
  180. %--------------------------------------------------------------------------
  181. j=4;
  182. i=1;
  183. E(i,j,h)=(Q1+2/3*F)*(c(i+1,j,h)-c(i,j,h))-M*r(i,j,1);%出口处平衡方程
  184. i=linspace(2,3,2);
  185. E(i,j,h)=(Q1+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q1*(c(i,j-1,h)-c(i,j,h))-M*r(i,j,1);
  186. i=4;
  187. E(i,j,h)=(Q1+2/3*F)*(c(i,j-1,h)-c(i,j,h))+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*r(i,j,1);
  188. i=5;
  189. E(i,j,h)=Q2*(c(i,j-1,h)-c(i,j,h))+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))-M*r(i,j,1);
  190. i=linspace(6,7,2);
  191. E(i,j,h)=Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i,j-1,h)-c(i,j,h))-M*r(i,j,1);
  192. i=8;
  193. E(i,j,h)=Q2*c(i-1,j,h)+F*c(i+1,j,h)-(Q2+F)*c(i,j,h)+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*r(i,j,1);
  194. i=9;
  195. E(i,j,h)=(Q3+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))-M*r(i,j,1);
  196. i=linspace(10,11,2);
  197. E(i,j,h)=(Q3+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q3*(c(i,j-1,h)-c(i,j,h))-M*r(i,j,1);
  198. i=12;
  199. E(i,j,h)=(Q3+2/3*F)*(c(i,j-1,h)-c(i,j,h))+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*r(i,j,1);
  200. i=13;
  201. E(i,j,h)=Q4*(c(i,j-1,h)-c(i,j,h))+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))-M*r(i,j,1);
  202. i=linspace(14,15,2);
  203. E(i,j,h)=Q4*(c(i-1,j,h)-c(i,j,h))+beta*Q4*(c(i,j-1,h)-c(i,j,h))-M*r(i,j,1);
  204. i=16;
  205. E(i,j,h)=F*c0+Q4*c(i-1,j,h)-(F+Q4)*c(i,j,h)-M*r(i,j,1);
  206. %------------------------------------------------------------------
  207. h=2;
  208. j=1;
  209. i=1;
  210. E(i,j,h)=Q1*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  211. i=linspace(2,3,2);
  212. E(i,j,h)=Q1*(c(i-1,j,h)-c(i,j,h))+beta*Q1*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  213. i=4;
  214. E(i,j,h)=Q1*c(i-1,j,h)+F*c(i+1,j,h)-(Q1+F)*c(i,j,h)+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  215. i=5;
  216. E(i,j,h)=(Q2+2/3*F)*(c(i+1,j,h)-c(i,j,h))+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  217. i=linspace(6,7,2);
  218. E(i,j,h)=(Q2+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q2*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  219. i=8;
  220. E(i,j,h)=(Q2+2/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  221. %第二个循环与第三个循环之间物料交换采用不同的流量以上一个循环为标准
  222. i=9;
  223. E(i,j,h)=Q3*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  224. i=linspace(10,11,2);
  225. E(i,j,h)=Q3*(c(i-1,j,h)-c(i,j,h))+beta*Q3*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  226. i=12;
  227. E(i,j,h)=Q3*c(i-1,j,h)+F*c(i+1,j,h)-(Q3+F)*c(i,j,h)+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  228. i=13;
  229. E(i,j,h)=(Q4+2/3*F)*(c(i+1,j,h)-c(i,j,h))+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  230. i=linspace(14,15,2);
  231. E(i,j,h)=(Q4+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q4*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  232. i=16;
  233. E(i,j,h)=(Q4+2/3*F)*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  234. %------------------------------------------------------------------------
  235. j=2;
  236. i=1;
  237. E(i,j,h)=Q1*(c(i,j+1,h)-c(i,j,h))+beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  238. i=2;
  239. E(i,j,h)=Q1*(c(i,j+1,h)-c(i,j,h))+beta*Q1*(c(i-1,j,h)+c(i,j-1,h)-2*c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  240. i=3;
  241. E(i,j,h)=Q1*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q1+1/3*F)*c(i,j,h)+beta*Q1*(c(i,j-1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  242. i=4;
  243. E(i,j,h)=(Q1+F)*(c(i,j-1,h)-c(i,j,h))+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))+beta*Q1*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  244. i=5;
  245. E(i,j,h)=(Q2-1/3*F)*c(i,j-1,h)+1/3*F*c(i+1,j,h)-Q2*c(i,j,h)+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  246. i=6;
  247. E(i,j,h)=(Q2+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q2*(c(i,j-1,h)+c(i-1,j,h)-2*c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  248. i=7;
  249. E(i,j,h)=(Q2+1/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i,j-1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  250. i=8;
  251. E(i,j,h)=(Q2+2/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  252. i=9;
  253. E(i,j,h)=Q3*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  254. i=10;
  255. E(i,j,h)=Q3*(c(i,j+1,h)-c(i,j,h))+beta*Q3*(c(i-1,j,h)+c(i,j-1,h)-2*c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  256. i=11;
  257. E(i,j,h)=Q3*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q3+1/3*F)*c(i,j,h)+beta*Q3*(c(i,j-1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  258. i=12;
  259. E(i,j,h)=(Q3+F)*(c(i,j-1,h)-c(i,j,h))+beta*Q3*(c(i-1,j,h)-c(i,j,h))+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  260. i=13;
  261. E(i,j,h)=(Q4-1/3*F)*c(i,j-1,h)+1/3*F*c(i+1,j,h)-Q4*c(i,j,1)+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))+beta*Q4*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  262. i=14;
  263. E(i,j,h)=(Q4+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)+c(i,j-1,h)-2*c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  264. i=15;
  265. E(i,j,h)=(Q4+1/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q4*(c(i+1,j,h)+c(i,j-1,h)-2*c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  266. i=16;
  267. E(i,j,h)=(Q4+2/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  268. %-----------------------------------------------------------------------
  269. j=3;
  270. i=1;
  271. E(i,j,h)=1/3*F*c(i+1,j,h)+(Q1-1/3*F)*c(i,j+1,h)-Q1*c(i,j,h)+beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  272. i=2;
  273. E(i,j,h)=(Q1+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q1*(c(i,j+1,h)+c(i-1,j,h)-2*c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  274. i=3;
  275. E(i,j,h)=(Q1+1/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q1*(c(i+1,j,h)+c(i,j+1,h)-2*c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  276. i=4;
  277. E(i,j,h)=(Q1+2/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q1*(c(i-1,j,h)-c(i,j,h))+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  278. i=5;
  279. E(i,j,h)=Q2*(c(i,j-1,h)-c(i,j,1))+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  280. i=6;
  281. E(i,j,h)=Q2*(c(i,j-1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)+c(i,j+1,h)-2*c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  282. i=7;
  283. E(i,j,h)=Q2*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q2+1/3*F)*c(i,j,h)+beta*Q2*(c(i,j+1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  284. i=8;
  285. E(i,j,h)=(Q2+F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  286. i=9;
  287. E(i,j,h)=(Q3-1/3*F)*c(i,j+1,h)+1/3*F*c(i+1,j,h)-Q3*c(i,j,h)+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  288. i=10;
  289. E(i,j,h)=(Q3+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q3*(c(i,j+1,h)+c(i-1,j,h)-2*c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  290. i=11;
  291. E(i,j,h)=(Q3+1/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q3*(c(i,j+1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  292. i=12;
  293. E(i,j,h)=(Q3+2/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q3*(c(i-1,j,h)-c(i,j,h))+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  294. i=13;
  295. E(i,j,h)=Q4*(c(i,j-1,h)-c(i,j,h))+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))+beta*Q4*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  296. i=14;
  297. E(i,j,h)=Q4*(c(i,j-1,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)+c(i,j+1,h)-2*c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  298. i=15;
  299. E(i,j,h)=Q4*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q4+1/3*F)*c(i,j,h)+beta*Q4*(c(i,j+1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  300. i=16;
  301. E(i,j,h)=(Q4+F)*(c(i,j+1,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  302. %--------------------------------------------------------------------------
  303. j=4;
  304. i=1;
  305. E(i,j,h)=(Q1+2/3*F)*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));%出口处平衡方程
  306. i=linspace(2,3,2);
  307. E(i,j,h)=(Q1+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q1*(c(i,j-1,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  308. i=4;
  309. E(i,j,h)=(Q1+2/3*F)*(c(i,j-1,h)-c(i,j,h))+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  310. i=5;
  311. E(i,j,h)=Q2*(c(i,j-1,h)-c(i,j,h))+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  312. i=linspace(6,7,2);
  313. E(i,j,h)=Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i,j-1,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  314. i=8;
  315. E(i,j,h)=Q2*c(i-1,j,h)+F*c(i+1,j,h)-(Q2+F)*c(i,j,h)+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  316. i=9;
  317. E(i,j,h)=(Q3+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  318. i=linspace(10,11,2);
  319. E(i,j,h)=(Q3+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q3*(c(i,j-1,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  320. i=12;
  321. E(i,j,h)=(Q3+2/3*F)*(c(i,j-1,h)-c(i,j,h))+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  322. i=13;
  323. E(i,j,h)=Q4*(c(i,j-1,h)-c(i,j,h))+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  324. i=linspace(14,15,2);
  325. E(i,j,h)=Q4*(c(i-1,j,h)-c(i,j,h))+beta*Q4*(c(i,j-1,h)-c(i,j,h))-M*(r(i,j,2)-r(i,j,1));
  326. i=16;
  327. E(i,j,h)=F*0+Q4*c(i-1,j,h)-(F+Q4)*c(i,j,h)-M*(r(i,j,2)-r(i,j,1));
  328. %------------------------------------------------------------------
  329. h=3;
  330. j=1;
  331. i=1;
  332. E(i,j,h)=Q1*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  333. i=linspace(2,3,2);
  334. E(i,j,h)=Q1*(c(i-1,j,h)-c(i,j,h))+beta*Q1*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  335. i=4;
  336. E(i,j,h)=Q1*c(i-1,j,h)+F*c(i+1,j,h)-(Q1+F)*c(i,j,h)+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  337. i=5;
  338. E(i,j,h)=(Q2+2/3*F)*(c(i+1,j,h)-c(i,j,h))+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  339. i=linspace(6,7,2);
  340. E(i,j,h)=(Q2+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q2*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  341. i=8;
  342. E(i,j,h)=(Q2+2/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  343. %第二个循环与第三个循环之间物料交换采用不同的流量以上一个循环为标准
  344. i=9;
  345. E(i,j,h)=Q3*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  346. i=linspace(10,11,2);
  347. E(i,j,h)=Q3*(c(i-1,j,h)-c(i,j,h))+beta*Q3*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  348. i=12;
  349. E(i,j,h)=Q3*c(i-1,j,h)+F*c(i+1,j,h)-(Q3+F)*c(i,j,h)+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  350. i=13;
  351. E(i,j,h)=(Q4+2/3*F)*(c(i+1,j,h)-c(i,j,h))+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  352. i=linspace(14,15,2);
  353. E(i,j,h)=(Q4+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q4*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  354. i=16;
  355. E(i,j,h)=(Q4+2/3*F)*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  356. %------------------------------------------------------------------------
  357. j=2;
  358. i=1;
  359. E(i,j,h)=Q1*(c(i,j+1,h)-c(i,j,h))+beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  360. i=2;
  361. E(i,j,h)=Q1*(c(i,j+1,h)-c(i,j,h))+beta*Q1*(c(i-1,j,h)+c(i,j-1,h)-2*c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  362. i=3;
  363. E(i,j,h)=Q1*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q1+1/3*F)*c(i,j,h)+beta*Q1*(c(i,j-1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  364. i=4;
  365. E(i,j,h)=(Q1+F)*(c(i,j-1,h)-c(i,j,h))+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))+beta*Q1*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  366. i=5;
  367. E(i,j,h)=(Q2-1/3*F)*c(i,j-1,h)+1/3*F*c(i+1,j,h)-Q2*c(i,j,h)+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  368. i=6;
  369. E(i,j,h)=(Q2+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q2*(c(i,j-1,h)+c(i-1,j,h)-2*c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  370. i=7;
  371. E(i,j,h)=(Q2+1/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i,j-1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  372. i=8;
  373. E(i,j,h)=(Q2+2/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  374. i=9;
  375. E(i,j,h)=Q3*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  376. i=10;
  377. E(i,j,h)=Q3*(c(i,j+1,h)-c(i,j,h))+beta*Q3*(c(i-1,j,h)+c(i,j-1,h)-2*c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  378. i=11;
  379. E(i,j,h)=Q3*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q3+1/3*F)*c(i,j,h)+beta*Q3*(c(i,j-1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  380. i=12;
  381. E(i,j,h)=(Q3+F)*(c(i,j-1,h)-c(i,j,h))+beta*Q3*(c(i-1,j,h)-c(i,j,h))+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  382. i=13;
  383. E(i,j,h)=(Q4-1/3*F)*c(i,j-1,h)+1/3*F*c(i+1,j,h)-Q4*c(i,j,1)+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))+beta*Q4*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  384. i=14;
  385. E(i,j,h)=(Q4+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)+c(i,j-1,h)-2*c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  386. i=15;
  387. E(i,j,h)=(Q4+1/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q4*(c(i+1,j,h)+c(i,j-1,h)-2*c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  388. i=16;
  389. E(i,j,h)=(Q4+2/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  390. %-----------------------------------------------------------------------
  391. j=3;
  392. i=1;
  393. E(i,j,h)=1/3*F*c(i+1,j,h)+(Q1-1/3*F)*c(i,j+1,h)-Q1*c(i,j,h)+beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  394. i=2;
  395. E(i,j,h)=(Q1+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q1*(c(i,j+1,h)+c(i-1,j,h)-2*c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  396. i=3;
  397. E(i,j,h)=(Q1+1/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q1*(c(i+1,j,h)+c(i,j+1,h)-2*c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  398. i=4;
  399. E(i,j,h)=(Q1+2/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q1*(c(i-1,j,h)-c(i,j,h))+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  400. i=5;
  401. E(i,j,h)=Q2*(c(i,j-1,h)-c(i,j,1))+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  402. i=6;
  403. E(i,j,h)=Q2*(c(i,j-1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)+c(i,j+1,h)-2*c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  404. i=7;
  405. E(i,j,h)=Q2*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q2+1/3*F)*c(i,j,h)+beta*Q2*(c(i,j+1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  406. i=8;
  407. E(i,j,h)=(Q2+F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  408. i=9;
  409. E(i,j,h)=(Q3-1/3*F)*c(i,j+1,h)+1/3*F*c(i+1,j,h)-Q3*c(i,j,h)+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  410. i=10;
  411. E(i,j,h)=(Q3+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q3*(c(i,j+1,h)+c(i-1,j,h)-2*c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  412. i=11;
  413. E(i,j,h)=(Q3+1/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q3*(c(i,j+1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  414. i=12;
  415. E(i,j,h)=(Q3+2/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q3*(c(i-1,j,h)-c(i,j,h))+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  416. i=13;
  417. E(i,j,h)=Q4*(c(i,j-1,h)-c(i,j,h))+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))+beta*Q4*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  418. i=14;
  419. E(i,j,h)=Q4*(c(i,j-1,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)+c(i,j+1,h)-2*c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  420. i=15;
  421. E(i,j,h)=Q4*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q4+1/3*F)*c(i,j,h)+beta*Q4*(c(i,j+1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  422. i=16;
  423. E(i,j,h)=(Q4+F)*(c(i,j+1,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  424. %--------------------------------------------------------------------------
  425. j=4;
  426. i=1;
  427. E(i,j,h)=(Q1+2/3*F)*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));%出口处平衡方程
  428. i=linspace(2,3,2);
  429. E(i,j,h)=(Q1+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q1*(c(i,j-1,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  430. i=4;
  431. E(i,j,h)=(Q1+2/3*F)*(c(i,j-1,h)-c(i,j,h))+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  432. i=5;
  433. E(i,j,h)=Q2*(c(i,j-1,h)-c(i,j,h))+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  434. i=linspace(6,7,2);
  435. E(i,j,h)=Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i,j-1,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  436. i=8;
  437. E(i,j,h)=Q2*c(i-1,j,h)+F*c(i+1,j,h)-(Q2+F)*c(i,j,h)+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  438. i=9;
  439. E(i,j,h)=(Q3+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  440. i=linspace(10,11,2);
  441. E(i,j,h)=(Q3+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q3*(c(i,j-1,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  442. i=12;
  443. E(i,j,h)=(Q3+2/3*F)*(c(i,j-1,h)-c(i,j,h))+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  444. i=13;
  445. E(i,j,h)=Q4*(c(i,j-1,h)-c(i,j,h))+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  446. i=linspace(14,15,2);
  447. E(i,j,h)=Q4*(c(i-1,j,h)-c(i,j,h))+beta*Q4*(c(i,j-1,h)-c(i,j,h))-M*(r(i,j,3)-r(i,j,2));
  448. i=16;
  449. E(i,j,h)=F*0+Q4*c(i-1,j,h)-(F+Q4)*c(i,j,h)-M*(r(i,j,3)-r(i,j,2));
  450. %------------------------------------------------------------------
  451. h=4;
  452. j=1;
  453. i=1;
  454. E(i,j,h)=Q1*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  455. i=linspace(2,3,2);
  456. E(i,j,h)=Q1*(c(i-1,j,h)-c(i,j,h))+beta*Q1*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  457. i=4;
  458. E(i,j,h)=Q1*c(i-1,j,h)+F*c(i+1,j,h)-(Q1+F)*c(i,j,h)+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  459. i=5;
  460. E(i,j,h)=(Q2+2/3*F)*(c(i+1,j,h)-c(i,j,h))+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  461. i=linspace(6,7,2);
  462. E(i,j,h)=(Q2+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q2*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  463. i=8;
  464. E(i,j,h)=(Q2+2/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  465. %第二个循环与第三个循环之间物料交换采用不同的流量以上一个循环为标准
  466. i=9;
  467. E(i,j,h)=Q3*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  468. i=linspace(10,11,2);
  469. E(i,j,h)=Q3*(c(i-1,j,h)-c(i,j,h))+beta*Q3*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  470. i=12;
  471. E(i,j,h)=Q3*c(i-1,j,h)+F*c(i+1,j,h)-(Q3+F)*c(i,j,h)+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  472. i=13;
  473. E(i,j,h)=(Q4+2/3*F)*(c(i+1,j,h)-c(i,j,h))+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  474. i=linspace(14,15,2);
  475. E(i,j,h)=(Q4+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q4*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  476. i=16;
  477. E(i,j,h)=(Q4+2/3*F)*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  478. %------------------------------------------------------------------------
  479. j=2;
  480. i=1;
  481. E(i,j,h)=Q1*(c(i,j+1,h)-c(i,j,h))+beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  482. i=2;
  483. E(i,j,h)=Q1*(c(i,j+1,h)-c(i,j,h))+beta*Q1*(c(i-1,j,h)+c(i,j-1,h)-2*c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  484. i=3;
  485. E(i,j,h)=Q1*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q1+1/3*F)*c(i,j,h)+beta*Q1*(c(i,j-1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  486. i=4;
  487. E(i,j,h)=(Q1+F)*(c(i,j-1,h)-c(i,j,h))+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))+beta*Q1*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  488. i=5;
  489. E(i,j,h)=(Q2-1/3*F)*c(i,j-1,h)+1/3*F*c(i+1,j,h)-Q2*c(i,j,h)+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  490. i=6;
  491. E(i,j,h)=(Q2+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q2*(c(i,j-1,h)+c(i-1,j,h)-2*c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  492. i=7;
  493. E(i,j,h)=(Q2+1/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i,j-1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  494. i=8;
  495. E(i,j,h)=(Q2+2/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  496. i=9;
  497. E(i,j,h)=Q3*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  498. i=10;
  499. E(i,j,h)=Q3*(c(i,j+1,h)-c(i,j,h))+beta*Q3*(c(i-1,j,h)+c(i,j-1,h)-2*c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  500. i=11;
  501. E(i,j,h)=Q3*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q3+1/3*F)*c(i,j,h)+beta*Q3*(c(i,j-1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  502. i=12;
  503. E(i,j,h)=(Q3+F)*(c(i,j-1,h)-c(i,j,h))+beta*Q3*(c(i-1,j,h)-c(i,j,h))+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  504. i=13;
  505. E(i,j,h)=(Q4-1/3*F)*c(i,j-1,h)+1/3*F*c(i+1,j,h)-Q4*c(i,j,1)+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))+beta*Q4*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  506. i=14;
  507. E(i,j,h)=(Q4+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)+c(i,j-1,h)-2*c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  508. i=15;
  509. E(i,j,h)=(Q4+1/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q4*(c(i+1,j,h)+c(i,j-1,h)-2*c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  510. i=16;
  511. E(i,j,h)=(Q4+2/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  512. %-----------------------------------------------------------------------
  513. j=3;
  514. i=1;
  515. E(i,j,h)=1/3*F*c(i+1,j,h)+(Q1-1/3*F)*c(i,j+1,h)-Q1*c(i,j,h)+beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  516. i=2;
  517. E(i,j,h)=(Q1+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q1*(c(i,j+1,h)+c(i-1,j,h)-2*c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  518. i=3;
  519. E(i,j,h)=(Q1+1/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q1*(c(i+1,j,h)+c(i,j+1,h)-2*c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  520. i=4;
  521. E(i,j,h)=(Q1+2/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q1*(c(i-1,j,h)-c(i,j,h))+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  522. i=5;
  523. E(i,j,h)=Q2*(c(i,j-1,h)-c(i,j,1))+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  524. i=6;
  525. E(i,j,h)=Q2*(c(i,j-1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)+c(i,j+1,h)-2*c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  526. i=7;
  527. E(i,j,h)=Q2*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q2+1/3*F)*c(i,j,h)+beta*Q2*(c(i,j+1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  528. i=8;
  529. E(i,j,h)=(Q2+F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  530. i=9;
  531. E(i,j,h)=(Q3-1/3*F)*c(i,j+1,h)+1/3*F*c(i+1,j,h)-Q3*c(i,j,h)+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  532. i=10;
  533. E(i,j,h)=(Q3+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q3*(c(i,j+1,h)+c(i-1,j,h)-2*c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  534. i=11;
  535. E(i,j,h)=(Q3+1/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q3*(c(i,j+1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  536. i=12;
  537. E(i,j,h)=(Q3+2/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q3*(c(i-1,j,h)-c(i,j,h))+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  538. i=13;
  539. E(i,j,h)=Q4*(c(i,j-1,h)-c(i,j,h))+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))+beta*Q4*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  540. i=14;
  541. E(i,j,h)=Q4*(c(i,j-1,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)+c(i,j+1,h)-2*c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  542. i=15;
  543. E(i,j,h)=Q4*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q4+1/3*F)*c(i,j,h)+beta*Q4*(c(i,j+1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  544. i=16;
  545. E(i,j,h)=(Q4+F)*(c(i,j+1,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  546. %--------------------------------------------------------------------------
  547. j=4;
  548. i=1;
  549. E(i,j,h)=(Q1+2/3*F)*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));%出口处平衡方程
  550. i=linspace(2,3,2);
  551. E(i,j,h)=(Q1+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q1*(c(i,j-1,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  552. i=4;
  553. E(i,j,h)=(Q1+2/3*F)*(c(i,j-1,h)-c(i,j,h))+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  554. i=5;
  555. E(i,j,h)=Q2*(c(i,j-1,h)-c(i,j,h))+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  556. i=linspace(6,7,2);
  557. E(i,j,h)=Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i,j-1,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  558. i=8;
  559. E(i,j,h)=Q2*c(i-1,j,h)+F*c(i+1,j,h)-(Q2+F)*c(i,j,h)+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  560. i=9;
  561. E(i,j,h)=(Q3+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  562. i=linspace(10,11,2);
  563. E(i,j,h)=(Q3+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q3*(c(i,j-1,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  564. i=12;
  565. E(i,j,h)=(Q3+2/3*F)*(c(i,j-1,h)-c(i,j,h))+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  566. i=13;
  567. E(i,j,h)=Q4*(c(i,j-1,h)-c(i,j,h))+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  568. i=linspace(14,15,2);
  569. E(i,j,h)=Q4*(c(i-1,j,h)-c(i,j,h))+beta*Q4*(c(i,j-1,h)-c(i,j,h))-M*(r(i,j,4)-r(i,j,3));
  570. i=16;
  571. E(i,j,h)=F*0+Q4*c(i-1,j,h)-(F+Q4)*c(i,j,h)-M*(r(i,j,4)-r(i,j,3));
  572. %------------------------------------------------------------------
  573. h=5;
  574. j=1;
  575. i=1;
  576. E(i,j,h)=Q1*(c(i,j+1,h)-c(i,j,h))+M*r(i,j,4);
  577. i=linspace(2,3,2);
  578. E(i,j,h)=Q1*(c(i-1,j,h)-c(i,j,h))+beta*Q1*(c(i,j+1,h)-c(i,j,h))+M*r(i,j,4);
  579. i=4;
  580. E(i,j,h)=Q1*c(i-1,j,h)+F*c(i+1,j,h)-(Q1+F)*c(i,j,h)+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))+M*r(i,j,4);
  581. i=5;
  582. E(i,j,h)=(Q2+2/3*F)*(c(i+1,j,h)-c(i,j,h))+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))+M*r(i,j,4);
  583. i=linspace(6,7,2);
  584. E(i,j,h)=(Q2+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q2*(c(i,j+1,h)-c(i,j,h))+M*r(i,j,4);
  585. i=8;
  586. E(i,j,h)=(Q2+2/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))+M*r(i,j,4);
  587. %第二个循环与第三个循环之间物料交换采用不同的流量以上一个循环为标准
  588. i=9;
  589. E(i,j,h)=Q3*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))+M*r(i,j,4);
  590. i=linspace(10,11,2);
  591. E(i,j,h)=Q3*(c(i-1,j,h)-c(i,j,h))+beta*Q3*(c(i,j+1,h)-c(i,j,h))+M*r(i,j,4);
  592. i=12;
  593. E(i,j,h)=Q3*c(i-1,j,h)+F*c(i+1,j,h)-(Q3+F)*c(i,j,h)+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))+M*r(i,j,4);
  594. i=13;
  595. E(i,j,h)=(Q4+2/3*F)*(c(i+1,j,h)-c(i,j,h))+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))+M*r(i,j,4);
  596. i=linspace(14,15,2);
  597. E(i,j,h)=(Q4+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q4*(c(i,j+1,h)-c(i,j,h))+M*r(i,j,4);
  598. i=16;
  599. E(i,j,h)=(Q4+2/3*F)*(c(i,j+1,h)-c(i,j,h))+M*r(i,j,4);
  600. %------------------------------------------------------------------------
  601. j=2;
  602. i=1;
  603. E(i,j,h)=Q1*(c(i,j+1,h)-c(i,j,h))+beta*Q1*(c(i+1,j,h)-c(i,j,h))+M*r(i,j,4);
  604. i=2;
  605. E(i,j,h)=Q1*(c(i,j+1,h)-c(i,j,h))+beta*Q1*(c(i-1,j,h)+c(i,j-1,h)-2*c(i,j,h))+M*r(i,j,4);
  606. i=3;
  607. E(i,j,h)=Q1*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q1+1/3*F)*c(i,j,h)+beta*Q1*(c(i,j-1,h)+c(i+1,j,h)-2*c(i,j,h))+M*r(i,j,4);
  608. i=4;
  609. E(i,j,h)=(Q1+F)*(c(i,j-1,h)-c(i,j,h))+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))+beta*Q1*(c(i-1,j,h)-c(i,j,h))+M*r(i,j,4);
  610. i=5;
  611. E(i,j,h)=(Q2-1/3*F)*c(i,j-1,h)+1/3*F*c(i+1,j,h)-Q2*c(i,j,h)+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))+M*r(i,j,4);
  612. i=6;
  613. E(i,j,h)=(Q2+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q2*(c(i,j-1,h)+c(i-1,j,h)-2*c(i,j,h))+M*r(i,j,4);
  614. i=7;
  615. E(i,j,h)=(Q2+1/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i,j-1,h)+c(i+1,j,h)-2*c(i,j,h))+M*r(i,j,4);
  616. i=8;
  617. E(i,j,h)=(Q2+2/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))+M*r(i,j,4);
  618. i=9;
  619. E(i,j,h)=Q3*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q3*(c(i+1,j,h)-c(i,j,h))+M*r(i,j,4);
  620. i=10;
  621. E(i,j,h)=Q3*(c(i,j+1,h)-c(i,j,h))+beta*Q3*(c(i-1,j,h)+c(i,j-1,h)-2*c(i,j,h))+M*r(i,j,4);
  622. i=11;
  623. E(i,j,h)=Q3*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q3+1/3*F)*c(i,j,h)+beta*Q3*(c(i,j-1,h)+c(i+1,j,h)-2*c(i,j,h))+M*r(i,j,4);
  624. i=12;
  625. E(i,j,h)=(Q3+F)*(c(i,j-1,h)-c(i,j,h))+beta*Q3*(c(i-1,j,h)-c(i,j,h))+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))+M*r(i,j,4);
  626. i=13;
  627. E(i,j,h)=(Q4-1/3*F)*c(i,j-1,h)+1/3*F*c(i+1,j,h)-Q4*c(i,j,1)+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))+beta*Q4*(c(i+1,j,h)-c(i,j,h))+M*r(i,j,4);
  628. i=14;
  629. E(i,j,h)=(Q4+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)+c(i,j-1,h)-2*c(i,j,h))+M*r(i,j,4);
  630. i=15;
  631. E(i,j,h)=(Q4+1/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q4*(c(i+1,j,h)+c(i,j-1,h)-2*c(i,j,h))+M*r(i,j,4);
  632. i=16;
  633. E(i,j,h)=(Q4+2/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)-c(i,j,h))+M*r(i,j,4);
  634. %-----------------------------------------------------------------------
  635. j=3;
  636. i=1;
  637. E(i,j,h)=1/3*F*c(i+1,j,h)+(Q1-1/3*F)*c(i,j+1,h)-Q1*c(i,j,h)+beta*Q1*(c(i+1,j,h)-c(i,j,h))+M*r(i,j,4);
  638. i=2;
  639. E(i,j,h)=(Q1+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q1*(c(i,j+1,h)+c(i-1,j,h)-2*c(i,j,h))+M*r(i,j,4);
  640. i=3;
  641. E(i,j,h)=(Q1+1/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q1*(c(i+1,j,h)+c(i,j+1,h)-2*c(i,j,h))+M*r(i,j,4);
  642. i=4;
  643. E(i,j,h)=(Q1+2/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q1*(c(i-1,j,h)-c(i,j,h))+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))+M*r(i,j,4);
  644. i=5;
  645. E(i,j,h)=Q2*(c(i,j-1,h)-c(i,j,1))+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))+M*r(i,j,4);
  646. i=6;
  647. E(i,j,h)=Q2*(c(i,j-1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)+c(i,j+1,h)-2*c(i,j,h))+M*r(i,j,4);
  648. i=7;
  649. E(i,j,h)=Q2*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q2+1/3*F)*c(i,j,h)+beta*Q2*(c(i,j+1,h)+c(i+1,j,h)-2*c(i,j,h))+M*r(i,j,4);
  650. i=8;
  651. E(i,j,h)=(Q2+F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))+M*r(i,j,4);
  652. i=9;
  653. E(i,j,h)=(Q3-1/3*F)*c(i,j+1,h)+1/3*F*c(i+1,j,h)-Q3*c(i,j,h)+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q3*(c(i+1,j,h)-c(i,j,h))+M*r(i,j,4);
  654. i=10;
  655. E(i,j,h)=(Q3+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q3*(c(i,j+1,h)+c(i-1,j,h)-2*c(i,j,h))+M*r(i,j,4);
  656. i=11;
  657. E(i,j,h)=(Q3+1/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q3*(c(i,j+1,h)+c(i+1,j,h)-2*c(i,j,h))+M*r(i,j,4);
  658. i=12;
  659. E(i,j,h)=(Q3+2/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q3*(c(i-1,j,h)-c(i,j,h))+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))+M*r(i,j,4);
  660. i=13;
  661. E(i,j,h)=Q4*(c(i,j-1,h)-c(i,j,h))+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))+beta*Q4*(c(i+1,j,h)-c(i,j,h))+M*r(i,j,4);
  662. i=14;
  663. E(i,j,h)=Q4*(c(i,j-1,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)+c(i,j+1,h)-2*c(i,j,h))+M*r(i,j,4);
  664. i=15;
  665. E(i,j,h)=Q4*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q4+1/3*F)*c(i,j,h)+beta*Q4*(c(i,j+1,h)+c(i+1,j,h)-2*c(i,j,h))+M*r(i,j,4);
  666. i=16;
  667. E(i,j,h)=(Q4+F)*(c(i,j+1,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)-c(i,j,h))+M*r(i,j,4);
  668. %--------------------------------------------------------------------------
  669. j=4;
  670. i=1;
  671. E(i,j,h)=(Q1+2/3*F)*(c(i+1,j,h)-c(i,j,h))+M*r(i,j,4);%出口处平衡方程
  672. i=linspace(2,3,2);
  673. E(i,j,h)=(Q1+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q1*(c(i,j-1,h)-c(i,j,h))+M*r(i,j,4);
  674. i=4;
  675. E(i,j,h)=(Q1+2/3*F)*(c(i,j-1,h)-c(i,j,h))+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))+M*r(i,j,4);
  676. i=5;
  677. E(i,j,h)=Q2*(c(i,j-1,h)-c(i,j,h))+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))+M*r(i,j,4);
  678. i=linspace(6,7,2);
  679. E(i,j,h)=Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i,j-1,h)-c(i,j,h))+M*r(i,j,4);
  680. i=8;
  681. E(i,j,h)=Q2*c(i-1,j,h)+F*c(i+1,j,h)-(Q2+F)*c(i,j,h)+beta*Q2*(c(i+1,j,h)-c(i,j,h))+M*r(i,j,4);
  682. i=9;
  683. E(i,j,h)=(Q3+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))+M*r(i,j,4);
  684. i=linspace(10,11,2);
  685. E(i,j,h)=(Q3+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q3*(c(i,j-1,h)-c(i,j,h))+M*r(i,j,4);
  686. i=12;
  687. E(i,j,h)=(Q3+2/3*F)*(c(i,j-1,h)-c(i,j,h))+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))+M*r(i,j,4);
  688. i=13;
  689. E(i,j,h)=Q4*(c(i,j-1,h)-c(i,j,h))+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))+M*r(i,j,4);
  690. i=linspace(14,15,2);
  691. E(i,j,h)=Q4*(c(i-1,j,h)-c(i,j,h))+beta*Q4*(c(i,j-1,h)-c(i,j,h))+M*r(i,j,4);
  692. i=16;
  693. E(i,j,h)=F*0+Q4*c(i-1,j,h)-(F+Q4)*c(i,j,h)+M*r(i,j,4);
  694. %--------------------------------------------------------
  695. h=6;
  696. j=1;
  697. i=1;
  698. E(i,j,h)=Q1*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  699. i=linspace(2,3,2);
  700. E(i,j,h)=Q1*(c(i-1,j,h)-c(i,j,h))+beta*Q1*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  701. i=4;
  702. E(i,j,h)=Q1*c(i-1,j,h)+F*c(i+1,j,h)-(Q1+F)*c(i,j,h)+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  703. i=5;
  704. E(i,j,h)=(Q2+2/3*F)*(c(i+1,j,h)-c(i,j,h))+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  705. i=linspace(6,7,2);
  706. E(i,j,h)=(Q2+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q2*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  707. i=8;
  708. E(i,j,h)=(Q2+2/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  709. %第二个循环与第三个循环之间物料交换采用不同的流量以上一个循环为标准
  710. i=9;
  711. E(i,j,h)=Q3*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  712. i=linspace(10,11,2);
  713. E(i,j,h)=Q3*(c(i-1,j,h)-c(i,j,h))+beta*Q3*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  714. i=12;
  715. E(i,j,h)=Q3*c(i-1,j,h)+F*c(i+1,j,h)-(Q3+F)*c(i,j,h)+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  716. i=13;
  717. E(i,j,h)=(Q4+2/3*F)*(c(i+1,j,h)-c(i,j,h))+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  718. i=linspace(14,15,2);
  719. E(i,j,h)=(Q4+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q4*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  720. i=16;
  721. E(i,j,h)=(Q4+2/3*F)*(c(i,j+1,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  722. %------------------------------------------------------------------------
  723. j=2;
  724. i=1;
  725. E(i,j,h)=Q1*(c(i,j+1,h)-c(i,j,h))+beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  726. i=2;
  727. E(i,j,h)=Q1*(c(i,j+1,h)-c(i,j,h))+beta*Q1*(c(i-1,j,h)+c(i,j-1,h)-2*c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  728. i=3;
  729. E(i,j,h)=Q1*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q1+1/3*F)*c(i,j,h)+beta*Q1*(c(i,j-1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  730. i=4;
  731. E(i,j,h)=(Q1+F)*(c(i,j-1,h)-c(i,j,h))+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))+beta*Q1*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  732. i=5;
  733. E(i,j,h)=(Q2-1/3*F)*c(i,j-1,h)+1/3*F*c(i+1,j,h)-Q2*c(i,j,h)+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  734. i=6;
  735. E(i,j,h)=(Q2+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q2*(c(i,j-1,h)+c(i-1,j,h)-2*c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  736. i=7;
  737. E(i,j,h)=(Q2+1/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i,j-1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  738. i=8;
  739. E(i,j,h)=(Q2+2/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  740. i=9;
  741. E(i,j,h)=Q3*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  742. i=10;
  743. E(i,j,h)=Q3*(c(i,j+1,h)-c(i,j,h))+beta*Q3*(c(i-1,j,h)+c(i,j-1,h)-2*c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  744. i=11;
  745. E(i,j,h)=Q3*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q3+1/3*F)*c(i,j,h)+beta*Q3*(c(i,j-1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  746. i=12;
  747. E(i,j,h)=(Q3+F)*(c(i,j-1,h)-c(i,j,h))+beta*Q3*(c(i-1,j,h)-c(i,j,h))+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  748. i=13;
  749. E(i,j,h)=(Q4-1/3*F)*c(i,j-1,h)+1/3*F*c(i+1,j,h)-Q4*c(i,j,1)+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))+beta*Q4*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  750. i=14;
  751. E(i,j,h)=(Q4+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)+c(i,j-1,h)-2*c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  752. i=15;
  753. E(i,j,h)=(Q4+1/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q4*(c(i+1,j,h)+c(i,j-1,h)-2*c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  754. i=16;
  755. E(i,j,h)=(Q4+2/3*F)*(c(i,j+1,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  756. %-----------------------------------------------------------------------
  757. j=3;
  758. i=1;
  759. E(i,j,h)=1/3*F*c(i+1,j,h)+(Q1-1/3*F)*c(i,j+1,h)-Q1*c(i,j,h)+beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  760. i=2;
  761. E(i,j,h)=(Q1+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q1*(c(i,j+1,h)+c(i-1,j,h)-2*c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  762. i=3;
  763. E(i,j,h)=(Q1+1/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q1*(c(i+1,j,h)+c(i,j+1,h)-2*c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  764. i=4;
  765. E(i,j,h)=(Q1+2/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q1*(c(i-1,j,h)-c(i,j,h))+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  766. i=5;
  767. E(i,j,h)=Q2*(c(i,j-1,h)-c(i,j,1))+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  768. i=6;
  769. E(i,j,h)=Q2*(c(i,j-1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)+c(i,j+1,h)-2*c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  770. i=7;
  771. E(i,j,h)=Q2*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q2+1/3*F)*c(i,j,h)+beta*Q2*(c(i,j+1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  772. i=8;
  773. E(i,j,h)=(Q2+F)*(c(i,j+1,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  774. i=9;
  775. E(i,j,h)=(Q3-1/3*F)*c(i,j+1,h)+1/3*F*c(i+1,j,h)-Q3*c(i,j,h)+beta*Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  776. i=10;
  777. E(i,j,h)=(Q3+1/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q3*(c(i,j+1,h)+c(i-1,j,h)-2*c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  778. i=11;
  779. E(i,j,h)=(Q3+1/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q3*(c(i,j+1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  780. i=12;
  781. E(i,j,h)=(Q3+2/3*F)*(c(i,j-1,h)-c(i,j,h))+beta*Q3*(c(i-1,j,h)-c(i,j,h))+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  782. i=13;
  783. E(i,j,h)=Q4*(c(i,j-1,h)-c(i,j,h))+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))+beta*Q4*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  784. i=14;
  785. E(i,j,h)=Q4*(c(i,j-1,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)+c(i,j+1,h)-2*c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  786. i=15;
  787. E(i,j,h)=Q4*c(i-1,j,h)+1/3*F*c(i+1,j,h)-(Q4+1/3*F)*c(i,j,h)+beta*Q4*(c(i,j+1,h)+c(i+1,j,h)-2*c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  788. i=16;
  789. E(i,j,h)=(Q4+F)*(c(i,j+1,h)-c(i,j,h))+beta*Q4*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  790. %--------------------------------------------------------------------------
  791. j=4;
  792. i=1;
  793. E(i,j,h)=(Q1+2/3*F)*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));%出口处平衡方程
  794. i=linspace(2,3,2);
  795. E(i,j,h)=(Q1+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q1*(c(i,j-1,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  796. i=4;
  797. E(i,j,h)=(Q1+2/3*F)*(c(i,j-1,h)-c(i,j,h))+10*beta*Q1*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  798. i=5;
  799. E(i,j,h)=Q2*(c(i,j-1,h)-c(i,j,h))+10*beta*Q1*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  800. i=linspace(6,7,2);
  801. E(i,j,h)=Q2*(c(i-1,j,h)-c(i,j,h))+beta*Q2*(c(i,j-1,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  802. i=8;
  803. E(i,j,h)=Q2*c(i-1,j,h)+F*c(i+1,j,h)-(Q2+F)*c(i,j,h)+beta*Q2*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  804. i=9;
  805. E(i,j,h)=(Q3+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q2*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  806. i=linspace(10,11,2);
  807. E(i,j,h)=(Q3+2/3*F)*(c(i+1,j,h)-c(i,j,h))+beta*Q3*(c(i,j-1,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  808. i=12;
  809. E(i,j,h)=(Q3+2/3*F)*(c(i,j-1,h)-c(i,j,h))+10*beta*Q3*(c(i+1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  810. i=13;
  811. E(i,j,h)=Q4*(c(i,j-1,h)-c(i,j,h))+10*beta*Q3*(c(i-1,j,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  812. i=linspace(14,15,2);
  813. E(i,j,h)=Q4*(c(i-1,j,h)-c(i,j,h))+beta*Q4*(c(i,j-1,h)-c(i,j,h))-M*(r(i,j,6)-r(i,j,5));
  814. i=16;
  815. E(i,j,h)=F*0+Q4*c(i-1,j,h)-(F+Q4)*c(i,j,h)-M*(r(i,j,6)-r(i,j,5));
  816. %--------------------------------------------------------------------------

  818. E=E(:);
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[ 本帖最后由 风花雪月 于 2006-11-12 07:50 编辑 ]
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飞天踏雪
 楼主| 发表于 2006-8-7 16:36 | 显示全部楼层
小弟在版上谢过了
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VibInfo
发表于 2006-8-12 08:10 | 显示全部楼层
这类问题一般都都自己编程计算的，不过收敛性一般都不太高，你可以试试同轮算法之类的
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