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#include <math.h>
#include <stdio.h>
#define NT 70
void main()
{
/*¶¨Òå±äÁ¿*/
   int N,M,i,j,Iter;
   double W[NT][NT],W0[NT][NT],sita[NT][NT],sita0[NT][NT],T[NT][NT],De,Re,Nu;
   double dltx,dlty,dx,dy,Wm,D,x,y,a,b;
   double Eps,DT,DTmax,SD;
   double ap,aw,ae,as,an,JF,b1,b2,JA,ap1;
   FILE*fp;

/*¶ÁÈë²ÎÊý*/
   printf("ÇëÊäÈëx·½Ïò½ÚµãÊýN y·½Ïò½ÚµãÊýM\n";
   scanf("%d%d",&N,&M);
   printf("ÇëÊäÈë½çÃæ³¤¶Èa ½çÃæ¿í¶Èb\n";
   scanf("%lf%lf",&a,&b);
   
/*ÒÑÖª²ÎÊý*/
   SD=0;
   JF=0;
   dltx=a;
   dlty=b;
   De=2*dltx*dlty/(dltx+dlty);
   D=a;/*ÌØÕ÷³ß´ç*/
   N;
   M;
   Eps=1.e-6;/*¼ÆË㾫¶È*/

/*»ù±¾²ÎÊý*/
   dx=dltx/(N-1);
   dy=dlty/(M-1);
   ae=aw=dy/dx;
   an=as=dx/dy;

/*Ëٶȱ߽çÌõ¼þ´¦Àí*/
   /*¹ÌÌå±íÃæËÙ¶ÈΪ0Öµ*/
for(j=0;j<M;j++)
  {
   W[0][j]=0;
   W[N-1][j]=0;
}
for(i=1;i<N-1;i++)
{
   W[0]=0;
   W[M-1]=0;
}
   /*Ëٶȳ¡¸³³õÖµ*/
for(j=1;j<M-1;j++)
  for(i=1;i<N-1;i++)
{
W[j]=0.00008;
W0[j]=W[j];/*¶ÔÉÏÒ»´Îµü´úÖµ¸³Öµ*/
}
Iter=0;
/*Gauss-Seidelµü´ú¼ÆËãËÙ¶È*/
  loop1:
for(j=1;j<M-1;j++)
{
for(i=1;i<N-1;i++)
  {
  ap=ae+aw+an+as;
   b1=(dx*dy)/(D*D);
W[j]=ae/ap*W[i+1][j]+aw/ap*W[i-1][j]+an/ap*W[j+1]+as/ap*W[j-1]+b1/ap;
}
}
/*¼ÆËãÁ½´Îµü´ú×î´óÎó²î*/
Iter=Iter+1;
DTmax=0.0;
for(j=1;j<M-1;j++)
  for(i=1;i<N-1;i++)
{
DT=fabs(W[j]-W0[j]);
W0[j]=W[j];
if(DT>DTmax)
DTmax=DT;
}
if(DTmax>Eps)
goto loop1;

for(j=1;j<M-1;j++)
for(i=1;i<N-1;i++)
{
SD+=W[j]*dx*dy;
}
Wm=SD/(a*b);
printf("ÎÞÁ¿¸ÙËÙ¶ÈÆ½¾ùÖµ:\n";
printf("Wm=%5.6f\n",Wm);

/*±ß½çÌõ¼þ´¦Àí*/
   /*¹ÌÌå±íÃæÎÞÁ¿¸ÙΪ0,È¡T=JA*sita½øÐеü´úÇóJA*/
for(j=0;j<M;j++)
  {
   sita[0][j]=0;
   sita[N-1][j]=0;
}
for(i=1;i<N-1;i++)
{
   sita[0]=0;
   sita[M-1]=0;
}
   /*sita³¡¸³³õÖµ*/
for(j=1;j<M-1;j++)
  for(i=1;i<N-1;i++)
{
sita[j]=0.003;
sita0[j]=sita[j];/*¶ÔÉÏÒ»´Îµü´úÖµ¸³Öµ*/
}


Iter=0;
/*Gauss-Seidelµü´ú¼ÆËã*/
loop2:
for(j=1;j<M-1;j++)
{
        for(i=1;i<N-1;i++)
{
JF+=W[j]*sita[j];
}
}
JA=a*b/JF/Wm;
for(j=1;j<M-1;j++)
for(i=1;i<N-1;i++)
{
b2=dx*dy*JA*W[j]/(D*D*Wm);
ap1=ap-b2;
sita[j]=ae/ap1*sita[i+1][j]+aw/ap1*sita[i-1][j]+an/ap1*sita[j+1]+as/ap1*sita[j-1];
}

/*¼ÆËãÁ½´Îµü´ú×î´óÎó²î*/
Iter=Iter+1;
DTmax=0.0;
for(j=1;j<M-1;j++)
  for(i=1;i<N-1;i++)
{
DT=fabs(sita[j]-sita0[j]);
sita0[j]=sita[j];
if(DT>DTmax)
DTmax=DT;
}
if(DTmax>Eps)
goto loop2;

/*Re¼ÆËã*/
printf("ReÊýΪ:\n";
Re=2*(De/D)*(De/D)/Wm;
printf("%5.6f\n",Re);

/*Nu¼ÆËã*/
printf("NuÊýΪ:\n";
Nu=0.25*(De/D)*(De/D)*JA;
printf("%5.6f\n",Nu);

for(j=1;j<M-1;j++)
  for(i=1;i<N-1;i++)
  {
          T[j]=JA*sita[j];
  }

  fp=fopen("result.dat","w";
  printf("ÎÞÁ¿¸ÙζÈ:\n";
  for(j=M-1;j>=0;j--)
  {
          for(i=0;i<N;i++)
          {
                  fprintf(fp,"%5.6f",T[j]);
          }
          printf("\n";
  }
  fclose(fp);
}

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