东南大学传热学二维稳态差分接点计算论文
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二维稳态计算实验报告
王## 能源与环境学院03012###一、题目要求
二、各节点离散化代数方程
取研究节点为t(i,j)，其上部节点温度用T表示，下部节点温度用B表示，左侧节点温度用L表示，右侧节点温度用R表示。该题目各节点离散化代数方程可分为四个区域：
区域一：
t(i,j)=
区域二：
t(i,j)=t i-1,j+t i,j-1+t i+1,j+t i,j+1
4
区域三：
t(i,j)=
区域四：
t(i,j)=
三、源程序
Jacobi迭代计算代码（C#）：
for (int n = 0; n < 6; n++)
{
mg0[m, n] = new Button();
mg0[m, n].Text = mg[m, n].Text.ToString ();
}
for (int m = 1; m < 4; m++)
{
int n = 1;
double t = Convert.ToDouble(mg0[m - 1, n].Text.ToString()); double b = Convert.ToDouble(mg0[m + 1, n].Text.ToString()); double l = Convert.ToDouble(mg0[m, n - 1].Text.ToString()); double r = Convert.ToDouble(mg0[m, n + 1].Text.ToString()); double center = (200 + t + 2*r + b) / 24;
mg[m, n].Text =center.ToString();
mg[m, n].BackColor = Color.LightBlue;
}
for (int m = 1; m < 4; m++)
{
for (int n = 2; n < 5; n++)
{
double t = Convert.ToDouble(mg0[m - 1,n].Text.ToString()); double b = Convert.ToDouble(mg0[m + 1, n].Text.ToString()); double l = Convert.ToDouble(mg0[m, n - 1].Text.ToString()); double r = Convert.ToDouble(mg0[m, n + 1].Text.ToString()); double center = (l + t + r + b) / 4;
mg[m, n].Text =center.ToString();
mg[m, n].BackColor = Color.LightBlue;
}
}
for (int m = 4; m < 5; m++)
{
int n = 1;
double t = Convert.ToDouble(mg0[m - 1, n].Text.ToString());
double l = Convert.ToDouble(mg0[m, n - 1].Text.ToString()); double r = Convert.ToDouble(mg0[m, n + 1].Text.ToString()); double center = (100 + t + r) / 12;
mg[m, n].Text =center.ToString();
mg[m, n].BackColor = Color.LightBlue;
}
for (int n = 2; n < 5; n++)
{
int m = 4;
double t = Convert.ToDouble(mg0[m - 1, n].Text.ToString());
double r = Convert.ToDouble(mg0[m, n + 1].Text.ToString());
double center = (2*t + r + l) / 4;
mg[m, n].Text =center.ToString();
mg[m, n].BackColor = Color.LightBlue;
}
j = Convert.ToDouble(mg[1, 1].Text.ToString()); for (int m = 0; m < 6; m++)
{
for (int n = 0; n < 6; n++)
{
mg0[m, n] = new Button();
mg0[m, n].Text = mg[m, n].Text.ToString();
}
}
高斯（Gauss）-赛德尔（Seidel）迭代计算代码（C#）：
for (int m = 1; m < 4; m++)
{
int n = 1;
double t = Convert.ToDouble(mg[m - 1, n].Text.ToString());
double b = Convert.ToDouble(mg[m + 1, n].Text.ToString());
double l = Convert.ToDouble(mg[m, n - 1].Text.ToString());
double r = Convert.ToDouble(mg[m, n + 1].Text.ToString());
double center = (200 + t + 2*r + b) / 24;
mg[m, n].Text =center.ToString();
mg[m, n].BackColor = Color.LightBlue;
}
for (int m = 1; m < 4; m++)
{
for (int n = 2; n < 5; n++)
{
double t = Convert.ToDouble(mg[m - 1, n].Text.ToString());
double b = Convert.ToDouble(mg[m + 1, n].Text.ToString());
double l = Convert.ToDouble(mg[m, n - 1].Text.ToString());
double r = Convert.ToDouble(mg[m, n + 1].Text.ToString());
double center = (l + t + r + b) / 4;
mg[m, n].Text =center.ToString();
mg[m, n].BackColor = Color.LightBlue;
}
}
for (int m = 4; m < 5; m++)
{
int n = 1;