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hongsemenghuan

木虫 (著名写手)

[交流] 请问关于非线性显示差分的问题

s=0;T0=60000;

初始时刻:
for i=1:numx+2
    if (x(i)-x(1))^2<=r0^2
        T(i,1)=T0;
    else
        T(i,1)=300;
    end
end

  差分方程如下:
for t=1:numt
for i=2:numx+1
当温度T(i,t)>=427时  
T(i,t+1)=T(i,t)+(dt*k/(dens*cp*dx^2))*(T(i+1,t)-2*T(i,t)+T(i-1,t))+(Qal*A*dt/
(dens*cp))*exp(-E./(RR*T(i,t)))   (非线性的)
每执行一次上述情况的计算,s=s+1;每一点只进行一次这样的计算。

温度达不到427的点
T(i,t+1)=T(i,t)+(dt*k/(dens*cp*dx^2))*(T(i+1,t)-2*T(i,t)+T(i-1,t))  (线性的)

end

边界:
T(1,t)=T(2,t);T(numx+2,t)=300;
end

取dx=0.5*10^(-9)m;dt=1*10^(-14)s 满足稳定性条件k*dt/(dens*cp*dx^2)<=1/2

计算结果 s 不随初始温度T0增大而增大。  这回是什么原因造成的呢?对于非线性方程来
说,稳定性条件对吗?谢谢帮助!
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