给我找一个基于LBM模拟多孔介质流体流动的matlab程序?
时间: 2023-06-27 12:03:06 浏览: 151
LBM_D2Q9模型_模拟流体在多孔介质中的渗流_matlab_LBM多孔介质
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以下是一个基于LBM模拟多孔介质流体流动的 Matlab 程序示例:
```
% 定义常量
rho0 = 1;
nu0 = 0.1;
dx = 1;
dt = 1;
Lx = 100;
Ly = 100;
N = Lx/dx;
omega = 1.8;
% 初始化速度和密度
u = zeros(N,N);
v = zeros(N,N);
rho = ones(N,N);
% 定义碰撞过程
feq = @(rho,u,v) (4/9)*rho.*(1 - 1.5*(u.^2 + v.^2) + 3*(u.^2 + v.^2).*[1 1 0 1 0 0 -1 -1 -1]');
% 定义边界条件
boundary = @(f) (f - feq(rho,u,v) + feq(rho0,zeros(N,N),zeros(N,N)));
% 迭代计算
for t = 1:1000
% 计算宏观参数
rho = sum(f,3);
u = sum(f.*[1 1 0 -1 -1 -1 0 1 0]',3)./rho;
v = sum(f.*[0 1 1 1 0 -1 -1 -1 0]',3)./rho;
% 处理边界条件
f(:,1,:) = boundary(f(:,1,:));
f(:,N,:) = boundary(f(:,N,:));
f(1,:,:) = boundary(f(1,:,:));
f(N,:,:) = boundary(f(N,:,:));
f(1,1,:) = boundary(f(1,1,:));
f(1,N,:) = boundary(f(1,N,:));
f(N,1,:) = boundary(f(N,1,:));
f(N,N,:) = boundary(f(N,N,:));
% 碰撞过程
f = (1-omega).*f + omega.*feq(rho,u,v);
% 对流过程
for i = 2:N-1
for j = 2:N-1
rho(i,j) = sum(f(i,j,:));
u(i,j) = sum(f(i,j,:).*[1 1 0 -1 -1 -1 0 1 0]')/rho(i,j);
v(i,j) = sum(f(i,j,:).*[0 1 1 1 0 -1 -1 -1 0]')/rho(i,j);
end
end
% 更新速度场和密度场
u(1,:) = 0;
u(N,:) = 0;
v(:,1) = 0;
v(:,N) = 0;
rho(1,:) = rho0;
rho(N,:) = rho0;
rho(:,1) = rho0;
rho(:,N) = rho0;
% 绘制流场图
quiver(u,v);
axis([0 Lx 0 Ly]);
drawnow;
end
```
注意,这只是一个示例程序,具体实现方式可能因模拟对象和要求的精度而有所不同。您需要根据您的具体需求进行调整。
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