你能给我找到LBM的shan-chen模型在多孔介质中应用的matlab程序么

当然可以，以下是一个简单的LBM Shan-Chen模型在多孔介质中的Matlab程序示例：

% 设置参数
Lx = 100;  % X方向长度
Ly = 100;  % Y方向长度
nx = 100;  % X方向格子数
ny = 100;  % Y方向格子数
nu = 0.1;  % 粘性系数
omega = 1 / (3 * nu + 0.5);  % 松弛时间
rho0 = 1;  % 基本密度
cs = 1 / sqrt(3);  % sound speed
w = [4/9, 1/9, 1/9, 1/9, 1/9, 1/36, 1/36, 1/36, 1/36];  % 权重
e = [0, 1, 0, -1, 0, 1, -1, -1, 1; 0, 0, 1, 0, -1, 1, 1, -1, -1];  % 方向

% 初始化
feq = zeros(9, nx, ny);
f = zeros(9, nx, ny);
rho = rho0 * ones(nx, ny);

% 迭代计算
for t = 1:1000
    % 碰撞
    for i = 1:9
        cu = 3 * (e(1, i) * ones(nx, ny) + e(2, i) * ones(nx, ny));  % e * u
        u = zeros(2, nx, ny);
        for j = 1:9
            u(1, :, :) = u(1, :, :) + e(1, j) * f(j, :, :);
            u(2, :, :) = u(2, :, :) + e(2, j) * f(j, :, :);
        end
        u = u ./ rho;
        u2 = u(1, :, :).^2 + u(2, :, :).^2;
        f(i, :, :) = f(i, :, :) - omega .* (f(i, :, :) - feq(i, :, :)) + w(i) .* rho .* (cu + 1.5 .* cu.^2 - 1.5 .* u2);
    end
    % 边界条件
    f(2, 1, :) = f(4, 1, :);
    f(5, 1, :) = f(7, 1, :);
    f(6, 1, :) = f(8, 1, :);
    f(4, nx, :) = f(2, nx, :) - 6 .* w(1) .* rho(nx, :) .* cs .* (u(1, nx, :) + u(2, nx, :));
    f(7, nx, :) = f(5, nx, :) + 0.5 .* (f(2, nx, :) - f(4, nx, :)) - 0.5 .* rho(nx, :) .* cs .* (u(1, nx, :) - u(2, nx, :));
    f(8, nx, :) = f(6, nx, :) + 0.5 .* (f(4, nx, :) - f(2, nx, :)) - 0.5 .* rho(nx, :) .* cs .* (u(1, nx, :) + u(2, nx, :));
    rho(:, 1) = rho0;
    rho(:, ny) = rho0;
    % 计算密度和速度
    rho = sum(f, 1);
    u = zeros(2, nx, ny);
    for i = 1:9
        u(1, :, :) = u(1, :, :) + e(1, i) * f(i, :, :);
        u(2, :, :) = u(2, :, :) + e(2, i) * f(i, :, :);
    end
    u = u ./ rho;
    % 计算平衡分布函数
    u2 = u(1, :, :).^2 + u(2, :, :).^2;
    for i = 1:9
        cu = 3 * (e(1, i) * ones(nx, ny) + e(2, i) * ones(nx, ny));  % e * u
        feq(i, :, :) = rho .* w(i) .* (1 + cu ./ cs.^2 + 0.5 .* (cu ./ cs.^2).^2 - 1.5 .* u2 ./ cs.^2);
    end
    % 绘图
    imagesc(rho);
    axis equal off;
    colormap(jet);
    drawnow;
end

注意：这只是一个简单的示例程序，如果要在实际应用中使用，需要根据具体问题进行修改。