你给我找一下LBMshen-chen模型相关的计算相对渗透率matlab代码?
时间: 2024-02-25 08:52:42 浏览: 24
LBM Shan-Chen模型的计算相对渗透率的Matlab代码可以参考以下示例代码:
```matlab
%定义参数
Lx = 100; % x方向网格数
Ly = 100; % y方向网格数
tau = 0.8; %松弛时间
w0 = 4/9; %权重
w1 = 1/9;
w2 = 1/36;
rho0 = 1.0; %密度
cs = 1/sqrt(3); %声速
dx = 1.0; %网格间距
dt = dx*cs/sqrt(3); %时间步长
max_step = 10000; %最大时间步长
P_left = 1.0; %左侧压力
P_right = 0.0; %右侧压力
viscosity = 0.01; %粘度
%初始化密度、速度和分布函数
rho = ones(Lx,Ly)*rho0;
u = zeros(Lx,Ly,2);
f = zeros(Lx,Ly,9);
%初始化权重系数
w = [w0 w1 w1 w1 w1 w2 w2 w2 w2];
%初始化速度权重系数
cx = [0 1 0 -1 0 1 -1 -1 1];
cy = [0 0 1 0 -1 1 1 -1 -1];
%迭代计算
for step = 1:max_step
%计算宏观参量
rho = sum(f,3);
u(:,:,1) = (f(:,:,2)-f(:,:,4)+f(:,:,6)-f(:,:,7)-f(:,:,8)+f(:,:,9))./rho;
u(:,:,2) = (f(:,:,3)-f(:,:,5)+f(:,:,6)+f(:,:,7)-f(:,:,8)-f(:,:,9))./rho;
%边界条件处理
u(1,:,1) = (1-0.5*viscosity*dt)*u(1,:,1)+0.5*dt/viscosity*(P_left/(2*cs*dx)-u(1,:,1));
u(Lx,:,1) = (1-0.5*viscosity*dt)*u(Lx,:,1)+0.5*dt/viscosity*(-P_right/(2*cs*dx)-u(Lx,:,1));
f(1,:,4) = f(1,:,2)+2/3*rho(1,:,1)*u(1,:,1);
f(Lx,:,2) = f(Lx,:,4)+2/3*rho(Lx,:,1)*u(Lx,:,1);
f(1,:,8) = f(1,:,6)+1/2*(f(1,:,3)-f(1,:,5))+1/6*rho(1,:,1)*u(1,:,1);
f(Lx,:,9) = f(Lx,:,7)+1/2*(f(Lx,:,5)-f(Lx,:,3))+1/6*rho(Lx,:,1)*u(Lx,:,1);
%分布函数计算
for i = 1:9
cu = cx(i)*u(:,:,1)+cy(i)*u(:,:,2);
feq = rho.*w(i).*(1+3*cu+4.5*cu.^2-1.5*(u(:,:,1).^2+u(:,:,2).^2));
f(:,:,i) = f(:,:,i)-(f(:,:,i)-feq)/tau*dt;
end
%计算相对渗透率
Kx = 0;
Ky = 0;
for j = 1:Ly
Kx = Kx+(u(1,j,1)-u(Lx,j,1))/(P_left-P_right)*dx/Ly;
Ky = Ky+(u(1,j,2)-u(Lx,j,2))/(P_left-P_right)*dx/Ly;
end
Kr = sqrt(Kx^2+Ky^2);
%输出当前时间步长和相对渗透率
fprintf('Step: %d, Kr: %f\n',step,Kr);
end
```
需要说明的是,这只是一个示例代码,实际应用中需要根据具体问题进行调整和改进。