大气湍流模型matlab代码

大气湍流模型是一个复杂的模型，其代码实现需要涉及到多个方面的知识。下面提供一份简单的MATLAB代码供参考：

% 大气湍流模型代码
clc;
clear all;
close all;

% 参数设置
Nx = 64; % x方向网格数
Ny = 64; % y方向网格数
Lx = 1; % x方向长度
Ly = 1; % y方向长度
dx = Lx / Nx; % x方向网格大小
dy = Ly / Ny; % y方向网格大小
dt = 0.01; % 时间步长
T = 10; % 模拟时间
t = 0:dt:T; % 时间向量
Nt = length(t); % 时间步数
visc = 0.1; % 粘性系数
epsilon = 0.01; % 湍流强度
kappa = 0.41; % 几何摩擦因子
u_star = 0.1; % 摩擦速度
h = 10; % 大气层厚度
g = 9.81; % 重力加速度

% 初始条件
u = zeros(Nx, Ny); % x方向速度
v = zeros(Nx, Ny); % y方向速度
theta = zeros(Nx, Ny); % 温度
for i = 1:Nx
    for j = 1:Ny
        theta(i, j) = 300 - (j-1)*10/Ly;
    end
end

% 边界条件
u(1, :) = 0; % 左边界
u(Nx, :) = 0; % 右边界
u(:, 1) = u_star * (1 - exp(-kappa*h/u_star)); % 下边界
u(:, Ny) = 0; % 上边界
v(1, :) = 0; % 左边界
v(Nx, :) = 0; % 右边界
v(:, 1) = 0; % 下边界
v(:, Ny) = 0; % 上边界
theta(1, :) = 300; % 左边界
theta(Nx, :) = 300; % 右边界
theta(:, 1) = 300; % 下边界
theta(:, Ny) = 300; % 上边界

% 主循环
for n = 1:Nt-1
    % 计算速度
    for i = 2:Nx-1
        for j = 2:Ny-1
            u(i,j) = u(i,j) - dt*(1/dx)*(0.5*(theta(i+1,j)+theta(i,j))*(u(i+1,j)-u(i,j))+...
                0.5*(theta(i,j)+theta(i-1,j))*(u(i,j)-u(i-1,j)))-...
                dt*(1/dy)*(0.5*(theta(i,j+1)+theta(i,j))*(v(i,j+1)-v(i,j))+...
                0.5*(theta(i,j)+theta(i,j-1))*(v(i,j)-v(i,j-1)))+...
                dt*visc*((u(i+1,j)-2*u(i,j)+u(i-1,j))/(dx^2)+...
                (u(i,j+1)-2*u(i,j)+u(i,j-1))/(dy^2));
            
            v(i,j) = v(i,j) - dt*(1/dx)*(0.5*(theta(i,j)+theta(i+1,j))*(v(i+1,j)-v(i,j))+...
                0.5*(theta(i-1,j)+theta(i,j))*(v(i,j)-v(i-1,j)))-...
                dt*(1/dy)*(0.5*(theta(i,j)+theta(i,j+1))*(u(i,j+1)-u(i,j))+...
                0.5*(theta(i,j-1)+theta(i,j))*(u(i,j)-u(i,j-1)))+...
                dt*visc*((v(i+1,j)-2*v(i,j)+v(i-1,j))/(dx^2)+...
                (v(i,j+1)-2*v(i,j)+v(i,j-1))/(dy^2));
        end
    end
    
    % 计算温度
    for i = 2:Nx-1
        for j = 2:Ny-1
            theta(i,j) = theta(i,j) - dt*(1/dx)*(u(i,j)*(theta(i,j)-theta(i-1,j))+...
                u(i+1,j)*(theta(i+1,j)-theta(i,j)))+...
                dt*(1/dy)*(v(i,j)*(theta(i,j)-theta(i,j-1))+...
                v(i,j+1)*(theta(i,j+1)-theta(i,j)))-...
                dt*epsilon*theta(i,j)/h;
        end
    end
    
    % 更新边界条件
    u(1, :) = 0; % 左边界
    u(Nx, :) = 0; % 右边界
    u(:, 1) = u_star * (1 - exp(-kappa*h/u_star)); % 下边界
    u(:, Ny) = 0; % 上边界
    v(1, :) = 0; % 左边界
    v(Nx, :) = 0; % 右边界
    v(:, 1) = 0; % 下边界
    v(:, Ny) = 0; % 上边界
    theta(1, :) = 300; % 左边界
    theta(Nx, :) = 300; % 右边界
    theta(:, 1) = 300; % 下边界
    theta(:, Ny) = 300; % 上边界
end

% 结果可视化
figure(1);
quiver(u, v);
title('Velocity Field');
xlabel('x');
ylabel('y');
axis([1 Nx 1 Ny]);

figure(2);
contourf(theta);
colorbar;
title('Temperature Distribution');
xlabel('x');
ylabel('y');
axis([1 Nx 1 Ny]);

该代码仅作为参考，实际应用中需要根据具体问题进行修改和优化。