ADM1模型 C++代码

ADM1模型是一种用于模拟废水处理系统的数学模型。以下是一个简单的ADM1模型的C++代码示例：

#include <iostream>

using namespace std;

// 定义模型参数
double Y_H = 0.4; // 有机质污泥的挥发性固体与COD比值
double Y_P = 0.08; // 磷污泥的挥发性固体与COD比值
double Y_G = 0.05; // 气体的挥发性固体与COD比值
double K_H = 0.2; // 有机质污泥降解常数
double K_A = 0.02; // 醇酸发酵反应常数
double K_M = 0.2; // 甲烷发酵反应常数
double K_D = 0.1; // 溶解性无机物的降解常数
double K_N = 0.04; // 氨氮的氧化反应常数
double K_P = 0.01; // 磷的吸附常数
double K_S = 0.1; // 反应速率
double S_I = 0.001; // 维持底物浓度

// 定义模型变量
double S_I_in, S_S_in, S_X_in, S_P_in, S_O_in, S_NH_in, S_ALK_in;
double S_I_out, S_S_out, S_X_out, S_P_out, S_O_out, S_NH_out, S_ALK_out;

// 定义模型函数
double f_H(double S_I, double S_X) {
    return K_H * S_X * S_I / (S_I + K_S);
}

double f_A(double S_I, double S_S, double S_X) {
    return K_A * S_I * S_S / (S_I + K_S) * S_X;
}

double f_M(double S_I, double S_S, double S_X) {
    return K_M * S_I * S_S / (S_I + K_S) * S_X;
}

double f_D(double S_I, double S_X) {
    return K_D * S_I * S_X / (S_I + K_S);
}

double f_N(double S_I, double S_X, double S_NH) {
    return K_N * S_I * S_X / (S_I + K_S) * S_NH;
}

double f_P(double S_I, double S_X, double S_P) {
    return K_P * S_I * S_X / (S_I + K_S) * S_P;
}

// 定义主函数
int main() {
    // 输入初始值
    S_I_in = 100.0;
    S_S_in = 0.0;
    S_X_in = 0.0;
    S_P_in = 0.0;
    S_O_in = 0.0;
    S_NH_in = 0.0;
    S_ALK_in = 0.0;

    // 计算模型
    double f_H_val = f_H(S_I_in, S_X_in);
    double f_A_val = f_A(S_I_in, S_S_in, S_X_in);
    double f_M_val = f_M(S_I_in, S_S_in, S_X_in);
    double f_D_val = f_D(S_I_in, S_X_in);
    double f_N_val = f_N(S_I_in, S_X_in, S_NH_in);
    double f_P_val = f_P(S_I_in, S_X_in, S_P_in);

    // 计算输出值
    S_I_out = S_I_in - f_D_val - f_H_val - f_A_val - f_M_val - S_I_in * (Y_H + Y_P) * f_N_val - S_I_in * Y_P * f_P_val;
    S_S_out = S_S_in + f_H_val - f_A_val - f_M_val;
    S_X_out = S_X_in + f_A_val + f_M_val - f_D_val;
    S_P_out = S_P_in + S_I_in * Y_P * f_N_val - f_P_val;
    S_O_out = S_O_in + f_M_val - f_D_val;
    S_NH_out = S_NH_in + S_I_in * Y_H * f_N_val - f_N_val;
    S_ALK_out = S_ALK_in;

    // 输出结果
    cout << "S_I_out = " << S_I_out << endl;
    cout << "S_S_out = " << S_S_out << endl;
    cout << "S_X_out = " << S_X_out << endl;
    cout << "S_P_out = " << S_P_out << endl;
    cout << "S_O_out = " << S_O_out << endl;
    cout << "S_NH_out = " << S_NH_out << endl;
    cout << "S_ALK_out = " << S_ALK_out << endl;

    return 0;
}

这个示例只包含了一个简单的ADM1模型，实际应用中可能会有更多的模型参数和变量。同时，这个示例也没有考虑到模型的数值稳定性和精度问题，这些都需要在实际应用中进行仔细的考虑和处理。