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#include <cmath>
#include <iostream>
#include "../includeCXX/sfx_compute_sheba.h"
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#include "../includeCXX/sfx_surface.h"
template<typename T>
void get_psi_mh(T &psi_m, T &psi_h,
const T zeta_m, const T zeta_h,
const T alpha_m, const T alpha_h,
const T a_m, const T a_h,
const T b_m, const T b_h,
const T c_h)
{
T x_m, x_h;
T q_m, q_h;
if (zeta_m >= 0.0)
{
q_m = pow((1.0 - b_m) / b_m, 1.0 / 3.0);
x_m = pow(1.0 + zeta_m, 1.0 / 3.0);
psi_m = -3.0 * (a_m / b_m) * (x_m - 1.0) + 0.5 * (a_m / b_m) * q_m * (2.0 * log((x_m + q_m) / (1.0 + q_m)) - log((x_m * x_m - x_m * q_m + q_m * q_m) / (1.0 - q_m + q_m * q_m)) + 2.0 * sqrt(3.0) * (atan((2.0 * x_m - q_m) / (sqrt(3.0) * q_m)) - atan((2.0 - q_m) / (sqrt(3.0) * q_m))));
}
else
{ x_m = pow(1.0 - alpha_m * zeta_m, 0.25);
psi_m = (4.0 * atan(1.0) / 2.0) + 2.0 * log(0.5 * (1.0 + x_m)) + log(0.5 * (1.0 + x_m * x_m)) - 2.0 * atan(x_m);
}
if (zeta_h >= 0.0)
{
q_h = sqrt(c_h * c_h - 4.0);
x_h = zeta_h;
psi_h = -0.5 * b_h * log(1.0 + c_h * x_h + x_h * x_h) + ((-a_h / q_h) + ((b_h * c_h) / (2.0 * q_h))) * (log((2.0 * x_h + c_h - q_h) / (2.0 * x_h + c_h + q_h)) - log((c_h - q_h) / (c_h + q_h)));
}
else
{
x_h = pow(1.0 - alpha_h * zeta_h, 0.25);
psi_h = 2.0 * log(0.5 * (1.0 + x_h * x_h));
}
}
template void get_psi_mh(float &psi_m, float &psi_h,
const float zeta_m, const float zeta_h,
const float alpha_m, const float alpha_h,
const float a_m, const float a_h,
const float b_m, const float b_h,
const float c_h);
template void get_psi_mh(double &psi_m, double &psi_h,
const double zeta_m, const double zeta_h,
const double alpha_m, const double alpha_h,
const double a_m, const double a_h,
const double b_m, const double b_h,
const double c_h);
template<typename T>
void get_psi(T &psi_m, T &psi_h,
const T zeta,
const T alpha_m, const T alpha_h,
const T a_m, const T a_h,
const T b_m, const T b_h,
const T c_h)
{
T x_m, x_h;
T q_m, q_h;
if (zeta >= 0.0)
{
q_m = pow((1.0 - b_m) / b_m, 1.0 / 3.0);
q_h = sqrt(c_h * c_h - 4.0);
x_m = pow(1.0 + zeta, 1.0 / 3.0);
x_h = zeta;
psi_m = -3.0 * (a_m / b_m) * (x_m - 1.0) + 0.5 * (a_m / b_m) * q_m * (2.0 * log((x_m + q_m) / (1.0 + q_m)) - log((x_m * x_m - x_m * q_m + q_m * q_m) / (1.0 - q_m + q_m * q_m)) + 2.0 * sqrt(3.0) * (atan((2.0 * x_m - q_m) / (sqrt(3.0) * q_m)) - atan((2.0 - q_m) / (sqrt(3.0) * q_m))));
psi_h = -0.5 * b_h * log(1.0 + c_h * x_h + x_h * x_h) + ((-a_h / q_h) + ((b_h * c_h) / (2.0 * q_h))) * (log((2.0 * x_h + c_h - q_h) / (2.0 * x_h + c_h + q_h)) - log((c_h - q_h) / (c_h + q_h)));
}
else
{
x_m = pow(1.0 - alpha_m * zeta, 0.25);
x_h = pow(1.0 - alpha_h * zeta, 0.25);
psi_m = (4.0 * atan(1.0) / 2.0) + 2.0 * log(0.5 * (1.0 + x_m)) + log(0.5 * (1.0 + x_m * x_m)) - 2.0 * atan(x_m);
psi_h = 2.0 * log(0.5 * (1.0 + x_h * x_h));
}
}
template void get_psi(float &psi_m, float &psi_h,
const float zeta,
const float alpha_m, const float alpha_h,
const float a_m, const float a_h,
const float b_m, const float b_h,
const float c_h);
template void get_psi(double &psi_m, double &psi_h,
const double zeta,
const double alpha_m, const double alpha_h,
const double a_m, const double a_h,
const double b_m, const double b_h,
const double c_h);
template<typename T>
void get_dynamic_scales(T &Udyn, T &Tdyn, T &Qdyn, T &zeta,
const T U, const T Tsemi, const T dT, const T dQ, const T z, const T z0_m, const T z0_t, const T beta,
const T kappa, const T Pr_t_0_inv,
const T alpha_m, const T alpha_h,
const T a_m, const T a_h,
const T b_m, const T b_h,
const T c_h,
const int maxiters)
{
T psi_m, psi_h, psi0_m, psi0_h, Linv;
const T gamma = 0.61;
Udyn = kappa * U / log(z / z0_m);
Tdyn = kappa * dT * Pr_t_0_inv / log(z / z0_t);
Qdyn = kappa * dQ * Pr_t_0_inv / log(z / z0_t);
zeta = 0.0;
// --- no wind
if (Udyn < 1e-5)
return;
Linv = kappa * beta * (Tdyn + gamma * Qdyn * Tsemi) / (Udyn * Udyn);
zeta = z * Linv;
// --- near neutral case
if (Linv < 1e-5)
return;
for (int i = 0; i < maxiters; i++)
{
get_psi(psi_m, psi_h, zeta, alpha_m, alpha_h,
a_m, a_h,
b_m, b_h,
c_h);
get_psi_mh(psi0_m, psi0_h, z0_m * Linv, z0_t * Linv,
alpha_m, alpha_h,
a_m, a_h,
b_m, b_h,
c_h);
Udyn = kappa * U / (log(z / z0_m) - (psi_m - psi0_m));
Tdyn = kappa * dT * Pr_t_0_inv / (log(z / z0_t) - (psi_h - psi0_h));
Qdyn = kappa * dQ * Pr_t_0_inv / (log(z / z0_t) - (psi_h - psi0_h));
if (Udyn < 1e-5) break;
Linv = kappa * beta * (Tdyn + gamma * Qdyn * Tsemi) / (Udyn * Udyn);
zeta = z * Linv;
}
}
template void get_dynamic_scales(float &Udyn, float &Tdyn, float &Qdyn, float & zeta,
const float U, const float Tsemi, const float dT, const float dQ, const float z, const float z0_m, const float z0_t, const float beta,
const float kappa, const float Pr_t_0_inv,
const float alpha_m, const float alpha_h,
const float a_m, const float a_h,
const float b_m, const float b_h,
const float c_h,
const int maxiters);
template void get_dynamic_scales(double &Udyn, double &Tdyn, double &Qdyn, double & zeta,
const double U, const double Tsemi, const double dT, const double dQ, const double z, const double z0_m, const double z0_t, const double beta,
const double kappa, const double Pr_t_0_inv,
const double alpha_m, const double alpha_h,
const double a_m, const double a_h,
const double b_m, const double b_h,
const double c_h,
const int maxiters);
template<typename T>
void get_phi(T &phi_m, T &phi_h,
const T zeta,
const T alpha_m, const T alpha_h,
const T a_m, const T a_h,
const T b_m, const T b_h,
const T c_h)
{
if (zeta >= 0.0)
{
phi_m = 1.0 + (a_m * zeta * pow(1.0 + zeta, 1.0 / 3.0) ) / (1.0 + b_m * zeta);
phi_h = 1.0 + (a_h * zeta + b_h * zeta * zeta) / (1.0 + c_h * zeta + zeta * zeta);
}
else
{
phi_m = pow(1.0 - alpha_m * zeta, -0.25);
phi_h = pow(1.0 - alpha_h * zeta, -0.5);
}
}
template void get_phi(float &phi_m, float &phi_h,
const float zeta,
const float alpha_m, const float alpha_h,
const float a_m, const float a_h,
const float b_m, const float b_h,
const float c_h);
template void get_phi(double &phi_m, double &phi_h,
const double zeta,
const double alpha_m, const double alpha_h,
const double a_m, const double a_h,
const double b_m, const double b_h,
const double c_h);
template<typename T>
void compute_flux_sheba_cpu(T *zeta_, T *Rib_, T *Re_, T *B_, T *z0_m_, T *z0_t_, T *Rib_conv_lim_, T *Cm_, T *Ct_, T *Km_, T *Pr_t_inv_,
const T *U_, const T *dT_, const T *Tsemi_, const T *dQ_, const T *h_, const T *in_z0_m_,
const T kappa, const T Pr_t_0_inv,
const T alpha_m, const T alpha_h,
const T a_m, const T a_h,
const T b_m, const T b_h,
const T c_h,
const T Re_rough_min,
const T B1_rough, const T B2_rough,
const T B_max_land, const T B_max_ocean, const T B_max_lake,
const T gamma_c, const T Re_visc_min,
const T Pr_m, const T nu_air, const T g,
const int grid_size)
{
T h, U, dT, Tsemi, dQ, z0_m;
T z0_t, B, h0_m, h0_t, u_dyn0, Re,
zeta, Rib, Udyn, Tdyn, Qdyn, phi_m, phi_h,
Km, Pr_t_inv, Cm, Ct;
const T B3_rough = kappa * Pr_m, B4_rough =(0.14 * (pow(30.0, B2_rough))) * (pow(Pr_m, 0.8));
const T h_charnock = 10.0, c1_charnock = log(h_charnock * (g / gamma_c)), c2_charnock = Re_visc_min * nu_air * c1_charnock;
int surface_type;
for (int step = 0; step < grid_size; step++)
{
U = U_[step];
Tsemi = Tsemi_[step];
dT = dT_[step];
dQ = dQ_[step];
h = h_[step];
z0_m = in_z0_m_[step];
if (z0_m < 0.0) surface_type = 0;
else surface_type = 1;
get_charnock_roughness(z0_m, u_dyn0, h, U, kappa, h_charnock, c1_charnock, c2_charnock, maxiters_charnock);
{
h0_m = h / z0_m;
u_dyn0 = U * kappa / log(h0_m);
}
Re = u_dyn0 * z0_m / nu_air;
get_thermal_roughness(z0_t, B, z0_m, Re, Re_rough_min, B1_rough, B2_rough, B3_rough, B4_rough, B_max_ocean, B_max_lake, B_max_land, surface_type);
// --- define relative height [thermal]
h0_t = h / z0_t;
// --- define Ri-bulk
Rib = (g / Tsemi) * h * (dT + 0.61e0 * Tsemi * dQ) / (U*U);
// --- get the fluxes
// ----------------------------------------------------------------------------
get_dynamic_scales(Udyn, Tdyn, Qdyn, zeta, U, Tsemi, dT, dQ, h, z0_m, z0_t, (g / Tsemi), kappa, Pr_t_0_inv, alpha_m, alpha_h, a_m, a_h, b_m, b_h, c_h, 10);
// ----------------------------------------------------------------------------
// ----------------------------------------------------------------------------
// --- define transfer coeff. (momentum) & (heat)
Cm = 0.0;
if (U > 0.0)
Cm = Udyn / U;
Ct = 0.0;
if (fabs(dT) > 0.0)
Ct = Tdyn / dT;
// --- define eddy viscosity & inverse Prandtl number
Km = kappa * Cm * U * h / phi_m;
Pr_t_inv = phi_m / phi_h;
zeta_[step] = zeta;
Rib_[step] = Rib;
Re_[step] = Re;
B_[step] = B;
z0_m_[step] = z0_m;
z0_t_[step] = z0_t;
Cm_[step] = Cm;
Ct_[step] = Ct;
Km_[step] = Km;
Pr_t_inv_[step] = Pr_t_inv;
}
}
template void compute_flux_sheba_cpu(float *zeta_, float *Rib_, float *Re_, float *B_, float *z0_m_, float *z0_t_, float *Rib_conv_lim_, float *Cm_, float *Ct_, float *Km_, float *Pr_t_inv_,
const float *U, const float *dt, const float *T_semi, const float *dq, const float *H, const float *in_z0_m,
const float kappa, const float Pr_t_0_inv,
const float alpha_m, const float alpha_h,
const float a_m, const float a_h,
const float b_m, const float b_h,
const float c_h,
const float Re_rough_min,
const float B1_rough, const float B2_rough,
const float B_max_land, const float B_max_ocean, const float B_max_lake,
const float gamma_c, const float Re_visc_min,
const float Pr_m, const float nu_air, const float g,
const int grid_size);
template void compute_flux_sheba_cpu(double *zeta_, double *Rib_, double *Re_, double *B_, double *z0_m_, double *z0_t_, double *Rib_conv_lim_, double *Cm_, double *Ct_, double *Km_, double *Pr_t_inv_,
const double *U, const double *dt, const double *T_semi, const double *dq, const double *H, const double *in_z0_m,
const double kappa, const double Pr_t_0_inv,
const double alpha_m, const double alpha_h,
const double a_m, const double a_h,
const double b_m, const double b_h,
const double c_h,
const double Re_rough_min,
const double B1_rough, const double B2_rough,
const double B_max_land, const double B_max_ocean, const double B_max_lake,
const double gamma_c, const double Re_visc_min,
const double Pr_m, const double nu_air, const double g,