x component of 2nd stokes wave--- C code

* Source code

The following is a C code for x component of 2nd stokes wave

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/*second order stokes wave at inlet Boundary, wave velocity components are from equations 3.27 and 3.58, Pengzhi lin. numerical modeling of water waves. CRC press, 2008*/
#include "udf.h"
#define pi 3.14159265359 /*define constants*/
#define U 0.6 /*free stream velocity*/
#define H 0.076 /*wave height*/
#define g 9.81 /*gravity acceleration*/
#define L 4.8 /*wave length*/
#define d 1.6 /*water depth*/
#define T 1.456/*effective wave period (include doppler effect)*/

/*DEFINE_PROFILE: define an inlet velocity profile that varies as a function of z coordinates or t.*/
DEFINE_PROFILE(x_velocity,ft,var) /* DEFINE Macros, ft is a thread; var:index */
{
/*define variables*/
real r[ND_ND]; /*Coordinates, r[0] mean x coordinates, r[1] means y coordinates*/
real k; /*wave number*/
real z; /*z(vertical) axis, gravity direction*/
real omega; /*effective wave angular velocity*/
real t; /*t*/
k = 2.0*pi/L; /*assign values to variables*/
omega=2.0*pi/T;
t = CURRENT_TIME; /* Special Fluent macro, current running t */

face_t f; /* "f" is a face index for each face on the boundary */

begin_f_loop(f,ft)/* face loop macro ,loop over all faces in a given face thread,i.e. "ft" */
{
F_CENTROID(r,f,ft); /*F_CENTROID finds the coordinate position of the centroid of the face "f" and stores the coordinates in the "r" array */
z =r[1]; /* r[1] is y coordinate,r[2] is z coordinate */

F_PROFILE(f,ft,var) = U + H*g*k*cosh(k*(z-0.782+d))*cos(-omega*t)/(2.0*(omega-k*U)*cosh(k*d)) + 3.0*H*H*(omega-k*U)*k*cosh(2.0*k*(z-0.782+d))*cos(-2.0*omega*t)/(16.0*pow(sinh(k*d),4.0));
/*x-velocity component (flow direction): u_r+U= U + H*g*k*cosh(k*(z+d))*cos(-omega*t)/(2.0*(omega-k*U)*cosh(k*d)) + 3.0*H*H*(omega-k*U)*k*cosh(2.0*k*(z+d))*cos(-2.0*omega*t)/(16.0*pow(sinh(k*d),4.0)); z=0 is the mean free surface levelin the theory model, however, free surface level is z=-0.782m in the Fluent geometry model*/

}
end_f_loop(f,ft)
}
vertical component of 2nd stokes wave
/*vertical-velocity component (flow direction) of second order stokes wave at inlet Boundary, wave velocity components are from equations 3.27 and 3.58, Pengzhi lin. numerical modeling of water waves. CRC press, 2008*/
#include "udf.h"
#define pi 3.14159265359 /*define constants*/
#define U 0.6 /*free stream velocity*/
#define H 0.076 /*wave height*/
#define g 9.81 /*gravity acceleration*/
#define L 4.8 /*wave length*/
#define d 1.6 /*water depth*/
#define T 1.456/*effective wave period (include doppler effect)*/

/*DEFINE_PROFILE: define an inlet velocity profile that varies as a function of z coordinates or t.*/
DEFINE_PROFILE(vertical_velocity,ft,var) /* DEFINE Macros, ft is a thread; var:index */
{
/*define variables*/
real r[ND_ND]; /*Coordinates, r[0] mean x coordinates, r[1] means y coordinates; r[2] is z coordinates*/
real k; /*wave number*/
real z; /*z(vertical) axis*/
real omega; /*effective wave angular velocity*/
real t; /*t*/
k = 2.0*pi/L; /*assign values to variables*/
omega=2.0*pi/T;
t = CURRENT_TIME; /* Special Fluent macro, current running t */

face_t f; /* f is a face index for each face on the boundary */

begin_f_loop(f,ft)/* face loop macro ,loop over all faces in a given face thread "ft" */
{
F_CENTROID(r,f,ft); /*F_CENTROID finds the coordinate position of the centroid of the face "f" and stores the coordinates in the "r" array */
z =r[1]; /* r[1] means y coordinates */

F_PROFILE(f,ft,var) = H*g*k*sinh(k*(z-0.782+d))*sin(-omega*t)/(2.0*(omega-k*U)*cosh(k*d)) + 3.0*H*H*(omega-k*U)*k*sinh(2.0*k*(z-0.782+d))*sin(-2.0*omega*t)/(16.0*pow(sinh(k*d),4.0));
/* in the Fluent mode, free surface level is z=0.782m, positive z is in the gravity direction,however, z=0 is the mean free surface level, and z is negative gravity direction in the theory of wave */

/* verticla velocity: w_r= 2.0*a*g*k*sinh(k*(z+d))*sin(-omega*t)/(2.0*(omega-k*U)*cosh(k*d)) + 3.0*2.0*a*2.0*a*(omega-k*U)*k*sinh(2.0*k*(z+d))*sin(-2.0*omega*t)/(16.0*pow(sinh(k*d),4.0)); */
}
end_f_loop(f,ft)
}

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