Mathc initiation/Fichiers h : c59ac
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x_stokxy.h |
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/* ---------------------------------- */
/* save as x_stokxy.h */
/* ---------------------------------- */
/*
*
/ by / v(y) curl_n_ds
| |
| | (curl F).ny [(f_x)^2+(f_y)^2+1]^1/2 dx dy =
| |
/ ay / u(y)
*
*
* */
double curlF_n_s(
double (*P_M)(double x, double y, double z),
double (*P_N)(double x, double y, double z),
double (*P_P)(double x, double y, double z),
double (*P_f)(double x, double y),
double h,
p2d p
)
{
v3d ny;
v3d curl;
p3d p3d;
p3d.x = p.x;
p3d.y = p.y;
p3d.z = (*P_f)(p.x,p.y);
ny = n_dxdy((*P_f), h, p);
curl = curl_xyz((*P_M),(*P_N),(*P_P), h, p3d);
return( ( ny.i*curl.i +
ny.j*curl.j +
ny.k*curl.k ) *
sqrt( pow(fxy_x((*P_f),h,p),2) +
pow(fxy_y((*P_f),h,p),2) +
1)
);
}
/* ---------------------------------- */
double stokes_dx(
double (*P_M)(double x, double y, double z),
double (*P_N)(double x, double y, double z),
double (*P_P)(double x, double y, double z),
double (*P_f)(double x, double y),
double (*P_u)(double y),
double (*P_v)(double y),
int nx,
double y,
double h
)
{
p2d p;
int i = 0;
double m = 0.;
double M = 0.;
for(i = 0; i <= nx; i++)
{
if(i ==0 || i== nx){m = 1.;}
else if(fmod(i,2) == 0){m = 2.;}
else {m = 4.;}
p.x = ((*P_u)(y)) + i*(((*P_v)(y))-((*P_u)(y)))/nx;
p.y = y;
M += m * curlF_n_s((*P_M),
(*P_N),
(*P_P),
(*P_f),
h,
p);
}
return( ((((*P_v)(y)) -((*P_u)(y)))*M) / (3*nx) );
}
/* ---------------------------------- */
double stokes_dxdy(
double (*P_M)(double x, double y, double z),
double (*P_N)(double x, double y, double z),
double (*P_P)(double x, double y, double z),
double (*P_f)(double x, double y),
double (*P_u)(double y),
double (*P_v)(double y),
int nx,
double ay,
double by,
int ny,
double h
)
{
int i = 0;
double m = 0.;
double M = 0.;
for(i = 0; i <= ny; i++)
{
if(i ==0 || i== ny){m = 1.;}
else if(fmod(i,2) == 0){m = 2.;}
else {m = 4.;}
M += m * stokes_dx( (*P_M),(*P_N),(*P_P),
(*P_f), (*P_u),(*P_v),
nx,
(ay + i*(by-ay)/ny),
h);
}
return( ((by -ay)*M) / (3*ny) );
}
/* ---------------------------------- */
/* ---------------------------------- */
Déclaration des fichiers h.