Mathc initiation/a315
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x_fdxdz.h |
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/* ---------------------------------- */
/* save as x_fdxdz.h */
/* ---------------------------------- */
double IntFlux_dxdz(
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_h)(double x, double z),
pt2d p
)
{
v3d n = n_norm_grad_dxdz((*P_h), p);
return( ( n.i*(*P_M)(p.x, (*P_h)(p.x,p.y), p.y ) +
n.j*(*P_N)(p.x, (*P_h)(p.x,p.y), p.y ) +
n.k*(*P_P)(p.x, (*P_h)(p.x,p.y), p.y ) ) *
sqrt( pow(fxy_x((*P_h),H,p),2) +
pow(fxy_y((*P_h),H,p),2) +
1)
);
}
/* ---------------------------------- */
double IntFlux_simpson_dxdzt(
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_h)(double x, double y),
double (*P_u)(double z),
double (*P_v)(double z),
int m,
double z
)
{
pt2d p;
int i = 0;
double l = 0.;
double M = 0.;
for(i = 0; i <= m; i++)
{
if(i ==0 || i== m){l = 1.;}
else if(fmod(i,2) == 0){l = 2.;}
else {l = 4.;}
p.x = ((*P_u)(z)) + i*(((*P_v)(z))-((*P_u)(z)))/m;
p.y = z;
M += l * IntFlux_dxdz((*P_M),(*P_N),(*P_P),
(*P_h),
p);
}
return( ((((*P_v)(z)) -((*P_u)(z)))*M) / (3*m) );
}
/* ---------------------------------- */
double IntFlux_simpson_dxdz(
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_h)(double x, double y),
double (*P_u)(double z),
double (*P_v)(double z),
int m,
double a,
double b,
int n
)
{
int i = 0;
double l = 0.;
double M = 0.;
for(i = 0; i <= n; i++)
{
if(i ==0 || i== n){l = 1.;}
else if(fmod(i,2) == 0){l = 2.;}
else {l = 4.;}
M += l * IntFlux_simpson_dxdzt( (*P_M),(*P_N),(*P_P),
(*P_h),
(*P_u),(*P_v),m,
(a + i*(b-a)/n));
}
return( ((b -a)*M) / (3*n) );
}
/* ---------------------------------- */
/* ---------------------------------- */
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