sdf_hertz_2d_axisymm_sphere.Sphere Class Reference

Public Member Functions
def	sDF (r, xc, yc, zc, x, y, z)
def	gradSdf (xc, yc, zc, x, y, z)
def	hessSdf (xc, yc, zc, x, y, z)

Detailed Description

Definition at line 20 of file sdf_hertz_2d_axisymm_sphere.py.

Member Function Documentation

gradSdf()

def sdf_hertz_2d_axisymm_sphere.Sphere.gradSdf	(		xc,
			yc,
			zc,
			x,
			y,
			z
	)

Definition at line 24 of file sdf_hertz_2d_axisymm_sphere.py.

    def gradSdf(xc, yc, zc, x, y, z):
        c_val_A = 1./np.sqrt((x-xc)**2 + (y-yc)**2 + (z-zc)**2)
        return np.hstack([(c_val_A * (x-xc)).reshape((-1,1)), (c_val_A * (y-yc)).reshape((-1,1)), (c_val_A * (z-zc)).reshape((-1,1))])
 

hessSdf()

def sdf_hertz_2d_axisymm_sphere.Sphere.hessSdf	(		xc,
			yc,
			zc,
			x,
			y,
			z
	)

Definition at line 28 of file sdf_hertz_2d_axisymm_sphere.py.

    def hessSdf(xc, yc, zc, x, y, z):
        x, y, z = x-xc, y-yc, z-zc
        denom = (x**2 + y**2 + z**2)**(3/2)
        sqrt_denom = np.sqrt(x**2 + y**2 + z**2)
        Hxx = -x**2/denom + 1/sqrt_denom
        Hzx = -x*z/denom
        Hxy = -x*y/denom
        Hyy = -y**2/denom + 1/sqrt_denom
        Hzy = -y*z/denom
        Hzz = -z**2/denom + 1/sqrt_denom
        # xx, yx, zx, yy, zy, zz
        return np.hstack([Hxx.reshape((-1,1)), Hxy.reshape((-1,1)), Hzx.reshape((-1,1)), Hyy.reshape((-1,1)), Hzy.reshape((-1,1)), Hzz.reshape((-1,1))])

sDF()

def sdf_hertz_2d_axisymm_sphere.Sphere.sDF	(		r,
			xc,
			yc,
			zc,
			x,
			y,
			z
	)

Definition at line 21 of file sdf_hertz_2d_axisymm_sphere.py.

    def sDF(r, xc, yc, zc, x, y, z):
        return np.sqrt((x - xc)**2 + (y - yc)**2 + (z - zc)**2) - r
 

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The documentation for this class was generated from the following file:

• tutorials/adv-1/sdf_files/sdf_hertz_2d_axisymm_sphere.py