def helmholtz_double(nx, nz, cavity=(0.2, 0.2), neck=(0.1, 0.1)):
""" Geometry: Double Helmholtz resonator.
Parameters
----------
nx : int
Width of the domain.
nz : int
Height of the domain.
cavity : tuple, optional
Normalized (width, height) of the cavity.
neck : tuple, optional
Normalized (width, height) of the neck.
"""
xneck_wdth = int(nx * neck[0])
xcvty_wdth = int(nx * cavity[0])
xneck_hght = int(nz * neck[1])
xcvty_hght = int(nz * cavity[1])
neck_ix = int((nx - xneck_wdth) / 2)
cvty_ix = int((nx - xcvty_wdth) / 2)
zneck_wdth = int(nz * neck[0])
zcvty_wdth = int(nz * cavity[0])
zneck_hght = int(nx * neck[1])
zcvty_hght = int(nx * cavity[1])
neck_iz = int((nz - zneck_wdth) / 2)
cvty_iz = int((nz - zcvty_wdth) / 2)
if cavity[0] + neck[0] > 0.98 or cavity[1] + neck[1] > 0.98:
raise _exceptions.TemplateConstructionError(
"resonator must be smaller than the domain")
geo = [
Obstacle([0, 0, cvty_ix, xcvty_hght], 'WWWW'),
Obstacle([cvty_ix + xcvty_wdth, 0, nx - 1, xcvty_hght], 'WWWW'),
Obstacle([0, xcvty_hght, neck_ix, xcvty_hght + xneck_hght], 'WWWW'),
Obstacle([
neck_ix + xneck_wdth, xcvty_hght, nx - 1, xcvty_hght + xneck_hght
], 'WWWW'),
Obstacle([nx - zcvty_hght, xcvty_hght + xneck_hght, nx - 1, cvty_iz],
'WWWW'),
Obstacle([nx - zcvty_hght, cvty_iz + zcvty_wdth, nx - 1, nz - 1],
'WWWW'),
Obstacle([
nx - zcvty_hght - zneck_hght, neck_iz + zneck_wdth,
nx - zcvty_hght, nz - 1
], 'WWWW'),
Obstacle([
nx - zcvty_hght - zneck_hght, xcvty_hght + xneck_hght,
nx - zcvty_hght, neck_iz
], 'WWWW')
]
return Domain((nx, nz), data=geo)
def testcase2(nx, nz):
""" Geometry: Test case 2. Periodic bc. """
PML = 16
geo = [
Obstacle([0, 0, PML, PML], 'WWWW'),
Obstacle([0, PML + 23, PML, int(3 * nz / 4) - 5], 'WWWW'),
Obstacle([30, nz - PML - 1, int(nx / 2) + 10, nz - 1], 'WWWW'),
Obstacle([int(nx / 2), 0, int(3 * nx / 4), PML], 'WWWW'),
Obstacle([nx - PML - 1,
int(3 * nz / 4), nx - 1,
int(3 * nz / 4) + 10], 'WWWW')
]
return Domain((nx, nz), data=geo)
def plus(nx, nz, ix0=None, iz0=None, size=20):
""" Geometry: Plus sign.
Parameters
----------
nx : int
Width of the domain.
nz : int
Height of the domain.
ix0 : int, optional
x-location of the pattern.
iz0 : int, optional
z-location of the pattern.
size : int
Width of the pattern.
"""
if not ix0:
ix0 = nx / 2
if not iz0:
iz0 = nz / 2
if ix0 <= 1.5 * size or iz0 <= 0.5 * size:
msg = "Center of the plus must be greater than 1.5 time the size of a square"
raise _exceptions.TemplateConstructionError(msg)
ixstart = int(ix0 - 1.5 * size)
izstart = int(iz0 - 0.5 * size)
geo = [
Obstacle([ixstart, izstart, ixstart + size, izstart + size], 'WWWW'),
Obstacle(
[ixstart + 2 * size, izstart, ixstart + 3 * size, izstart + size],
'WWWW'),
Obstacle([ixstart + size, izstart - size, ixstart + 2 * size, izstart],
'WWWW'),
Obstacle([
ixstart + size, izstart + size, ixstart + 2 * size,
izstart + 2 * size
], 'WWWW')
]
return Domain((nx, nz), data=geo)
def testcase1(nx, nz):
""" Geometry: Test case 1. Complex geometry. """
geo = [
Obstacle([0, 0, 60, 40], 'WWWW'),
Obstacle([26, 40, 33, 50], 'WWWW'),
Obstacle([56, 40, 60, 60], 'WWWW'),
Obstacle([100, 80, 120, 90], 'WWWW'),
Obstacle([90, 26, 110, 36], 'WWWW'),
Obstacle([nx - 90, nz - 90, nx - 60, nz - 1], 'WWWW'),
Obstacle([nx - 60, nz - 17, nx - 1, nz - 1], 'WWWW'),
Obstacle([nx - 60, nz - 44, nx - 30, nz - 40], 'WWWW'),
Obstacle([nx - 60, nz - 80, nx - 40, nz - 67], 'WWWW')
]
return Domain((nx, nz), data=geo)
def moving_square(nx, nz, size_percent=20):
""" Geometry: Square with moving bc.
Parameters
----------
nx : int
Width of the domain.
nz : int
Height of the domain.
size_percent : float
size of the square (percent of the largest dimension of the domain).
"""
size = int(min(nx, nz) * size_percent / 100)
obs1 = Obstacle([
int(nx / 2) - size,
int(nz / 2) - size,
int(nx / 2) + size,
int(nz / 2) + size
], 'VVWV')
obs2 = Obstacle([nx - 11, 0, nx - 1, nz - 1], 'VWWW')
obs1.set_moving_bc({
'f': 70000,
'A': 1,
'func': 'sine'
}, {
'f': 30000,
'A': -1,
'func': 'tukey'
}, {
'f': 30000,
'A': 1,
'func': 'tukey'
})
obs2.set_moving_bc({'f': 73000, 'A': -1, 'func': 'flat'})
return Domain((nx, nz), data=[obs1, obs2])
def square(nx, nz, size_percent=20):
""" Geometry: Square at the center of the domain.
Parameters
----------
nx : int
Width of the domain.
nz : int
Height of the domain.
size_percent : float
size of the square (percent of the largest dimension of the domain).
"""
size = int(min(nx, nz) * size_percent / 100)
geo = [
Obstacle([
int(nx / 2) - size,
int(nz / 2) - size,
int(nx / 2) + size,
int(nz / 2) + size
], 'WWWW')
]
return Domain((nx, nz), data=geo)
def street(nx, nz):
""" Geometry: Street model.
Parameters
----------
nx : int
Width of the domain.
nz : int
Height of the domain.
"""
geo = [
Obstacle([0, 0, int(0.7 * nx), int(nz * 0.25)], 'WWWW'),
Obstacle([int(0.8 * nx), 0, nx - 1,
int(nz * 0.25)], 'WWWW'),
Obstacle([0, int(nz * 0.75), nx - 1, nz - 1], 'WWWW'),
Obstacle(
[int(0.11 * nx),
int(nz * 0.7),
int(0.15 * nx),
int(0.75 * nz)], 'WWWW'),
Obstacle(
[int(0.35 * nx),
int(nz * 0.69),
int(0.50 * nx),
int(0.75 * nz)], 'WWWW'),
Obstacle(
[int(0.60 * nx),
int(nz * 0.72),
int(0.70 * nx),
int(0.75 * nz)], 'WWWW'),
Obstacle(
[int(0.80 * nx),
int(nz * 0.73),
int(0.89 * nx),
int(0.75 * nz)], 'WWWW'),
Obstacle(
[int(0.80 * nx),
int(nz * 0.25),
int(0.89 * nx),
int(0.30 * nz)], 'WWWW'),
Obstacle(
[int(0.13 * nx),
int(nz * 0.25),
int(0.20 * nx),
int(0.30 * nz)], 'WWWW'),
Obstacle(
[int(0.30 * nx),
int(nz * 0.25),
int(0.38 * nx),
int(0.28 * nz)], 'WWWW'),
Obstacle(
[int(0.55 * nx),
int(nz * 0.25),
int(0.70 * nx),
int(0.28 * nz)], 'WWWW')
]
return Domain((nx, nz), data=geo)