def new_mwe_and_field(self, name, indices=[], where=None, initial_values=set_to_zero): if where == None: where = self.where element = nfem.make_element(name, indices, self.mesh.dim, self.order) associations = list((body_nr, element) for body_nr in where) mwe = nfem.make_mwe(name, associations, mesh=self.mesh) field = nfem.make_field(mwe, initial_values=field_function(initial_values)) self.mwes[name] = mwe self.fields[name] = field return (mwe, field)
def new_mwe_and_field(self,
name,
indices=[],
where=None,
initial_values=set_to_zero):
if where == None: where = self.where
element = nfem.make_element(name, indices, self.mesh.dim, self.order)
associations = list((body_nr, element) for body_nr in where)
mwe = nfem.make_mwe(name, associations, mesh=self.mesh)
field = nfem.make_field(mwe,
initial_values=field_function(initial_values))
self.mwes[name] = mwe
self.fields[name] = field
return (mwe, field)
the_mesh = nmesh.mesh(
objects=[halfring],
cache_name="halfring",
a0=0.2,
bounding_box=[[-4.0, -4], [4.0, 4.0]],
neigh_force_scale=1.,
initial_settling_steps=50,
max_relaxation=4,
max_steps=400)
nfem.set_default_mesh(the_mesh)
the_mesh.save("themesh.nmesh")
# conductivity (scalar)
element_sigma = nfem.make_element("sigma", [])
element_drho_by_dt = nfem.make_element("drho_by_dt", [])
element_phi = nfem.make_element("phi", [])
element_J = nfem.make_element("J", [2])
mwe_sigma = nfem.make_mwe("mwe_sigma", [(1, element_sigma)])
mwe_drho_by_dt = nfem.make_mwe("mwe_drho_by_dt", [(1, element_drho_by_dt)])
mwe_phi = nfem.make_mwe("mwe_phi", [(1, element_phi)])
mwe_J = nfem.make_mwe("mwe_J", [(1, element_J)])
diffop_laplace = nfem.diffop("-<d/dxj drho_by_dt|sigma|d/dxj phi>, j:2")
diffop_J = nfem.diffop("<J(k)|sigma|d/dxk phi>, k:2")
def fun_sigma0(dof_name_indices, position):
return sigma0
density = density,
initial_settling_steps = 50,
max_relaxation = 4,
# callback=(my_function, N),
# max_steps=677
max_steps=200
)
nfem.set_default_mesh(the_mesh)
##### Making the elements... #####
empty_element=ocaml.empty_element;
# conductivity (scalar)
element_sigma = nfem.make_element("sigma",[]);
element_drho_by_dt= nfem.make_element("drho_by_dt",[]);
element_phi = nfem.make_element("phi",[]);
element_J = nfem.make_element("J",[2]);
mwe_sigma = nfem.make_mwe("mwe_sigma", [(1,element_sigma)])
mwe_drho_by_dt = nfem.make_mwe("mwe_drho_by_dt",[(1,element_drho_by_dt)])
mwe_phi = nfem.make_mwe("mwe_phi", [(1,element_phi)])
mwe_J = nfem.make_mwe("mwe_J", [(1,element_J)])
diffop_laplace=nfem.diffop("-<d/dxj drho_by_dt|sigma|d/dxj phi>, j:2")
diffop_J=nfem.diffop("<J(k)|sigma|d/dxk phi>, k:2")
# Initial conductivity is spatially constant:
def fun_sigma0(dof_name_indices,position):
the_mesh = nmesh.mesh(objects = [ball],
cache_name="bem-ball",
a0=1.0,
bounding_box=[[-5.0,-5.0,-5.0],[5.0,5.0,5.0]],
neigh_force_scale = 1.,
density = density,
initial_settling_steps = 50,
max_relaxation = 4,
max_steps=500
)
nfem.set_default_mesh(the_mesh)
##### Making the elements... #####
element_M = nfem.make_element("M",[3]);
element_H = nfem.make_element("H",[3]);
element_rho_M = nfem.make_element("rho_M",[]);
element_phi_M = nfem.make_element("phi_M",[]);
mwe_M = nfem.make_mwe("mwe_M", [(1,element_M)])
mwe_H = nfem.make_mwe("mwe_H", [(1,element_H)])
mwe_rho_M = nfem.make_mwe("mwe_rho_M", [(1,element_rho_M)])
mwe_phi_M = nfem.make_mwe("mwe_phi_M", [(1,element_phi_M)])
log.info("OK 1!")
# Initial magnetization is spatially constant: M=(1 0 0)
#def fun_M0(dof_name_indices,pos):
# r=math.sqrt(pos[0]*pos[0]+pos[1]*pos[1]+pos[2]*pos[2])
the_mesh = nmesh.mesh(
objects=[bar],
cache_name="bar-mesh3",
a0=0.7,
bounding_box=[[-6.0, -3.0, -3.0], [6.0, 3.0, 3.0]],
neigh_force_scale=1.,
# density = density,
initial_settling_steps=50,
max_relaxation=4,
# callback=(my_function, N),
# max_steps=677
max_steps=500)
nfem.set_default_mesh(the_mesh)
element_M = nfem.make_element("M", [3])
element_H = nfem.make_element("H", [3])
mwe_M = nfem.make_mwe("mwe_M", [(1, element_M)])
mwe_H = nfem.make_mwe("mwe_H", [(1, element_H)])
diffop_v_laplace = nfem.diffop("-<d/dxj H(k) || d/dxj M(k)>, j:3, k:3")
# Note that this magnetization is "mostly zero":
def fun_M0(dof_name_indices, position):
if dof_name_indices[1][0] == 1: # y-direction
x = position[0]
return 1.0 / (1.0 + (x * x / 4.0))
else:
return 0.0
the_mesh = nmesh.mesh(objects = [bar],
cache_name="bar-mesh3",
a0=0.7,
bounding_box=[[-6.0,-3.0,-3.0],[6.0,3.0,3.0]],
neigh_force_scale = 1.,
# density = density,
initial_settling_steps = 50,
max_relaxation = 4,
# callback=(my_function, N),
# max_steps=677
max_steps=500
)
nfem.set_default_mesh(the_mesh)
element_M = nfem.make_element("M",[3])
element_H = nfem.make_element("H",[3])
mwe_M = nfem.make_mwe("mwe_M", [(1,element_M)])
mwe_H = nfem.make_mwe("mwe_H", [(1,element_H)])
diffop_v_laplace = nfem.diffop("-<d/dxj H(k) || d/dxj M(k)>, j:3, k:3")
# Note that this magnetization is "mostly zero":
def fun_M0(dof_name_indices,position):
if dof_name_indices[1][0]==1: # y-direction
x=position[0]
return 1.0/(1.0+(x*x/4.0))
else:
return 0.0
a0=0.4,
bounding_box=[[-5.0,-5.0,-0.3],[5.0,5.0,0.3]],
neigh_force_scale = 1.,
density = density,
initial_settling_steps = 50,
max_relaxation = 4,
max_steps=500
)
# === The 2.5d computation ===
nfem.set_default_mesh(mesh_2d)
##### Making the elements... #####
elem2d_M = nfem.make_element("M",[3],dim=2);
elem2d_H = nfem.make_element("H",[3],dim=2);
elem2d_rho_M = nfem.make_element("rho_M",[],dim=2);
elem2d_phi_M = nfem.make_element("phi_M",[],dim=2);
mwe2d_M = nfem.make_mwe("mwe2d_M", [(1,elem2d_M)])
mwe2d_H = nfem.make_mwe("mwe2d_H", [(1,elem2d_H)])
mwe2d_rho_M = nfem.make_mwe("mwe2d_rho_M", [(1,elem2d_rho_M)])
mwe2d_phi_M = nfem.make_mwe("mwe2d_phi_M", [(1,elem2d_phi_M)])
#This is " $\ laplace -phi = =rho_M$
pmx2d_laplace=nfem.prematrix(diffop_laplace,mwe2d_rho_M,mwe2d_phi_M)
pmx2d_div_M=nfem.prematrix(diffop_div_M,mwe2d_rho_M,mwe2d_M,ignore_jumps=False)
pmx2d_grad_phi=nfem.prematrix(diffop_grad_phi,mwe2d_H,mwe2d_phi_M)
solve_bem_2d=nfem.laplace_solver_bem(pmx2d_laplace,inside_regions=[1], thickness=thickness2d)
the_mesh = nmesh.mesh(objects = [bar],
cache_name="bar-mesh3",
a0=0.7,
bounding_box=[[-6.0,-3.0,-3.0],[6.0,3.0,3.0]],
neigh_force_scale = 1.,
# density = density,
initial_settling_steps = 50,
max_relaxation = 4,
# callback=(my_function, N),
# max_steps=677
max_steps=500
)
nfem.set_default_mesh(the_mesh)
element_M = nfem.make_element("M",[3])
element_M2 = nfem.make_element("M2",[3],ord=2)
element_H = nfem.make_element("H",[3])
mwe_M = nfem.make_mwe("mwe_M", [(1,element_M)])
mwe_M2 = nfem.make_mwe("mwe_M2", [(1,element_M2)])
mwe_H = nfem.make_mwe("mwe_H", [(1,element_H)])
diffop_v_laplace = nfem.diffop("-<d/dxj H(k) || d/dxj M(k)>, j:3, k:3")
print "Made MWEs"
sys.stdout.flush()
# Note that this magnetization is "mostly zero":
def fun_M0(dof_name_indices,position):
if dof_name_indices[1][0]==1: # y-direction
def new_mwe(self, name, indices=[], where=None): if where == None: where = self.where element = nfem.make_element(name, indices, self.mesh.dim, self.order) associations = list((body_nr, element) for body_nr in where) mwe = nfem.make_mwe(name, associations, mesh=self.mesh) return mwe
def new_mwe(self, name, indices=[], where=None):
if where == None: where = self.where
element = nfem.make_element(name, indices, self.mesh.dim, self.order)
associations = list((body_nr, element) for body_nr in where)
mwe = nfem.make_mwe(name, associations, mesh=self.mesh)
return mwe
the_mesh = nmesh.mesh(
objects=[bar],
cache_name="bar-mesh3",
a0=0.7,
bounding_box=[[-6.0, -3.0, -3.0], [6.0, 3.0, 3.0]],
neigh_force_scale=1.,
# density = density,
initial_settling_steps=50,
max_relaxation=4,
# callback=(my_function, N),
# max_steps=677
max_steps=500)
nfem.set_default_mesh(the_mesh)
element_M = nfem.make_element("M", [3])
element_M2 = nfem.make_element("M2", [3], ord=2)
element_H = nfem.make_element("H", [3])
mwe_M = nfem.make_mwe("mwe_M", [(1, element_M)])
mwe_M2 = nfem.make_mwe("mwe_M2", [(1, element_M2)])
mwe_H = nfem.make_mwe("mwe_H", [(1, element_H)])
diffop_v_laplace = nfem.diffop("-<d/dxj H(k) || d/dxj M(k)>, j:3, k:3")
print "Made MWEs"
sys.stdout.flush()
# Note that this magnetization is "mostly zero":
def fun_M0(dof_name_indices, position):
the_mesh = nmesh.mesh(objects=[ball],
cache_name="bem-ball",
a0=1.0,
bounding_box=[[-5.0, -5.0, -5.0], [5.0, 5.0, 5.0]],
neigh_force_scale=1.,
density=density,
initial_settling_steps=50,
max_relaxation=4,
max_steps=500)
nfem.set_default_mesh(the_mesh)
##### Making the elements... #####
element_M = nfem.make_element("M", [3])
element_H = nfem.make_element("H", [3])
element_rho_M = nfem.make_element("rho_M", [])
element_phi_M = nfem.make_element("phi_M", [])
mwe_M = nfem.make_mwe("mwe_M", [(1, element_M)])
mwe_H = nfem.make_mwe("mwe_H", [(1, element_H)])
mwe_rho_M = nfem.make_mwe("mwe_rho_M", [(1, element_rho_M)])
mwe_phi_M = nfem.make_mwe("mwe_phi_M", [(1, element_phi_M)])
log.info("OK 1!")
# Initial magnetization is spatially constant: M=(1 0 0)
#def fun_M0(dof_name_indices,pos):
# r=math.sqrt(pos[0]*pos[0]+pos[1]*pos[1]+pos[2]*pos[2])
