density = "density=1.;"
the_mesh = nmesh.mesh(objects = [boxed_rings],
cache_name="rings-mesh",
a0=0.3,
bounding_box=[[-10.0,-3.5],[10.0,3.5]],
neigh_force_scale = 1.,
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)])
ring = nmesh.difference(
nmesh.ellipsoid([4.0, 4.0]), [nmesh.ellipsoid([2.5, 2.5])])
halfring = nmesh.intersect([ring, nmesh.box([-4.0, -0.0], [4.0, 4.0])])
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")
)
mesh_3d = nmesh.mesh(objects = [double_disc_3d],
cache_name="double-disc-3d",
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)