if(abs(coords[1]) > (2.5-0.05)): return 1 else: return 0 def laplace_dbc_values(dof_name_indices,coords): if(coords[1] > 0.0): return 1.0 else: return -1.0 cofield_drho_by_dt=nfem.make_cofield(mwe_drho_by_dt) prematrix_laplace=nfem.prematrix(diffop_laplace, mwe_drho_by_dt,mwe_phi, mwe_mid=mwe_sigma) prematrix_J=nfem.prematrix(diffop_J, mwe_J,mwe_phi, mwe_mid=mwe_sigma) # Note the ignore_jumps parameter: # we indeed ARE interested just in the # surface outflow of electrical current! code_recompute_conductivity=""" double len2_J, sprod_HJ, cos2; double len2_H=H_x*H_x+H_y*H_y;
if x > 0: if y < 0.0 + 0.05: #this shouldn't necessary return 0.0 if x < 0: if y < 0.0 + 0.05: #this shouldn't necessary return -1.0 else: print "unused laplace_dbc at x =", x, "and y =", y raise StandardError, "this place can't be reached" cofield_drho_by_dt = nfem.make_cofield(mwe_drho_by_dt) print "1" prematrix_laplace = nfem.prematrix( diffop_laplace, mwe_drho_by_dt, mwe_phi, mwe_mid=mwe_sigma) print "2" prematrix_J = nfem.prematrix(diffop_J, mwe_J, mwe_phi, mwe_mid=mwe_sigma) print "3" compute_J = nfem.prematrix_applicator(prematrix_J, field_mid=field_sigma) print "4" laplace_solver = nfem.laplace_solver( prematrix_laplace, dirichlet_bcs=[(-1, 1, laplace_dbc)], mwe_mid=field_sigma) print "5" field_phi = laplace_solver(cofield_drho_by_dt, dbc_values=laplace_dbc_values) print "6"
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 field_M = nfem.make_field(mwe_M, fun_M0) prematrix_v_laplace = nfem.prematrix(diffop_v_laplace, mwe_H, mwe_M) v_laplace = nfem.prematrix_applicator(prematrix_v_laplace) field_H = nfem.cofield_to_field(v_laplace(field_M)) range_i = 100 # nfem.field_print_contents(field_H) for i in range(0, range_i): pos = [-4.5 + 9.0 * i / (0.0 + range_i), 0.0, 0.0] field_val = nfem.probe_field(field_H, "H", pos) print pos[0], " ", field_val[1] #for i in range(0,range_i):
def fun_M0(dof_name_indices,pos): if dof_name_indices[1][0] == 0: return 1.0 else: return 0.0 diffop_laplace=nfem.diffop("-<d/dxj rho_M||d/dxj phi_M>, j:3") diffop_div_M=nfem.diffop("<rho_M||d/dxj M(j)>, j:3") diffop_grad_phi=nfem.diffop("<H(j)||d/dxj phi_M>, j:3") log.info("OK 2!") #This is " $\ laplace -phi = =rho_M$ prematrix_laplace=nfem.prematrix(diffop_laplace,mwe_rho_M,mwe_phi_M) prematrix_div_M=nfem.prematrix(diffop_div_M,mwe_rho_M,mwe_M,ignore_jumps=False) prematrix_grad_phi=nfem.prematrix(diffop_grad_phi,mwe_H,mwe_phi_M) log.info("OK 3!") solve_bem=nfem.laplace_solver_bem(prematrix_laplace,inside_regions=[1]) log.info("OK 4!") compute_div_M=nfem.prematrix_applicator(prematrix_div_M,interface_coeffs=[(1,-1,1.0)]) compute_grad_phi=nfem.prematrix_applicator(prematrix_grad_phi) log.info("OK 5!") field_M0=nfem.make_field(mwe_M,fun_M0)
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) compute_div_M_2d=nfem.prematrix_applicator(pmx2d_div_M,interface_coeffs=[(1,-1,1.0)]) compute_grad_phi_2d=nfem.prematrix_applicator(pmx2d_grad_phi) field2d_M0=nfem.make_field(mwe2d_M,fun_M0) cofield2d_div_M=compute_div_M_2d(field2d_M0) field2d_phi_M=solve_bem_2d(cofield2d_div_M) field2d_H=nfem.cofield_to_field(compute_grad_phi_2d(field2d_phi_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 field_M=nfem.make_field(mwe_M,fun_M0) prematrix_v_laplace=nfem.prematrix(diffop_v_laplace,mwe_H,mwe_M) v_laplace=nfem.prematrix_applicator(prematrix_v_laplace) field_H=nfem.cofield_to_field(v_laplace(field_M)) range_i=100 # nfem.field_print_contents(field_H) for i in range(0,range_i): pos=[-4.5+9.0*i/(0.0+range_i),0.0,0.0] field_val=nfem.probe_field(field_H,"H",pos) print pos[0], " ", field_val[1]
if(abs(coords[1]) > (2.5-0.05)): return 1 else: return 0 def laplace_dbc_values(dof_name_indices,coords): if(coords[1] > 0.0): return 5.0 else: return -5.0 cofield_drho_by_dt=nfem.make_cofield(mwe_drho_by_dt) prematrix_laplace=nfem.prematrix(diffop_laplace, mwe_drho_by_dt,mwe_phi, mwe_mid=mwe_sigma) prematrix_J=nfem.prematrix(diffop_J, mwe_J,mwe_phi, mwe_mid=mwe_sigma) prematrix_div_J=nfem.prematrix(diffop_div_J, mwe_drho_by_dt,mwe_J, ignore_jumps=False) # Note the ignore_jumps parameter: # we indeed ARE interested just in the # surface outflow of electrical current!
if(abs(coords[1]) > (2.5-0.05)): return 1 else: return 0 def laplace_dbc_values(dof_name_indices,coords): if(coords[1] > 0.0): return 1.0 else: return -1.0 cofield_drho_by_dt=nfem.make_cofield(mwe_drho_by_dt) prematrix_laplace=nfem.prematrix(diffop_laplace, mwe_drho_by_dt,mwe_phi, mwe_mid=mwe_sigma) prematrix_J=nfem.prematrix(diffop_J, mwe_J,mwe_phi, mwe_mid=mwe_sigma) prematrix_div_J=nfem.prematrix(diffop_div_J, mwe_drho_by_dt,mwe_J, ignore_jumps=False) # Note the ignore_jumps parameter: # we indeed ARE interested just in the # surface outflow of electrical current!
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 # MMM field_M2=nfem.make_field(mwe_M2,fun_M0) print "Made M2" sys.stdout.flush() diffop_m_m2 = nfem.diffop("<M(j) || M2(j)>, j:3") prematrix_m_m2=nfem.prematrix(diffop_m_m2,mwe_M,mwe_M2) print "Made M2->M prematrix" sys.stdout.flush() m_m2=nfem.prematrix_applicator(prematrix_m_m2) field_M=nfem.cofield_to_field(m_m2(field_M2)) print "Have field_M" sys.stdout.flush() # MMM
def setup(self): '''This function should be called after the method 'set' to setup the simulation (create the fields, the operators and so on)''' # Should not do initializizations more than once if self.is_ready: return mwe_m, field_m = self.new_mwe_and_field("m", [3], initial_values=self.initial_mag) mwe_h_total, field_h_total = self.new_mwe_and_field("h_total", [3]) if self.features["include_demag"]: self.new_field("h_demag", indices=[3]) if self.features["include_exchange"]: self.new_field("h_exch", indices=[3]) if self.features["external_field"]: h0 = self.features["external_field"] self.new_field("h_ext", indices=[3], initial_values=h0) # The demag field if self.features["include_demag"]: if self.mesh.dim != 3: raise "Sorry, the demag-calculation is implemented only for 3-D space." mwe_h_demag = self.mwes["h_demag"] field_h_demag = self.fields["h_demag"] mwe_scalar = self.new_mwe("scalar") mwe_rho_m = nfem.mwe_sibling(mwe_scalar, "mwe_rho_m", "renamed_scalar", [("scalar", "rho_m")]) mwe_phi_m = nfem.mwe_sibling(mwe_scalar, "mwe_phi_m", "renamed_scalar", [("scalar", "phi_m")]) field_div_m = nfem.make_field(mwe_rho_m) field_phi_m = nfem.make_field(mwe_phi_m) diffop_div_m_str = "%f <rho_m||d/dxj m(j)>, j:3" % self.m_sat print diffop_div_m_str compute_div_m = \ nfem.diffop_applicator(diffop_div_m_str, mwe_rho_m, mwe_m, interface_coeffs=[(-2,-2,1.0)], petsc_name="mumag_div_m") prematrix_laplace = \ nfem.prematrix("-<d/dxj rho_m||d/dxj phi_m>, j:3", mwe_rho_m, mwe_phi_m) solve_bem = \ nfem.laplace_solver_bem(prematrix_laplace, inside_regions=self.where) compute_grad_phi = \ nfem.diffop_applicator("<h_demag(j)||d/dxj phi_m>, j:3", mwe_h_demag, mwe_phi_m, result="field") cofield_div_m = compute_div_m(self.fields["m"]) solve_bem(cofield_div_m, target=field_phi_m) compute_grad_phi(field_phi_m, target=field_h_demag) def calculate_h_demag(): compute_div_m(self.fields["m"], target=cofield_div_m) solve_bem(cofield_div_m, target=field_phi_m) compute_grad_phi(field_phi_m, target=field_h_demag) self.calculate_h_demag = calculate_h_demag # Now we add the exchange and demag fields if needed if self.features["include_exchange"]: if not self.features["exchange_coupling"]: raise "You want to include exchange interaction, " + \ "but you did not specify the exchange coupling constant!" ec = self.features["exchange_coupling"] if ec < 0.0: raise "Error: you specified a negative exchange coupling constant." mwe_h_exch = self.mwes["h_exch"] field_h_exch = self.fields["h_exch"] exch_factor = -2.0*ec/self.m_sat_mu0 op_str = "%f <d/dxi h_exch(j) || d/dxi m(j)>, i:%d, j:3" % (exch_factor, self.mesh.dim) op_h_exch = nfem.diffop(op_str) p = nfem.prematrix(op_h_exch, mwe_h_exch, mwe_m, ignore_jumps=True) compute_h_exch = nfem.prematrix_applicator(p) h_exch_cofield = compute_h_exch(field_m) nfem.cofield_to_field(h_exch_cofield, target=field_h_exch) def calculate_h_exch(): compute_h_exch(field_m, target=h_exch_cofield) nfem.cofield_to_field(h_exch_cofield, target=field_h_exch) self.calculate_h_exch = calculate_h_exch # Create the C-functions which performs the different parts # of the computation some_names = ["m", "h_total"] some_mwes = self.mwe_list(some_names) some_fields = self.field_list(some_names) if self.uniaxial_anis: args = ["m_sat_mu0", "axis_x", "axis_y", "axis_z", "k1", "k2"] c_uniaxial = nfem.site_wise_applicator(args, ccode_uniaxial, field_mwes=some_mwes) def calculate_uniaxial_anis(): for ua in self.uniaxial_anis: axis, k1, k2 = ua axis_x, axis_y, axis_z = axis args_values = [self.m_sat_mu0, axis_x, axis_y, axis_z, k1, k2] c_uniaxial(args_values, fields=some_fields) self.calculate_uniaxial_anis = calculate_uniaxial_anis if self.cubic_anis: args = ["m_sat_mu0", "axis1_x", "axis1_y", "axis1_z", "axis2_x", "axis2_y", "axis2_z", "k1", "k2", "k3"] c_cubic = nfem.site_wise_applicator(args, ccode_cubic, field_mwes=some_mwes) def calculate_cubic_anis(): for ca in self.cubic_anis: axis1, axis2, k1, k2, k3 = ca axis1_x, axis1_y, axis1_z = axis1 axis2_x, axis2_y, axis2_z = axis2 args_values = [self.m_sat_mu0, axis1_x, axis1_y, axis1_z, axis2_x, axis2_y, axis2_z, k1, k2, k3] c_cubic(args_values, fields=some_fields) self.calculate_cubic_anis = calculate_cubic_anis more_names = ["h_total", "h_ext", "h_demag", "h_exch"] more_mwes = self.mwe_list(more_names) more_fields = self.field_list(more_names) add_fields = nfem.site_wise_applicator([], ccode_add_fields, field_mwes=more_mwes) def add_ext_demag_exch(): add_fields([], fields=more_fields) self.add_ext_demag_exch = add_ext_demag_exch if self.features["calculate_energy"]: swa_calculate_energy = \ nfem.site_wise_applicator(["energy"], ccode_calculate_energy, field_mwes=[mwe_m],cofield_mwes=[mwe_h_total]) cofield_h_total = nfem.field_to_cofield(field_h_total) def calculate_energy(): nfem.field_to_cofield(field_h_total, target=cofield_h_total) energy = swa_calculate_energy([0.0], fields=[field_m], cofields=[cofield_h_total]) return -self.m_sat_mu0*energy[0] self.__calculate_energy = calculate_energy self.is_ready = True
def setup(self): '''This function should be called after the method 'set' to setup the simulation (create the fields, the operators and so on)''' # Should not do initializizations more than once if self.is_ready: return mwe_m, field_m = self.new_mwe_and_field( "m", [3], initial_values=self.initial_mag) mwe_h_total, field_h_total = self.new_mwe_and_field("h_total", [3]) if self.features["include_demag"]: self.new_field("h_demag", indices=[3]) if self.features["include_exchange"]: self.new_field("h_exch", indices=[3]) if self.features["external_field"]: h0 = self.features["external_field"] self.new_field("h_ext", indices=[3], initial_values=h0) # The demag field if self.features["include_demag"]: if self.mesh.dim != 3: raise "Sorry, the demag-calculation is implemented only for 3-D space." mwe_h_demag = self.mwes["h_demag"] field_h_demag = self.fields["h_demag"] mwe_scalar = self.new_mwe("scalar") mwe_rho_m = nfem.mwe_sibling(mwe_scalar, "mwe_rho_m", "renamed_scalar", [("scalar", "rho_m")]) mwe_phi_m = nfem.mwe_sibling(mwe_scalar, "mwe_phi_m", "renamed_scalar", [("scalar", "phi_m")]) field_div_m = nfem.make_field(mwe_rho_m) field_phi_m = nfem.make_field(mwe_phi_m) diffop_div_m_str = "%f <rho_m||d/dxj m(j)>, j:3" % self.m_sat print diffop_div_m_str compute_div_m = \ nfem.diffop_applicator(diffop_div_m_str, mwe_rho_m, mwe_m, interface_coeffs=[(-2,-2,1.0)], petsc_name="mumag_div_m") prematrix_laplace = \ nfem.prematrix("-<d/dxj rho_m||d/dxj phi_m>, j:3", mwe_rho_m, mwe_phi_m) solve_bem = \ nfem.laplace_solver_bem(prematrix_laplace, inside_regions=self.where) compute_grad_phi = \ nfem.diffop_applicator("<h_demag(j)||d/dxj phi_m>, j:3", mwe_h_demag, mwe_phi_m, result="field") cofield_div_m = compute_div_m(self.fields["m"]) solve_bem(cofield_div_m, target=field_phi_m) compute_grad_phi(field_phi_m, target=field_h_demag) def calculate_h_demag(): compute_div_m(self.fields["m"], target=cofield_div_m) solve_bem(cofield_div_m, target=field_phi_m) compute_grad_phi(field_phi_m, target=field_h_demag) self.calculate_h_demag = calculate_h_demag # Now we add the exchange and demag fields if needed if self.features["include_exchange"]: if not self.features["exchange_coupling"]: raise "You want to include exchange interaction, " + \ "but you did not specify the exchange coupling constant!" ec = self.features["exchange_coupling"] if ec < 0.0: raise "Error: you specified a negative exchange coupling constant." mwe_h_exch = self.mwes["h_exch"] field_h_exch = self.fields["h_exch"] exch_factor = -2.0 * ec / self.m_sat_mu0 op_str = "%f <d/dxi h_exch(j) || d/dxi m(j)>, i:%d, j:3" % ( exch_factor, self.mesh.dim) op_h_exch = nfem.diffop(op_str) p = nfem.prematrix(op_h_exch, mwe_h_exch, mwe_m, ignore_jumps=True) compute_h_exch = nfem.prematrix_applicator(p) h_exch_cofield = compute_h_exch(field_m) nfem.cofield_to_field(h_exch_cofield, target=field_h_exch) def calculate_h_exch(): compute_h_exch(field_m, target=h_exch_cofield) nfem.cofield_to_field(h_exch_cofield, target=field_h_exch) self.calculate_h_exch = calculate_h_exch # Create the C-functions which performs the different parts # of the computation some_names = ["m", "h_total"] some_mwes = self.mwe_list(some_names) some_fields = self.field_list(some_names) if self.uniaxial_anis: args = ["m_sat_mu0", "axis_x", "axis_y", "axis_z", "k1", "k2"] c_uniaxial = nfem.site_wise_applicator(args, ccode_uniaxial, field_mwes=some_mwes) def calculate_uniaxial_anis(): for ua in self.uniaxial_anis: axis, k1, k2 = ua axis_x, axis_y, axis_z = axis args_values = [ self.m_sat_mu0, axis_x, axis_y, axis_z, k1, k2 ] c_uniaxial(args_values, fields=some_fields) self.calculate_uniaxial_anis = calculate_uniaxial_anis if self.cubic_anis: args = [ "m_sat_mu0", "axis1_x", "axis1_y", "axis1_z", "axis2_x", "axis2_y", "axis2_z", "k1", "k2", "k3" ] c_cubic = nfem.site_wise_applicator(args, ccode_cubic, field_mwes=some_mwes) def calculate_cubic_anis(): for ca in self.cubic_anis: axis1, axis2, k1, k2, k3 = ca axis1_x, axis1_y, axis1_z = axis1 axis2_x, axis2_y, axis2_z = axis2 args_values = [ self.m_sat_mu0, axis1_x, axis1_y, axis1_z, axis2_x, axis2_y, axis2_z, k1, k2, k3 ] c_cubic(args_values, fields=some_fields) self.calculate_cubic_anis = calculate_cubic_anis more_names = ["h_total", "h_ext", "h_demag", "h_exch"] more_mwes = self.mwe_list(more_names) more_fields = self.field_list(more_names) add_fields = nfem.site_wise_applicator([], ccode_add_fields, field_mwes=more_mwes) def add_ext_demag_exch(): add_fields([], fields=more_fields) self.add_ext_demag_exch = add_ext_demag_exch if self.features["calculate_energy"]: swa_calculate_energy = \ nfem.site_wise_applicator(["energy"], ccode_calculate_energy, field_mwes=[mwe_m],cofield_mwes=[mwe_h_total]) cofield_h_total = nfem.field_to_cofield(field_h_total) def calculate_energy(): nfem.field_to_cofield(field_h_total, target=cofield_h_total) energy = swa_calculate_energy([0.0], fields=[field_m], cofields=[cofield_h_total]) return -self.m_sat_mu0 * energy[0] self.__calculate_energy = calculate_energy self.is_ready = True
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 # MMM field_M2 = nfem.make_field(mwe_M2, fun_M0) print "Made M2" sys.stdout.flush() diffop_m_m2 = nfem.diffop("<M(j) || M2(j)>, j:3") prematrix_m_m2 = nfem.prematrix(diffop_m_m2, mwe_M, mwe_M2) print "Made M2->M prematrix" sys.stdout.flush() m_m2 = nfem.prematrix_applicator(prematrix_m_m2) field_M = nfem.cofield_to_field(m_m2(field_M2)) print "Have field_M" sys.stdout.flush() # MMM prematrix_v_laplace = nfem.prematrix(diffop_v_laplace, mwe_H, mwe_M)
def fun_M0(dof_name_indices, pos): if dof_name_indices[1][0] == 0: return 1.0 else: return 0.0 diffop_laplace = nfem.diffop("-<d/dxj rho_M||d/dxj phi_M>, j:3") diffop_div_M = nfem.diffop("<rho_M||d/dxj M(j)>, j:3") diffop_grad_phi = nfem.diffop("<H(j)||d/dxj phi_M>, j:3") log.info("OK 2!") #This is " $\ laplace -phi = =rho_M$ prematrix_laplace = nfem.prematrix(diffop_laplace, mwe_rho_M, mwe_phi_M) prematrix_div_M = nfem.prematrix(diffop_div_M, mwe_rho_M, mwe_M, ignore_jumps=False) prematrix_grad_phi = nfem.prematrix(diffop_grad_phi, mwe_H, mwe_phi_M) log.info("OK 3!") solve_bem = nfem.laplace_solver_bem(prematrix_laplace, inside_regions=[1]) log.info("OK 4!") compute_div_M = nfem.prematrix_applicator(prematrix_div_M, interface_coeffs=[(1, -1, 1.0)]) compute_grad_phi = nfem.prematrix_applicator(prematrix_grad_phi)