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Thermal2#
Transient thermal simulation.


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==================== Mesh ====================
Element type: HEXA8
Ne = 940, Nn = 1584, dof = 4752
==================== Model ====================
Thermal :
thermal conductivity (k) : 1
thermal mass capacity (c) : 1
solver : pypardiso
============= Boundary Conditions =============
Unspecified.
=================== Results ===================
Unspecified.
=================== TicTac ===================
Mesh : 67.801 ms
Boundary Conditions : 22.173 µs
Matrix : 22.875 ms
Solver : 1.516 s
Display : 194.329 ms
PyVista_Interface : 12.657 s
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Generate movie 51/51 (100.00 %) 0.00 µs
12 from EasyFEA import (
13 Display,
14 Folder,
15 Models,
16 plt,
17 np,
18 Mesher,
19 ElemType,
20 Simulations,
21 PyVista,
22 )
23 from EasyFEA.Geoms import Line, Domain, Point
24
25 if __name__ == "__main__":
26 Display.Clear()
27
28 # ----------------------------------------------
29 # Configuration
30 # ----------------------------------------------
31
32 # outputs
33 folder = Folder.Join(Folder.RESULTS_DIR, "Thermal", "Thermal2")
34 makeMovie = True
35 result = "thermal"
36
37 # geom
38 R = 10
39 e = 2
40 h = 10
41 a = 1
42
43 # load
44 Tmax = 5
45 N = 50
46 dt = Tmax / N
47
48 # ----------------------------------------------
49 # Mesh
50 # ----------------------------------------------
51 domain = Domain(Point(R), Point(R + e, h), e / 2)
52 axis = Line(Point(), Point(0, 1, 0))
53
54 # Generate the mesh based on the specified dimension
55 angle = 360 * 3 / 4
56 mesh = Mesher().Mesh_Revolve(
57 domain,
58 [],
59 axis,
60 angle,
61 [angle * np.pi / 180 * R / domain.meshSize],
62 elemType=ElemType.HEXA8,
63 isOrganised=True,
64 )
65
66 nodesY0 = mesh.Nodes_Conditions(lambda x, y, z: y == 0)
67 nodesYH = mesh.Nodes_Conditions(lambda x, y, z: y == h)
68
69 # ----------------------------------------------
70 # Simulation
71 # ----------------------------------------------
72 thermalModel = Models.Thermal(k=1, c=1)
73 simu = Simulations.ThermalSimu(mesh, thermalModel, False)
74 simu.rho = 1
75
76 simu.add_surfLoad(nodesY0, [5], ["t"])
77 simu.add_surfLoad(nodesYH, [5], ["t"])
78
79 # Set the parabolic algorithm for the solver
80 simu.Solver_Set_Parabolic_Algorithm(alpha=0.5, dt=dt)
81
82 simu._Set_solutions(simu.problemType, np.ones(mesh.Nn) * -10)
83
84 print()
85 t = -dt # init time
86 while t < Tmax:
87 t += dt
88
89 simu.Solve()
90 simu.Save_Iter()
91
92 print(f"{t:.3f} s", end="\r")
93
94 # ----------------------------------------------
95 # Results
96 # ----------------------------------------------
97 print(simu)
98
99 Display.Plot_Result(simu, result, plotMesh=True, nodeValues=True, folder=folder)
100
101 if makeMovie:
102 PyVista.Movie_simu(simu, result, folder, f"{result}.gif", plotMesh=True)
103
104 plt.show()
Total running time of the script: (0 minutes 11.713 seconds)