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Thermal2#
Transient thermal simulation.


Volume: 0.913
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==================== Mesh ====================
Element type: PRISM18
Ne = 288, Nn = 1512
==================== Model ====================
Thermal :
thermal conductivity (k) : 1
thermal mass capacity (c) : 1
solver : pypardiso
============= Boundary Conditions =============
Unspecified.
=================== Results ===================
Unspecified.
=================== TicTac ===================
Mesh : 131.985 ms
Boundary Conditions : 39.816 µs
Matrix : 39.946 ms
Solver : 344.550 ms
PyVista_Interface : 77.124 ms
Generate movie 0/50
Generate movie 1/50 (2.00 %) 13.12 s
Generate movie 2/50 (4.00 %) 12.51 s
Generate movie 3/50 (6.00 %) 12.53 s
Generate movie 4/50 (8.00 %) 12.24 s
Generate movie 5/50 (10.00 %) 12.08 s
Generate movie 6/50 (12.00 %) 11.88 s
Generate movie 7/50 (14.00 %) 11.56 s
Generate movie 8/50 (16.00 %) 11.23 s
Generate movie 9/50 (18.00 %) 10.89 s
Generate movie 10/50 (20.00 %) 10.05 s
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Generate movie 12/50 (24.00 %) 10.08 s
Generate movie 13/50 (26.00 %) 9.80 s
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Generate movie 20/50 (40.00 %) 7.99 s
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Generate movie 42/50 (84.00 %) 2.15 s
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Generate movie 47/50 (94.00 %) 789.80 ms
Generate movie 48/50 (96.00 %) 534.43 ms
Generate movie 49/50 (98.00 %) 267.99 ms
Generate movie 50/50 (100.00 %) 0.00 µs
12 from EasyFEA import Display, Folder, Models, Mesher, ElemType, Simulations, PyVista
13 from EasyFEA.Geoms import Circle, Domain, Point
14
15 if __name__ == "__main__":
16 Display.Clear()
17
18 # ----------------------------------------------
19 # Configuration
20 # ----------------------------------------------
21 dim = 3 # Set the simulation dimension (2D or 3D)
22
23 # outputs
24 folder = Folder.Join(Folder.RESULTS_DIR, "Thermal", "Thermal2")
25 makeMovie = True
26 result = "thermal"
27
28 # geom
29 a = 1
30
31 # load
32 Tmax = 0.5
33 N = 50
34 dt = Tmax / N
35
36 # ----------------------------------------------
37 # Mesh
38 # ----------------------------------------------
39 domain = Domain(Point(), Point(a, a), a / 4)
40 circle = Circle(Point(a / 2, a / 2), diam=a / 3, isHollow=True, meshSize=a / 4)
41
42 if dim == 2:
43 mesh = Mesher().Mesh_2D(domain, [circle], ElemType.TRI6)
44 else:
45 mesh = Mesher().Mesh_Extrude(
46 domain, [circle], [0, 0, -a], [4], ElemType.PRISM18
47 )
48
49 nodesX0 = mesh.Nodes_Conditions(lambda x, y, z: x == 0)
50 nodesXa = mesh.Nodes_Conditions(lambda x, y, z: x == a)
51 nodesCircle = mesh.Nodes_Cylinder(circle, [0, 0, -1])
52
53 if dim == 3:
54 print(f"Volume: {mesh.volume:.3}")
55
56 # ----------------------------------------------
57 # Simulation
58 # ----------------------------------------------
59 thermalModel = Models.Thermal(k=1, c=1, thickness=1)
60 simu = Simulations.ThermalSimu(mesh, thermalModel, False)
61 simu.rho = 1
62
63 simu.add_dirichlet(nodesX0, [0], ["t"])
64 simu.add_dirichlet(nodesXa, [40], ["t"])
65
66 # Set the parabolic algorithm for the solver
67 simu.Solver_Set_Parabolic_Algorithm(alpha=0.5, dt=dt)
68
69 t = -dt # init time
70 while t < Tmax:
71 t += dt
72
73 simu.Solve()
74 simu.Save_Iter()
75
76 print(f"{t:.3f} s", end="\r")
77
78 # ----------------------------------------------
79 # Results
80 # ----------------------------------------------
81 print(simu)
82
83 PyVista.Plot(simu, result, plotMesh=True, nodeValues=True).show()
84
85 if makeMovie:
86 PyVista.Movie_simu(simu, result, folder, f"{result}.gif", plotMesh=True)
Total running time of the script: (0 minutes 22.204 seconds)