Thermal3#

Transient thermal simulation.

Thermal3Thermal3
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==================== Mesh ====================

Element type: HEXA8
Ne = 940, Nn = 1584

==================== Model ====================


Thermal :
thermal conductivity (k)  : 1
thermal mass capacity (c) : 1

solver : scipy

============= Boundary Conditions =============

Unspecified.

=================== Results ===================

Unspecified.

=================== TicTac ===================

Mesh : 72.989 ms
Boundary Conditions : 32.902 µs
Matrix : 24.587 ms
Solver : 827.459 ms
PyVista_Interface : 7.955 s

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12 from EasyFEA import Display, Folder, Models, np, Mesher, ElemType, Simulations, PyVista
13 from EasyFEA.Geoms import Line, Domain, Point
14
15 if __name__ == "__main__":
16     Display.Clear()
17
18     # ----------------------------------------------
19     # Configuration
20     # ----------------------------------------------
21
22     # outputs
23     folder = Folder.Join(Folder.RESULTS_DIR, "Thermal", "Thermal3")
24     makeMovie = True
25     result = "thermal"
26
27     # geom
28     R = 10
29     e = 2
30     h = 10
31     a = 1
32
33     # load
34     Tmax = 5
35     N = 50
36     dt = Tmax / N
37
38     # ----------------------------------------------
39     # Mesh
40     # ----------------------------------------------
41     domain = Domain(Point(R), Point(R + e, h), e / 2)
42     axis = Line(Point(), Point(0, 1, 0))
43
44     # Generate the mesh based on the specified dimension
45     angle = 360 * 3 / 4
46     mesh = Mesher().Mesh_Revolve(
47         domain,
48         [],
49         axis,
50         angle,
51         [angle * np.pi / 180 * R / domain.meshSize],
52         elemType=ElemType.HEXA8,
53         isOrganised=True,
54     )
55
56     nodesY0 = mesh.Nodes_Conditions(lambda x, y, z: y == 0)
57     nodesYH = mesh.Nodes_Conditions(lambda x, y, z: y == h)
58
59     # ----------------------------------------------
60     # Simulation
61     # ----------------------------------------------
62     thermalModel = Models.Thermal(k=1, c=1)
63     simu = Simulations.ThermalSimu(mesh, thermalModel, False)
64     simu.rho = 1
65
66     simu.add_surfLoad(nodesY0, [5], ["t"])
67     simu.add_surfLoad(nodesYH, [5], ["t"])
68
69     # Set the parabolic algorithm for the solver
70     simu.Solver_Set_Parabolic_Algorithm(alpha=0.5, dt=dt)
71
72     simu._Set_solutions(simu.problemType, np.ones(mesh.Nn) * -10)
73
74     print()
75     t = -dt  # init time
76     while t < Tmax:
77         t += dt
78
79         simu.Solve()
80         simu.Save_Iter()
81
82         print(f"{t:.3f} s", end="\r")
83
84     # ----------------------------------------------
85     # Results
86     # ----------------------------------------------
87     print(simu)
88
89     PyVista.Plot(simu, result, plotMesh=True, nodeValues=True)
90
91     if makeMovie:
92         PyVista.Movie_simu(simu, result, folder, f"{result}.gif", plotMesh=True)

Total running time of the script: (0 minutes 8.285 seconds)

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