Thermal2#

Transient thermal simulation.

Thermal2
Thermal2
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 : 51.234 ms
Boundary Conditions : 18.597 µs
Matrix : 18.098 ms
Solver : 842.542 ms
PyVista_Interface : 41.356 ms

Generate movie 0/50
Generate movie 1/50 (2.00 %) 7.52 s
Generate movie 2/50 (4.00 %) 7.37 s
Generate movie 3/50 (6.00 %) 7.24 s
Generate movie 4/50 (8.00 %) 7.05 s
Generate movie 5/50 (10.00 %) 6.99 s
Generate movie 6/50 (12.00 %) 6.76 s
Generate movie 7/50 (14.00 %) 6.59 s
Generate movie 8/50 (16.00 %) 6.44 s
Generate movie 9/50 (18.00 %) 6.30 s
Generate movie 10/50 (20.00 %) 6.13 s
Generate movie 11/50 (22.00 %) 6.04 s
Generate movie 12/50 (24.00 %) 5.82 s
Generate movie 13/50 (26.00 %) 5.58 s
Generate movie 14/50 (28.00 %) 5.53 s
Generate movie 15/50 (30.00 %) 5.40 s
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Generate movie 18/50 (36.00 %) 5.02 s
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Generate movie 20/50 (40.00 %) 4.61 s
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Generate movie 22/50 (44.00 %) 4.31 s
Generate movie 23/50 (46.00 %) 4.14 s
Generate movie 24/50 (48.00 %) 3.97 s
Generate movie 25/50 (50.00 %) 3.84 s
Generate movie 26/50 (52.00 %) 3.56 s
Generate movie 27/50 (54.00 %) 3.52 s
Generate movie 28/50 (56.00 %) 3.37 s
Generate movie 29/50 (58.00 %) 3.24 s
Generate movie 30/50 (60.00 %) 3.09 s
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Generate movie 40/50 (80.00 %) 1.55 s
Generate movie 41/50 (82.00 %) 1.40 s
Generate movie 42/50 (84.00 %) 1.25 s
Generate movie 43/50 (86.00 %) 1.09 s
Generate movie 44/50 (88.00 %) 935.49 ms
Generate movie 45/50 (90.00 %) 777.54 ms
Generate movie 46/50 (92.00 %) 622.42 ms
Generate movie 47/50 (94.00 %) 465.47 ms
Generate movie 48/50 (96.00 %) 313.87 ms
Generate movie 49/50 (98.00 %) 155.41 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 13.383 seconds)

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