Thermal3

Transient thermal simulation.

0.000 s
0.100 s
0.200 s
0.300 s
0.400 s
0.500 s
0.600 s
0.700 s
0.800 s
0.900 s
1.000 s
1.100 s
1.200 s
1.300 s
1.400 s
1.500 s
1.600 s
1.700 s
1.800 s
1.900 s
2.000 s
2.100 s
2.200 s
2.300 s
2.400 s
2.500 s
2.600 s
2.700 s
2.800 s
2.900 s
3.000 s
3.100 s
3.200 s
3.300 s
3.400 s
3.500 s
3.600 s
3.700 s
3.800 s
3.900 s
4.000 s
4.100 s
4.200 s
4.300 s
4.400 s
4.500 s
4.600 s
4.700 s
4.800 s
4.900 s
5.000 s
5.100 s

==================== 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 : 73.726 ms
Boundary Conditions : 29.564 µs
Matrix : 24.684 ms
Solver : 2.137 s
PyVista_Interface : 13.156 s

Generate movie 01/52 (1.92 %) 8.01 s
Generate movie 02/52 (3.85 %) 7.41 s
Generate movie 03/52 (5.77 %) 7.29 s
Generate movie 04/52 (7.69 %) 7.07 s
Generate movie 05/52 (9.62 %) 6.97 s
Generate movie 06/52 (11.54 %) 6.76 s
Generate movie 07/52 (13.46 %) 6.63 s
Generate movie 08/52 (15.38 %) 6.45 s
Generate movie 09/52 (17.31 %) 6.37 s
Generate movie 10/52 (19.23 %) 6.18 s
Generate movie 11/52 (21.15 %) 5.98 s
Generate movie 12/52 (23.08 %) 5.93 s
Generate movie 13/52 (25.00 %) 5.70 s
Generate movie 14/52 (26.92 %) 5.66 s
Generate movie 15/52 (28.85 %) 5.45 s
Generate movie 16/52 (30.77 %) 5.41 s
Generate movie 17/52 (32.69 %) 5.15 s
Generate movie 18/52 (34.62 %) 5.06 s
Generate movie 19/52 (36.54 %) 4.90 s
Generate movie 20/52 (38.46 %) 4.73 s
Generate movie 21/52 (40.38 %) 4.57 s
Generate movie 22/52 (42.31 %) 4.49 s
Generate movie 23/52 (44.23 %) 4.25 s
Generate movie 24/52 (46.15 %) 4.16 s
Generate movie 25/52 (48.08 %) 3.97 s
Generate movie 26/52 (50.00 %) 3.85 s
Generate movie 27/52 (51.92 %) 3.65 s
Generate movie 28/52 (53.85 %) 3.52 s
Generate movie 29/52 (55.77 %) 3.37 s
Generate movie 30/52 (57.69 %) 3.25 s
Generate movie 31/52 (59.62 %) 3.09 s
Generate movie 32/52 (61.54 %) 2.95 s
Generate movie 33/52 (63.46 %) 2.80 s
Generate movie 34/52 (65.38 %) 2.63 s
Generate movie 35/52 (67.31 %) 2.51 s
Generate movie 36/52 (69.23 %) 2.37 s
Generate movie 37/52 (71.15 %) 2.24 s
Generate movie 38/52 (73.08 %) 2.11 s
Generate movie 39/52 (75.00 %) 1.96 s
Generate movie 40/52 (76.92 %) 1.80 s
Generate movie 41/52 (78.85 %) 1.64 s
Generate movie 42/52 (80.77 %) 1.48 s
Generate movie 43/52 (82.69 %) 1.36 s
Generate movie 44/52 (84.62 %) 1.18 s
Generate movie 45/52 (86.54 %) 1.04 s
Generate movie 46/52 (88.46 %) 904.46 ms
Generate movie 47/52 (90.38 %) 758.35 ms
Generate movie 48/52 (92.31 %) 596.83 ms
Generate movie 49/52 (94.23 %) 447.72 ms
Generate movie 50/52 (96.15 %) 296.73 ms
Generate movie 51/52 (98.08 %) 147.61 ms
Generate movie 52/52 (100.00 %) 0.00 µs

from EasyFEA import Display, Folder, Models, np, Mesher, ElemType, Simulations, PyVista
from EasyFEA.Geoms import Line, Domain, Point

if __name__ == "__main__":
    Display.Clear()

    # ----------------------------------------------
    # Configuration
    # ----------------------------------------------

    # outputs
    folder = Folder.Join(Folder.RESULTS_DIR, "Thermal", "Thermal3")
    makeMovie = True
    result = "thermal"

    # geom
    R = 10
    e = 2
    h = 10
    a = 1

    # load
    Tmax = 5
    N = 50
    dt = Tmax / N

    # ----------------------------------------------
    # Mesh
    # ----------------------------------------------
    domain = Domain(Point(R), Point(R + e, h), e / 2)
    axis = Line(Point(), Point(0, 1, 0))

    # Generate the mesh based on the specified dimension
    angle = 360 * 3 / 4
    mesh = Mesher().Mesh_Revolve(
        domain,
        [],
        axis,
        angle,
        [angle * np.pi / 180 * R / domain.meshSize],
        elemType=ElemType.HEXA8,
        isOrganised=True,
    )

    nodesY0 = mesh.Nodes_Conditions(lambda x, y, z: y == 0)
    nodesYH = mesh.Nodes_Conditions(lambda x, y, z: y == h)

    # ----------------------------------------------
    # Simulation
    # ----------------------------------------------
    thermalModel = Models.Thermal(k=1, c=1)
    simu = Simulations.ThermalSimu(mesh, thermalModel, False)
    simu.rho = 1

    simu.add_surfLoad(nodesY0, [5], ["t"])
    simu.add_surfLoad(nodesYH, [5], ["t"])

    # Set the parabolic algorithm for the solver
    simu.Solver_Set_Parabolic_Algorithm(alpha=0.5, dt=dt)

    simu._Set_solutions(simu.problemType, np.ones(mesh.Nn) * -10)

    print()
    t = -dt  # init time
    while t < Tmax:
        t += dt

        simu.Solve()
        simu.Save_Iter()

        print(f"{t:.3f} s", end="\r")

    # ----------------------------------------------
    # Results
    # ----------------------------------------------
    print(simu)

    PyVista.Plot(simu, result, plotMesh=True, nodeValues=True)

    if makeMovie:
        PyVista.Movie_simu(simu, result, folder, f"{result}.gif", plotMesh=True)