This tutorial is part of FEMlium.

import os
import urllib

import folium
import gmsh
import matplotlib.pyplot as plt
import numpy as np
import numpy.typing
import pyproj

import femlium

Auxiliary function to get a folium Map close to Lake Garda.

def get_garda_geo_map(boundary_icons: bool = False) -> folium.Map:
    """Get a map close to Lake Garda, and possibly add some boundary markers."""
    # Add map close to Lake Garda
    geo_map = folium.Map(location=[45.6389113, 10.7521368], zoom_start=10.3)

    # Add markers
    if boundary_icons:
        location_markers = {
            "Sarca": [45.87395405, 10.87087005],
            "Mincio": [45.43259035, 10.7007715]
        }
        location_colors = {
            "Sarca": "red",
            "Mincio": "green"
        }

        for key in location_markers.keys():
            folium.Marker(
                location=location_markers[key],
                tooltip=key,
                icon=folium.Icon(color=location_colors[key])
            ).add_to(geo_map)

    # Return folium map
    return geo_map

get_garda_geo_map()

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Read the file containing an approximation of the boundary of the lake from csv.

boundary_csv_filename = "garda.csv"
if not os.path.isfile(boundary_csv_filename):
    os.makedirs("data", exist_ok=True)
    boundary_csv_url = (
        "https://raw.githubusercontent.com/FEMlium/FEMlium/main/"
        "tutorials/01_introduction/data/garda.csv")
    with urllib.request.urlopen(boundary_csv_url) as response, \
            open(boundary_csv_filename, "wb") as boundary_csv_file:
        boundary_csv_file.write(response.read())

points_and_markers = np.loadtxt("garda.csv", delimiter=",", skiprows=1)
points = points_and_markers[:, 0:2]
vertex_markers = points_and_markers[:, 2].astype(np.int64)
segment_markers = np.array(
    [min(vertex_markers[v], vertex_markers[v + 1]) for v in range(points.shape[0] - 1)], dtype=np.int64)

Plot the domain boundary using matplotlib.

fig = plt.figure(figsize=(12, 12))
fig.gca().plot(points[:, 0], points[:, 1])
fig.gca().axis("equal")

(616658.039149, 647061.960851, 5029877.225841, 5085382.774159)

Read a further file containing a curve that corresponds to approximately 1000 m from the shoreline.

interface_csv_filename = "garda_interface.csv"
if not os.path.isfile(interface_csv_filename):
    os.makedirs("data", exist_ok=True)
    interface_csv_url = (
        "https://raw.githubusercontent.com/FEMlium/FEMlium/main/"
        "tutorials/01_introduction/data/garda_interface.csv")
    with urllib.request.urlopen(interface_csv_url) as response, \
            open(interface_csv_filename, "wb") as interface_csv_file:
        interface_csv_file.write(response.read())

points_inner = np.loadtxt("garda_interface.csv", delimiter=",", skiprows=1)

Plot the two curves with matplotlib.

fig = plt.figure(figsize=(12, 12))
fig.gca().plot(points[:, 0], points[:, 1], "blue")
fig.gca().plot(points_inner[:, 0], points_inner[:, 1], "orange")
fig.gca().axis("equal")

(616658.039149, 647061.960851, 5029877.225841, 5085382.774159)

Define a pyproj Transformer to map between different reference systems, because the points read from file are stored a $(x, y)$ pairs in the EPSG32632 reference system, while the map produced by folium is based on (latitude, longitude) pairs in the EPSG4326 reference system.

transformer = pyproj.Transformer.from_crs("epsg:32632", "epsg:4326", always_xy=True)

We define a domain plotter femlium.DomainPlotter.

domain_plotter = femlium.DomainPlotter(transformer)

We use the domain_plotter to draw the boundary of what will be the computational domain on top of the geographic map.

geo_map = get_garda_geo_map()
domain_plotter.add_domain_to(geo_map, points)
geo_map

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We may change the color and the weight of the line.

geo_map = get_garda_geo_map()
domain_plotter.add_domain_to(geo_map, points, colors="blue", weights=3)
geo_map

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Furthermore, we may set the colors and the weights of the boundary representation to depend on the markers associated to each segment. Such markers are typically used to set boundary labels for boundary conditions.

geo_map = get_garda_geo_map(boundary_icons=True)
colors = {
    0: "blue",
    1: "red",
    2: "green"
}
weights = {
    0: 2,
    1: 5,
    2: 5
}
domain_plotter.add_domain_to(geo_map, points, segment_markers, colors=colors, weights=weights)
geo_map

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We may also plot two curves on the same map.

geo_map = get_garda_geo_map()
domain_plotter.add_domain_to(geo_map, points, colors="blue", weights=3)
domain_plotter.add_domain_to(geo_map, points_inner, colors="orange", weights=2)
geo_map

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We then use gmsh to generate a triangular mesh, and save it to file.

def generate_garda_mesh(
    points: np.typing.NDArray[np.float64], segment_markers: np.typing.NDArray[np.int64],
    points_inner: np.typing.NDArray[np.float64], h: float
) -> None:
    """Generate an unstructured mesh of the Lake."""
    # Initialize gmsh
    gmsh.initialize()
    # Add model
    gmsh.model.add("garda")
    # Add points associated to outer boundary
    num_points = points.shape[0] - 1  # exclude the last point, because it is a copy of the first one
    for p in range(num_points):
        gmsh.model.geo.addPoint(points[p, 0], points[p, 1], 0.0)
    # Add points associted to inner interface
    num_points_inner = points_inner.shape[0] - 1  # exclude the last point, because it is a copy of the first one
    for p in range(num_points_inner):
        gmsh.model.geo.addPoint(points_inner[p, 0], points_inner[p, 1], 0.0)
    # Add segments associated to outer boundary
    lines = list()
    boundary_labels = {
        1: list(),  # shore
        2: list(),  # inflow
        3: list()   # outflow
    }
    for p in range(num_points):
        point_p = p + 1
        if point_p < num_points:
            point_p_next = point_p + 1
        else:
            point_p_next = 1
        segment = gmsh.model.geo.addLine(point_p, point_p_next)
        lines.append(segment)
        label = 1 + segment_markers[p]
        label = int(round(label))
        boundary_labels[label].append(segment)
    # Add segments associated to inner interface
    lines_inner = list()
    for p in range(num_points_inner):
        point_p = num_points + p + 1
        if point_p < num_points + num_points_inner:
            point_p_next = point_p + 1
        else:
            point_p_next = num_points + 1
        segment = gmsh.model.geo.addLine(point_p, point_p_next)
        lines_inner.append(segment)
    # Add curve loops
    boundary = gmsh.model.geo.addCurveLoop(lines)
    interface = gmsh.model.geo.addCurveLoop(lines_inner)
    # Add surfaces
    near_shore = gmsh.model.geo.addPlaneSurface([boundary, interface])
    far_from_shore = gmsh.model.geo.addPlaneSurface([interface])
    # Synchronize
    gmsh.model.geo.synchronize()
    # Assign boundary labels
    for (label, lines) in boundary_labels.items():
        gmsh.model.addPhysicalGroup(1, lines, label)
    # Assign subdomain labels
    gmsh.model.addPhysicalGroup(2, [near_shore], 1)
    gmsh.model.addPhysicalGroup(2, [far_from_shore], 2)
    # We now define a Distance field, to measure the distance from the boundary
    gmsh.model.mesh.field.add("Distance", 1)
    gmsh.model.mesh.field.setNumbers(1, "PointsList", np.arange(1, num_points + 1))
    gmsh.model.mesh.field.setNumbers(1, "CurvesList", lines)
    gmsh.model.mesh.field.setNumber(1, "NumPointsPerCurve", 1)
    # We then define a Threshold field, which uses the return value of the
    # Distance field 1 in order to define a simple change in element size
    # depending on the computed distances
    #
    # SizeMax -                     /------------------
    #                              /
    #                             /
    #                            /
    # SizeMin -o----------------/
    #          |                |    |
    #        Point         DistMin  DistMax
    gmsh.model.mesh.field.add("Threshold", 2)
    gmsh.model.mesh.field.setNumber(2, "InField", 1)
    gmsh.model.mesh.field.setNumber(2, "SizeMin", h)
    gmsh.model.mesh.field.setNumber(2, "SizeMax", 10 * h)
    gmsh.model.mesh.field.setNumber(2, "DistMin", 600)
    gmsh.model.mesh.field.setNumber(2, "DistMax", 6000)
    # The mesh size should be derived from the second field, i.e. the Distance field
    gmsh.model.mesh.field.setAsBackgroundMesh(2)
    gmsh.option.setNumber("Mesh.MeshSizeExtendFromBoundary", 0)
    gmsh.option.setNumber("Mesh.MeshSizeFromPoints", 0)
    gmsh.option.setNumber("Mesh.MeshSizeFromCurvature", 0)
    # Generate mesh
    gmsh.model.mesh.generate(2)
    # Write out the mesh in gmsh format
    msh_path = "garda.msh"
    if os.path.exists(msh_path):
        os.remove(msh_path)
    gmsh.write(msh_path)
    # Finalize
    gmsh.finalize()

generate_garda_mesh(points, segment_markers, points_inner, 300)

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Info    : [ 70%] Meshing curve 811 (Line)
Info    : [ 70%] Meshing curve 812 (Line)
Info    : [ 70%] Meshing curve 813 (Line)
Info    : [ 70%] Meshing curve 814 (Line)
Info    : [ 70%] Meshing curve 815 (Line)
Info    : [ 70%] Meshing curve 816 (Line)
Info    : [ 70%] Meshing curve 817 (Line)
Info    : [ 70%] Meshing curve 818 (Line)
Info    : [ 70%] Meshing curve 819 (Line)
Info    : [ 70%] Meshing curve 820 (Line)
Info    : [ 70%] Meshing curve 821 (Line)
Info    : [ 70%] Meshing curve 822 (Line)
Info    : [ 70%] Meshing curve 823 (Line)
Info    : [ 70%] Meshing curve 824 (Line)
Info    : [ 70%] Meshing curve 825 (Line)
Info    : [ 70%] Meshing curve 826 (Line)
Info    : [ 70%] Meshing curve 827 (Line)
Info    : [ 70%] Meshing curve 828 (Line)
Info    : [ 70%] Meshing curve 829 (Line)
Info    : [ 70%] Meshing curve 830 (Line)
Info    : [ 70%] Meshing curve 831 (Line)
Info    : [ 70%] Meshing curve 832 (Line)
Info    : [ 70%] Meshing curve 833 (Line)
Info    : [ 70%] Meshing curve 834 (Line)
Info    : [ 70%] Meshing curve 835 (Line)
Info    : [ 70%] Meshing curve 836 (Line)
Info    : [ 80%] Meshing curve 837 (Line)
Info    : [ 80%] Meshing curve 838 (Line)
Info    : [ 80%] Meshing curve 839 (Line)
Info    : [ 80%] Meshing curve 840 (Line)
Info    : [ 80%] Meshing curve 841 (Line)
Info    : [ 80%] Meshing curve 842 (Line)
Info    : [ 80%] Meshing curve 843 (Line)
Info    : [ 80%] Meshing curve 844 (Line)
Info    : [ 80%] Meshing curve 845 (Line)
Info    : [ 80%] Meshing curve 846 (Line)
Info    : [ 80%] Meshing curve 847 (Line)
Info    : [ 80%] Meshing curve 848 (Line)
Info    : [ 80%] Meshing curve 849 (Line)
Info    : [ 80%] Meshing curve 850 (Line)
Info    : [ 80%] Meshing curve 851 (Line)
Info    : [ 80%] Meshing curve 852 (Line)
Info    : [ 80%] Meshing curve 853 (Line)
Info    : [ 80%] Meshing curve 854 (Line)
Info    : [ 80%] Meshing curve 855 (Line)
Info    : [ 80%] Meshing curve 856 (Line)
Info    : [ 80%] Meshing curve 857 (Line)
Info    : [ 80%] Meshing curve 858 (Line)
Info    : [ 80%] Meshing curve 859 (Line)
Info    : [ 80%] Meshing curve 860 (Line)
Info    : [ 80%] Meshing curve 861 (Line)
Info    : [ 80%] Meshing curve 862 (Line)
Info    : [ 80%] Meshing curve 863 (Line)
Info    : [ 80%] Meshing curve 864 (Line)
Info    : [ 80%] Meshing curve 865 (Line)
Info    : [ 80%] Meshing curve 866 (Line)
Info    : [ 80%] Meshing curve 867 (Line)
Info    : [ 80%] Meshing curve 868 (Line)
Info    : [ 80%] Meshing curve 869 (Line)
Info    : [ 80%] Meshing curve 870 (Line)
Info    : [ 80%] Meshing curve 871 (Line)
Info    : [ 80%] Meshing curve 872 (Line)
Info    : [ 80%] Meshing curve 873 (Line)
Info    : [ 80%] Meshing curve 874 (Line)
Info    : [ 80%] Meshing curve 875 (Line)
Info    : [ 80%] Meshing curve 876 (Line)
Info    : [ 80%] Meshing curve 877 (Line)
Info    : [ 80%] Meshing curve 878 (Line)
Info    : [ 80%] Meshing curve 879 (Line)
Info    : [ 80%] Meshing curve 880 (Line)
Info    : [ 80%] Meshing curve 881 (Line)
Info    : [ 80%] Meshing curve 882 (Line)
Info    : [ 80%] Meshing curve 883 (Line)
Info    : [ 80%] Meshing curve 884 (Line)
Info    : [ 80%] Meshing curve 885 (Line)
Info    : [ 80%] Meshing curve 886 (Line)
Info    : [ 80%] Meshing curve 887 (Line)
Info    : [ 80%] Meshing curve 888 (Line)
Info    : [ 80%] Meshing curve 889 (Line)
Info    : [ 80%] Meshing curve 890 (Line)
Info    : [ 80%] Meshing curve 891 (Line)
Info    : [ 80%] Meshing curve 892 (Line)
Info    : [ 80%] Meshing curve 893 (Line)
Info    : [ 80%] Meshing curve 894 (Line)
Info    : [ 80%] Meshing curve 895 (Line)
Info    : [ 80%] Meshing curve 896 (Line)
Info    : [ 80%] Meshing curve 897 (Line)
Info    : [ 80%] Meshing curve 898 (Line)
Info    : [ 80%] Meshing curve 899 (Line)
Info    : [ 80%] Meshing curve 900 (Line)
Info    : [ 80%] Meshing curve 901 (Line)
Info    : [ 80%] Meshing curve 902 (Line)
Info    : [ 80%] Meshing curve 903 (Line)
Info    : [ 80%] Meshing curve 904 (Line)
Info    : [ 80%] Meshing curve 905 (Line)
Info    : [ 80%] Meshing curve 906 (Line)
Info    : [ 80%] Meshing curve 907 (Line)
Info    : [ 80%] Meshing curve 908 (Line)
Info    : [ 80%] Meshing curve 909 (Line)
Info    : [ 80%] Meshing curve 910 (Line)
Info    : [ 80%] Meshing curve 911 (Line)
Info    : [ 80%] Meshing curve 912 (Line)
Info    : [ 80%] Meshing curve 913 (Line)
Info    : [ 80%] Meshing curve 914 (Line)
Info    : [ 80%] Meshing curve 915 (Line)
Info    : [ 80%] Meshing curve 916 (Line)
Info    : [ 80%] Meshing curve 917 (Line)
Info    : [ 80%] Meshing curve 918 (Line)
Info    : [ 80%] Meshing curve 919 (Line)
Info    : [ 80%] Meshing curve 920 (Line)
Info    : [ 80%] Meshing curve 921 (Line)
Info    : [ 80%] Meshing curve 922 (Line)
Info    : [ 80%] Meshing curve 923 (Line)
Info    : [ 80%] Meshing curve 924 (Line)
Info    : [ 80%] Meshing curve 925 (Line)
Info    : [ 80%] Meshing curve 926 (Line)
Info    : [ 80%] Meshing curve 927 (Line)
Info    : [ 80%] Meshing curve 928 (Line)
Info    : [ 80%] Meshing curve 929 (Line)
Info    : [ 80%] Meshing curve 930 (Line)
Info    : [ 80%] Meshing curve 931 (Line)
Info    : [ 80%] Meshing curve 932 (Line)
Info    : [ 80%] Meshing curve 933 (Line)
Info    : [ 80%] Meshing curve 934 (Line)
Info    : [ 80%] Meshing curve 935 (Line)
Info    : [ 80%] Meshing curve 936 (Line)
Info    : [ 80%] Meshing curve 937 (Line)
Info    : [ 80%] Meshing curve 938 (Line)
Info    : [ 80%] Meshing curve 939 (Line)
Info    : [ 80%] Meshing curve 940 (Line)
Info    : [ 80%] Meshing curve 941 (Line)
Info    : [ 80%] Meshing curve 942 (Line)
Info    : [ 80%] Meshing curve 943 (Line)
Info    : [ 80%] Meshing curve 944 (Line)
Info    : [ 80%] Meshing curve 945 (Line)
Info    : [ 80%] Meshing curve 946 (Line)
Info    : [ 80%] Meshing curve 947 (Line)
Info    : [ 80%] Meshing curve 948 (Line)
Info    : [ 80%] Meshing curve 949 (Line)
Info    : [ 80%] Meshing curve 950 (Line)
Info    : [ 80%] Meshing curve 951 (Line)
Info    : [ 80%] Meshing curve 952 (Line)
Info    : [ 80%] Meshing curve 953 (Line)
Info    : [ 80%] Meshing curve 954 (Line)
Info    : [ 80%] Meshing curve 955 (Line)
Info    : [ 80%] Meshing curve 956 (Line)
Info    : [ 90%] Meshing curve 957 (Line)
Info    : [ 90%] Meshing curve 958 (Line)
Info    : [ 90%] Meshing curve 959 (Line)
Info    : [ 90%] Meshing curve 960 (Line)
Info    : [ 90%] Meshing curve 961 (Line)
Info    : [ 90%] Meshing curve 962 (Line)
Info    : [ 90%] Meshing curve 963 (Line)
Info    : [ 90%] Meshing curve 964 (Line)
Info    : [ 90%] Meshing curve 965 (Line)
Info    : [ 90%] Meshing curve 966 (Line)
Info    : [ 90%] Meshing curve 967 (Line)
Info    : [ 90%] Meshing curve 968 (Line)
Info    : [ 90%] Meshing curve 969 (Line)
Info    : [ 90%] Meshing curve 970 (Line)
Info    : [ 90%] Meshing curve 971 (Line)
Info    : [ 90%] Meshing curve 972 (Line)
Info    : [ 90%] Meshing curve 973 (Line)
Info    : [ 90%] Meshing curve 974 (Line)
Info    : [ 90%] Meshing curve 975 (Line)
Info    : [ 90%] Meshing curve 976 (Line)
Info    : [ 90%] Meshing curve 977 (Line)
Info    : [ 90%] Meshing curve 978 (Line)
Info    : [ 90%] Meshing curve 979 (Line)
Info    : [ 90%] Meshing curve 980 (Line)
Info    : [ 90%] Meshing curve 981 (Line)
Info    : [ 90%] Meshing curve 982 (Line)
Info    : [ 90%] Meshing curve 983 (Line)
Info    : [ 90%] Meshing curve 984 (Line)
Info    : [ 90%] Meshing curve 985 (Line)
Info    : [ 90%] Meshing curve 986 (Line)
Info    : [ 90%] Meshing curve 987 (Line)
Info    : [ 90%] Meshing curve 988 (Line)
Info    : [ 90%] Meshing curve 989 (Line)
Info    : [ 90%] Meshing curve 990 (Line)
Info    : [ 90%] Meshing curve 991 (Line)
Info    : [ 90%] Meshing curve 992 (Line)
Info    : [ 90%] Meshing curve 993 (Line)
Info    : [ 90%] Meshing curve 994 (Line)
Info    : [ 90%] Meshing curve 995 (Line)
Info    : [ 90%] Meshing curve 996 (Line)
Info    : [ 90%] Meshing curve 997 (Line)
Info    : [ 90%] Meshing curve 998 (Line)
Info    : [ 90%] Meshing curve 999 (Line)
Info    : [ 90%] Meshing curve 1000 (Line)
Info    : [ 90%] Meshing curve 1001 (Line)
Info    : [ 90%] Meshing curve 1002 (Line)
Info    : [ 90%] Meshing curve 1003 (Line)
Info    : [ 90%] Meshing curve 1004 (Line)
Info    : [ 90%] Meshing curve 1005 (Line)
Info    : [ 90%] Meshing curve 1006 (Line)
Info    : [ 90%] Meshing curve 1007 (Line)
Info    : [ 90%] Meshing curve 1008 (Line)
Info    : [ 90%] Meshing curve 1009 (Line)
Info    : [ 90%] Meshing curve 1010 (Line)
Info    : [ 90%] Meshing curve 1011 (Line)
Info    : [ 90%] Meshing curve 1012 (Line)
Info    : [ 90%] Meshing curve 1013 (Line)
Info    : [ 90%] Meshing curve 1014 (Line)
Info    : [ 90%] Meshing curve 1015 (Line)
Info    : [ 90%] Meshing curve 1016 (Line)
Info    : [ 90%] Meshing curve 1017 (Line)
Info    : [ 90%] Meshing curve 1018 (Line)
Info    : [ 90%] Meshing curve 1019 (Line)
Info    : [ 90%] Meshing curve 1020 (Line)
Info    : [ 90%] Meshing curve 1021 (Line)
Info    : [ 90%] Meshing curve 1022 (Line)
Info    : [ 90%] Meshing curve 1023 (Line)
Info    : [ 90%] Meshing curve 1024 (Line)
Info    : [ 90%] Meshing curve 1025 (Line)
Info    : [ 90%] Meshing curve 1026 (Line)
Info    : [ 90%] Meshing curve 1027 (Line)
Info    : [ 90%] Meshing curve 1028 (Line)
Info    : [ 90%] Meshing curve 1029 (Line)
Info    : [ 90%] Meshing curve 1030 (Line)
Info    : [ 90%] Meshing curve 1031 (Line)
Info    : [ 90%] Meshing curve 1032 (Line)
Info    : [ 90%] Meshing curve 1033 (Line)
Info    : [ 90%] Meshing curve 1034 (Line)
Info    : [ 90%] Meshing curve 1035 (Line)
Info    : [ 90%] Meshing curve 1036 (Line)
Info    : [ 90%] Meshing curve 1037 (Line)
Info    : [ 90%] Meshing curve 1038 (Line)
Info    : [ 90%] Meshing curve 1039 (Line)
Info    : [ 90%] Meshing curve 1040 (Line)
Info    : [ 90%] Meshing curve 1041 (Line)
Info    : [ 90%] Meshing curve 1042 (Line)
Info    : [ 90%] Meshing curve 1043 (Line)
Info    : [ 90%] Meshing curve 1044 (Line)
Info    : [ 90%] Meshing curve 1045 (Line)
Info    : [ 90%] Meshing curve 1046 (Line)
Info    : [ 90%] Meshing curve 1047 (Line)
Info    : [ 90%] Meshing curve 1048 (Line)
Info    : [ 90%] Meshing curve 1049 (Line)
Info    : [ 90%] Meshing curve 1050 (Line)
Info    : [ 90%] Meshing curve 1051 (Line)
Info    : [ 90%] Meshing curve 1052 (Line)
Info    : [ 90%] Meshing curve 1053 (Line)
Info    : [ 90%] Meshing curve 1054 (Line)
Info    : [ 90%] Meshing curve 1055 (Line)
Info    : [ 90%] Meshing curve 1056 (Line)
Info    : [ 90%] Meshing curve 1057 (Line)
Info    : [ 90%] Meshing curve 1058 (Line)
Info    : [ 90%] Meshing curve 1059 (Line)
Info    : [ 90%] Meshing curve 1060 (Line)
Info    : [ 90%] Meshing curve 1061 (Line)
Info    : [ 90%] Meshing curve 1062 (Line)
Info    : [ 90%] Meshing curve 1063 (Line)
Info    : [ 90%] Meshing curve 1064 (Line)
Info    : [ 90%] Meshing curve 1065 (Line)
Info    : [ 90%] Meshing curve 1066 (Line)
Info    : [ 90%] Meshing curve 1067 (Line)
Info    : [ 90%] Meshing curve 1068 (Line)
Info    : [ 90%] Meshing curve 1069 (Line)
Info    : [ 90%] Meshing curve 1070 (Line)
Info    : [ 90%] Meshing curve 1071 (Line)
Info    : [ 90%] Meshing curve 1072 (Line)
Info    : [ 90%] Meshing curve 1073 (Line)
Info    : [ 90%] Meshing curve 1074 (Line)
Info    : [ 90%] Meshing curve 1075 (Line)
Info    : [100%] Meshing curve 1076 (Line)
Info    : [100%] Meshing curve 1077 (Line)
Info    : [100%] Meshing curve 1078 (Line)
Info    : [100%] Meshing curve 1079 (Line)
Info    : [100%] Meshing curve 1080 (Line)
Info    : [100%] Meshing curve 1081 (Line)
Info    : [100%] Meshing curve 1082 (Line)
Info    : [100%] Meshing curve 1083 (Line)
Info    : [100%] Meshing curve 1084 (Line)
Info    : [100%] Meshing curve 1085 (Line)
Info    : [100%] Meshing curve 1086 (Line)
Info    : [100%] Meshing curve 1087 (Line)
Info    : [100%] Meshing curve 1088 (Line)
Info    : [100%] Meshing curve 1089 (Line)
Info    : [100%] Meshing curve 1090 (Line)
Info    : [100%] Meshing curve 1091 (Line)
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Info    : [100%] Meshing curve 1093 (Line)
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Info    : [100%] Meshing curve 1100 (Line)
Info    : [100%] Meshing curve 1101 (Line)
Info    : [100%] Meshing curve 1102 (Line)
Info    : [100%] Meshing curve 1103 (Line)
Info    : [100%] Meshing curve 1104 (Line)
Info    : [100%] Meshing curve 1105 (Line)
Info    : [100%] Meshing curve 1106 (Line)
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Info    : [100%] Meshing curve 1110 (Line)
Info    : [100%] Meshing curve 1111 (Line)
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Info    : [100%] Meshing curve 1113 (Line)
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Info    : [100%] Meshing curve 1115 (Line)
Info    : [100%] Meshing curve 1116 (Line)
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Info    : [100%] Meshing curve 1118 (Line)
Info    : [100%] Meshing curve 1119 (Line)
Info    : [100%] Meshing curve 1120 (Line)
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Info    : [100%] Meshing curve 1122 (Line)
Info    : [100%] Meshing curve 1123 (Line)
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Info    : [100%] Meshing curve 1125 (Line)
Info    : [100%] Meshing curve 1126 (Line)
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Info    : [100%] Meshing curve 1128 (Line)
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Info    : [100%] Meshing curve 1131 (Line)
Info    : [100%] Meshing curve 1132 (Line)
Info    : [100%] Meshing curve 1133 (Line)
Info    : [100%] Meshing curve 1134 (Line)
Info    : [100%] Meshing curve 1135 (Line)
Info    : [100%] Meshing curve 1136 (Line)
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Info    : [100%] Meshing curve 1138 (Line)
Info    : [100%] Meshing curve 1139 (Line)
Info    : [100%] Meshing curve 1140 (Line)
Info    : [100%] Meshing curve 1141 (Line)
Info    : [100%] Meshing curve 1142 (Line)
Info    : [100%] Meshing curve 1143 (Line)
Info    : [100%] Meshing curve 1144 (Line)
Info    : [100%] Meshing curve 1145 (Line)
Info    : [100%] Meshing curve 1146 (Line)
Info    : [100%] Meshing curve 1147 (Line)
Info    : [100%] Meshing curve 1148 (Line)
Info    : [100%] Meshing curve 1149 (Line)
Info    : [100%] Meshing curve 1150 (Line)
Info    : [100%] Meshing curve 1151 (Line)
Info    : [100%] Meshing curve 1152 (Line)
Info    : [100%] Meshing curve 1153 (Line)
Info    : [100%] Meshing curve 1154 (Line)
Info    : [100%] Meshing curve 1155 (Line)
Info    : [100%] Meshing curve 1156 (Line)
Info    : [100%] Meshing curve 1157 (Line)
Info    : [100%] Meshing curve 1158 (Line)
Info    : [100%] Meshing curve 1159 (Line)
Info    : [100%] Meshing curve 1160 (Line)
Info    : [100%] Meshing curve 1161 (Line)
Info    : [100%] Meshing curve 1162 (Line)
Info    : [100%] Meshing curve 1163 (Line)
Info    : [100%] Meshing curve 1164 (Line)
Info    : [100%] Meshing curve 1165 (Line)
Info    : [100%] Meshing curve 1166 (Line)
Info    : [100%] Meshing curve 1167 (Line)
Info    : [100%] Meshing curve 1168 (Line)
Info    : [100%] Meshing curve 1169 (Line)
Info    : [100%] Meshing curve 1170 (Line)
Info    : [100%] Meshing curve 1171 (Line)
Info    : [100%] Meshing curve 1172 (Line)
Info    : [100%] Meshing curve 1173 (Line)
Info    : [100%] Meshing curve 1174 (Line)
Info    : [100%] Meshing curve 1175 (Line)
Info    : [100%] Meshing curve 1176 (Line)
Info    : [100%] Meshing curve 1177 (Line)
Info    : [100%] Meshing curve 1178 (Line)
Info    : [100%] Meshing curve 1179 (Line)
Info    : [100%] Meshing curve 1180 (Line)
Info    : [100%] Meshing curve 1181 (Line)
Info    : [100%] Meshing curve 1182 (Line)
Info    : [100%] Meshing curve 1183 (Line)
Info    : [100%] Meshing curve 1184 (Line)
Info    : [100%] Meshing curve 1185 (Line)
Info    : [100%] Meshing curve 1186 (Line)
Info    : [100%] Meshing curve 1187 (Line)
Info    : [100%] Meshing curve 1188 (Line)
Info    : [100%] Meshing curve 1189 (Line)
Info    : [100%] Meshing curve 1190 (Line)
Info    : [100%] Meshing curve 1191 (Line)
Info    : [100%] Meshing curve 1192 (Line)
Info    : [100%] Meshing curve 1193 (Line)
Info    : [100%] Meshing curve 1194 (Line)
Info    : Done meshing 1D (Wall 0.197426s, CPU 0.186987s)
Info    : Meshing 2D...
Info    : [  0%] Meshing surface 1 (Plane, Frontal-Delaunay)

Info    : [ 60%] Meshing surface 2 (Plane, Frontal-Delaunay)
Info    : Done meshing 2D (Wall 0.0820781s, CPU 0.083453s)
Info    : 3943 nodes 9647 elements
Info    : Writing 'garda.msh'...
Info    : Done writing 'garda.msh'

The mesh will be read in and displayed in one of the FEM backends available in femlium. See the notebooks in the parent folder.