Gmsh examples

using ExtendableGrids
using Gmsh: gmsh

Example t1 from the GMSH docs

function gmsh_t1()
    gmsh.initialize()
    gmsh.option.setNumber("General.Terminal", 1)
    gmsh.model.add("t1")

    lc = 1e-2
    gmsh.model.geo.addPoint(0, 0, 0, lc, 1)
    gmsh.model.geo.addPoint(0.1, 0, 0, lc, 2)
    gmsh.model.geo.addPoint(0.1, 0.3, 0, lc, 3)

    p4 = gmsh.model.geo.addPoint(0, 0.3, 0, lc)

    gmsh.model.geo.addLine(1, 2, 1)
    gmsh.model.geo.addLine(3, 2, 2)
    gmsh.model.geo.addLine(3, p4, 3)
    gmsh.model.geo.addLine(4, 1, p4)

    gmsh.model.geo.addCurveLoop([4, 1, -2, 3], 1)
    gmsh.model.geo.addPlaneSurface([1], 1)

    gmsh.model.geo.synchronize()

    gmsh.model.addPhysicalGroup(0, [1, 2], 1)
    gmsh.model.addPhysicalGroup(1, [1, 2], 2)
    gmsh.model.addPhysicalGroup(2, [1], 6)

    gmsh.model.setPhysicalName(2, 6, "My surface")

    gmsh.model.mesh.generate(2)
    grid = ExtendableGrids.simplexgrid_from_gmsh(gmsh.model)
    gmsh.finalize()
    grid
end

Example t4 from the GMSH docs

function gmsh_t4()
    gmsh.initialize()

    gmsh.model.add("t4")

    cm = 1e-02
    e1 = 4.5 * cm; e2 = 6 * cm / 2; e3 =  5 * cm / 2
    h1 = 5 * cm; h2 = 10 * cm; h3 = 5 * cm; h4 = 2 * cm; h5 = 4.5 * cm
    R1 = 1 * cm; R2 = 1.5 * cm; r = 1 * cm
    Lc1 = 0.01
    Lc2 = 0.003

    function hypot(a, b)
        return sqrt(a * a + b * b)
    end

    ccos = (-h5*R1 + e2 * hypot(h5, hypot(e2, R1))) / (h5*h5 + e2*e2)
    ssin = sqrt(1 - ccos*ccos)

    factory = gmsh.model.geo
    factory.addPoint(-e1-e2, 0    , 0, Lc1, 1)
    factory.addPoint(-e1-e2, h1   , 0, Lc1, 2)
    factory.addPoint(-e3-r , h1   , 0, Lc2, 3)
    factory.addPoint(-e3-r , h1+r , 0, Lc2, 4)
    factory.addPoint(-e3   , h1+r , 0, Lc2, 5)
    factory.addPoint(-e3   , h1+h2, 0, Lc1, 6)
    factory.addPoint( e3   , h1+h2, 0, Lc1, 7)
    factory.addPoint( e3   , h1+r , 0, Lc2, 8)
    factory.addPoint( e3+r , h1+r , 0, Lc2, 9)
    factory.addPoint( e3+r , h1   , 0, Lc2, 10)
    factory.addPoint( e1+e2, h1   , 0, Lc1, 11)
    factory.addPoint( e1+e2, 0    , 0, Lc1, 12)
    factory.addPoint( e2   , 0    , 0, Lc1, 13)

    factory.addPoint( R1 / ssin, h5+R1*ccos, 0, Lc2, 14)
    factory.addPoint( 0        , h5        , 0, Lc2, 15)
    factory.addPoint(-R1 / ssin, h5+R1*ccos, 0, Lc2, 16)
    factory.addPoint(-e2       , 0.0       , 0, Lc1, 17)

    factory.addPoint(-R2 , h1+h3   , 0, Lc2, 18)
    factory.addPoint(-R2 , h1+h3+h4, 0, Lc2, 19)
    factory.addPoint( 0  , h1+h3+h4, 0, Lc2, 20)
    factory.addPoint( R2 , h1+h3+h4, 0, Lc2, 21)
    factory.addPoint( R2 , h1+h3   , 0, Lc2, 22)
    factory.addPoint( 0  , h1+h3   , 0, Lc2, 23)

    factory.addPoint( 0, h1+h3+h4+R2, 0, Lc2, 24)
    factory.addPoint( 0, h1+h3-R2,    0, Lc2, 25)

    factory.addLine(1 , 17, 1)
    factory.addLine(17, 16, 2)

    factory.addCircleArc(14,15,16, 3)
    factory.addLine(14,13, 4)
    factory.addLine(13,12, 5)
    factory.addLine(12,11, 6)
    factory.addLine(11,10, 7)
    factory.addCircleArc(8,9,10, 8)
    factory.addLine(8,7, 9)
    factory.addLine(7,6, 10)
    factory.addLine(6,5, 11)
    factory.addCircleArc(3,4,5, 12)
    factory.addLine(3,2, 13)
    factory.addLine(2,1, 14)
    factory.addLine(18,19, 15)
    factory.addCircleArc(21,20,24, 16)
    factory.addCircleArc(24,20,19, 17)
    factory.addCircleArc(18,23,25, 18)
    factory.addCircleArc(25,23,22, 19)
    factory.addLine(21,22, 20)

    factory.addCurveLoop([17,-15,18,19,-20,16], 21)
    factory.addPlaneSurface([21], 22)
    factory.addCurveLoop([11,-12,13,14,1,2,-3,4,5,6,7,-8,9,10], 23)

    factory.addPlaneSurface([23,21], 24)

    factory.synchronize()

    v = gmsh.view.add("comments")

    gmsh.view.addListDataString(v, [10, -10], ["Created with Gmsh"])

    gmsh.view.addListDataString(v, [0, 0.11, 0], ["Hole"],
                                ["Align", "Center", "Font", "Helvetica"])

    gmsh.view.addListDataString(v, [0, 0.09, 0], ["file://../t4_image.png@0.01x0"],
                                ["Align", "Center"])

    gmsh.view.addListDataString(v, [-0.01, 0.09, 0],
                                ["file://../t4_image.png@0.01x0,0,0,1,0,1,0"])

    gmsh.view.addListDataString(v, [0, 0.12, 0],
                                ["file://../t4_image.png@0.01x0#"],
                                ["Align", "Center"])

    gmsh.view.addListDataString(v, [150, -7], ["file://../t4_image.png@20x0"])

    gmsh.view.option.setString(v, "DoubleClickedCommand",
                               "Printf('View[0] has been double-clicked!');")
    gmsh.option.setString(
        "Geometry.DoubleClickedLineCommand",
        "Printf('Curve %g has been double-clicked!', Geometry.DoubleClickedEntityTag);")

    gmsh.model.setColor([(2, 22)], 127, 127, 127)
    gmsh.model.setColor([(2, 24)], 160, 32, 240)
    gmsh.model.setColor([(1, i) for i in 1:14], 255, 0, 0)
    gmsh.model.setColor([(1, i) for i in 15:20], 255, 255, 0)

    gmsh.model.mesh.generate(2)
    grid = ExtendableGrids.simplexgrid_from_gmsh(gmsh.model)
    gmsh.finalize()
    grid
end

Example t5 from the GMSH docs

function gmsh_t5()

    gmsh.initialize()

    gmsh.model.add("t5")

    lcar1 = .1
    lcar2 = .0005
    lcar3 = .055

    gmsh.model.geo.addPoint(0.5,0.5,0.5, lcar2, 1)
    gmsh.model.geo.addPoint(0.5,0.5,0, lcar1, 2)
    gmsh.model.geo.addPoint(0,0.5,0.5, lcar1, 3)
    gmsh.model.geo.addPoint(0,0,0.5, lcar1, 4)
    gmsh.model.geo.addPoint(0.5,0,0.5, lcar1, 5)
    gmsh.model.geo.addPoint(0.5,0,0, lcar1, 6)
    gmsh.model.geo.addPoint(0,0.5,0, lcar1, 7)
    gmsh.model.geo.addPoint(0,1,0, lcar1, 8)
    gmsh.model.geo.addPoint(1,1,0, lcar1, 9)
    gmsh.model.geo.addPoint(0,0,1, lcar1, 10)
    gmsh.model.geo.addPoint(0,1,1, lcar1, 11)
    gmsh.model.geo.addPoint(1,1,1, lcar1, 12)
    gmsh.model.geo.addPoint(1,0,1, lcar1, 13)
    gmsh.model.geo.addPoint(1,0,0, lcar1, 14)

    gmsh.model.geo.addLine(8,9, 1);   gmsh.model.geo.addLine(9,12, 2)
    gmsh.model.geo.addLine(12,11, 3); gmsh.model.geo.addLine(11,8, 4)
    gmsh.model.geo.addLine(9,14, 5);  gmsh.model.geo.addLine(14,13, 6)
    gmsh.model.geo.addLine(13,12, 7); gmsh.model.geo.addLine(11,10, 8)
    gmsh.model.geo.addLine(10,13, 9); gmsh.model.geo.addLine(10,4, 10)
    gmsh.model.geo.addLine(4,5, 11);  gmsh.model.geo.addLine(5,6, 12)
    gmsh.model.geo.addLine(6,2, 13);  gmsh.model.geo.addLine(2,1, 14)
    gmsh.model.geo.addLine(1,3, 15);  gmsh.model.geo.addLine(3,7, 16)
    gmsh.model.geo.addLine(7,2, 17);  gmsh.model.geo.addLine(3,4, 18)
    gmsh.model.geo.addLine(5,1, 19);  gmsh.model.geo.addLine(7,8, 20)
    gmsh.model.geo.addLine(6,14, 21);

    gmsh.model.geo.addCurveLoop([-11,-19,-15,-18], 22)
    gmsh.model.geo.addPlaneSurface([22], 23)
    gmsh.model.geo.addCurveLoop([16,17,14,15], 24)
    gmsh.model.geo.addPlaneSurface([24], 25)
    gmsh.model.geo.addCurveLoop([-17,20,1,5,-21,13], 26)
    gmsh.model.geo.addPlaneSurface([26], 27)
    gmsh.model.geo.addCurveLoop([-4,-1,-2,-3], 28)
    gmsh.model.geo.addPlaneSurface([28], 29)
    gmsh.model.geo.addCurveLoop([-7,2,-5,-6], 30)
    gmsh.model.geo.addPlaneSurface([30], 31)
    gmsh.model.geo.addCurveLoop([6,-9,10,11,12,21], 32)
    gmsh.model.geo.addPlaneSurface([32], 33)
    gmsh.model.geo.addCurveLoop([7,3,8,9], 34)
    gmsh.model.geo.addPlaneSurface([34], 35)
    gmsh.model.geo.addCurveLoop([-10,18,-16,-20,4,-8], 36)
    gmsh.model.geo.addPlaneSurface([36], 37)
    gmsh.model.geo.addCurveLoop([-14,-13,-12,19], 38)
    gmsh.model.geo.addPlaneSurface([38], 39)

    shells = []

    sl = gmsh.model.geo.addSurfaceLoop([35,31,29,37,33,23,39,25,27])
    push!(shells, sl)

    function cheeseHole(x, y, z, r, lc, shells)
        p1 = gmsh.model.geo.addPoint(x,  y,  z,   lc)
        p2 = gmsh.model.geo.addPoint(x+r,y,  z,   lc)
        p3 = gmsh.model.geo.addPoint(x,  y+r,z,   lc)
        p4 = gmsh.model.geo.addPoint(x,  y,  z+r, lc)
        p5 = gmsh.model.geo.addPoint(x-r,y,  z,   lc)
        p6 = gmsh.model.geo.addPoint(x,  y-r,z,   lc)
        p7 = gmsh.model.geo.addPoint(x,  y,  z-r, lc)

        c1 = gmsh.model.geo.addCircleArc(p2,p1,p7)
        c2 = gmsh.model.geo.addCircleArc(p7,p1,p5)
        c3 = gmsh.model.geo.addCircleArc(p5,p1,p4)
        c4 = gmsh.model.geo.addCircleArc(p4,p1,p2)
        c5 = gmsh.model.geo.addCircleArc(p2,p1,p3)
        c6 = gmsh.model.geo.addCircleArc(p3,p1,p5)
        c7 = gmsh.model.geo.addCircleArc(p5,p1,p6)
        c8 = gmsh.model.geo.addCircleArc(p6,p1,p2)
        c9 = gmsh.model.geo.addCircleArc(p7,p1,p3)
        c10 = gmsh.model.geo.addCircleArc(p3,p1,p4)
        c11 = gmsh.model.geo.addCircleArc(p4,p1,p6)
        c12 = gmsh.model.geo.addCircleArc(p6,p1,p7)

        l1 = gmsh.model.geo.addCurveLoop([c5,c10,c4])
        l2 = gmsh.model.geo.addCurveLoop([c9,-c5,c1])
        l3 = gmsh.model.geo.addCurveLoop([c12,-c8,-c1])
        l4 = gmsh.model.geo.addCurveLoop([c8,-c4,c11])
        l5 = gmsh.model.geo.addCurveLoop([-c10,c6,c3])
        l6 = gmsh.model.geo.addCurveLoop([-c11,-c3,c7])
        l7 = gmsh.model.geo.addCurveLoop([-c2,-c7,-c12])
        l8 = gmsh.model.geo.addCurveLoop([-c6,-c9,c2])

        s1 = gmsh.model.geo.addSurfaceFilling([l1])
        s2 = gmsh.model.geo.addSurfaceFilling([l2])
        s3 = gmsh.model.geo.addSurfaceFilling([l3])
        s4 = gmsh.model.geo.addSurfaceFilling([l4])
        s5 = gmsh.model.geo.addSurfaceFilling([l5])
        s6 = gmsh.model.geo.addSurfaceFilling([l6])
        s7 = gmsh.model.geo.addSurfaceFilling([l7])
        s8 = gmsh.model.geo.addSurfaceFilling([l8])

        sl = gmsh.model.geo.addSurfaceLoop([s1, s2, s3, s4, s5, s6, s7, s8])
        v = gmsh.model.geo.addVolume([sl])
        push!(shells, sl)
        return v
    end

    x = 0
    y = 0.75; z = 0; r = 0.09
    for t in 1:5
        x += 0.166
        z += 0.166
        v = cheeseHole(x, y, z, r, lcar3, shells)
        gmsh.model.geo.addPhysicalGroup(3, [v], t)
    end

    gmsh.model.geo.addVolume(shells, 186);

    gmsh.model.geo.synchronize()

    gmsh.model.addPhysicalGroup(3, [186], 10);

    gmsh.model.mesh.generate(3)
    grid = ExtendableGrids.simplexgrid_from_gmsh(gmsh.model)
    gmsh.finalize()
    grid
end

CI callbacks for ExampleJuggler.jl

Unit tests

using Test
function runtests()
    ok(grid)= num_nodes(grid) > 0 && num_cells(grid) > 0 && num_bfaces(grid) > 0
    @test ok(gmsh_t1())
    @test ok(gmsh_t4())
    @test ok(gmsh_t5())
end

Plot generation

using GridVisualize
function generateplots(picdir; Plotter = nothing)
    if isdefined(Plotter, :Makie)
        size = (500, 500)
        Plotter.save(joinpath(picdir, "gmsh_t1.svg"), gridplot(gmsh_t1(); Plotter, size))
        Plotter.save(joinpath(picdir, "gmsh_t4.svg"), gridplot(gmsh_t4(); Plotter, size))
        Plotter.save(joinpath(picdir, "gmsh_t5.svg"), gridplot(gmsh_t5(); Plotter, size))
    end
end

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