Empty contour3d plot of Mesh

Specific Domains Visualization
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1

I want to get 3d contour plot of V values but i got empty plot. Here r, θ and ϕ are in spherical coordinates. I convert them to Cartessian coordinates X,Y and Z.

using GLMakie
f= Figure(size = (1000, 800))
ax = Axis3(f[1, 1])

r = Float32[1.1222988, 1.1678005, 1.215147, 1.2644131, 1.3156766, 1.3690186, 1.424523, 1.482278, 1.5423744, 1.6049074, 1.6699756, 1.737682, 1.8081334, 1.881441, 1.9577209, 2.0370934, 2.119684, 2.205623, 2.295046, 2.388095, 2.4849162, 2.585663]
θ = Float32[0.024543693, 0.07363108, 0.12271846, 0.17180584]
ϕ = Float32[0.09817477, 0.2945243, 0.49087384, 0.6872234, 0.88357294, 1.0799224, 1.276272, 1.4726216, 1.6689711, 1.8653207, 2.06167, 2.2580197, 2.4543693, 2.6507187, 2.8470683, 3.043418]
V = Float32[0.69034183, 0.68617505, 0.678311, 0.66594446, 0.6514094, 0.63842756, 0.6312489, 0.64020914, 0.68830246, 0.8209241, 1.1211979, 1.728569, 3.0945296, 9.972015, 11.908381, 4.8196745, 0.5812491, 0.58702517, 0.59118026, 0.5814003, 0.55916256, 0.53254443, 0.50835073, 0.47984973, 0.43967253, 0.43115935, 0.5087082, 0.63454926, 0.73821497, 0.908432, 1.1420461, 1.3739116, 0.5463775, 0.5444199, 0.5436596, 0.53882235, 0.5300733, 0.5177401, 0.49880508, 0.47760096, 0.45598823, 0.44800574, 0.46725485, 0.5139982, 0.57361597, 0.64175177, 0.71744156, 0.7778384, 0.5309071, 0.5222486, 0.51522213, 0.5119258, 0.5095135, 0.5064487, 0.4992317, 0.4837664, 0.4667256, 0.45582965, 0.45813984, 0.48471057, 0.5318217, 0.5881211, 0.62852377, 0.6491959, 0.53076553, 0.56768084, 0.62073493, 0.69128263, 0.78285617, 0.90382653, 1.0735799, 1.3330735, 1.7461927, 2.3120244, 3.1553578, 6.58914, 13.79451, 3.4805202, 2.268503, 1.9975204, 0.46332872, 0.47267213, 0.4912733, 0.5236122, 0.56661516, 0.61282396, 0.6627111, 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Nx, Ny, Nz = length(r), length(θ), length(ϕ)
X, Y, Z = Float32[], Float32[], Float32[]
for i in 1:Nx, j in 1:Ny, k in 1:Nz
    x = r[i] * sin(θ[j]) * cos(ϕ[k])
    y = r[i] * sin(θ[j]) * sin(ϕ[k])
    z = r[i] * cos(θ[j])
    push!(X, x)
    push!(Y, y)
    push!(Z, z)
end
contour3d!(X,Y,Z, levels =V, color=:blue2)
f
2

Z should be a matrix and levels a scalar.

help?> contour3d
search: contour3d contour3d! Contour3d contour contourf contour! contourf! Contourf Contour

  contour3d(x, y, z)

  Creates a 3D contour plot of the plane spanning x::Vector, y::Vector, z::Matrix, with
  z-elevation for each level.

SNIP

  levels = 5 — Controls the number and location of the contour lines. Can be either

    •  an Int that produces n equally wide levels or bands

    •  an AbstractVector{<:Real} that lists n consecutive edges from low to high, which
       result in n-1 levels or bands
1 Like
3

But i would have to convert data to cartesian system. It would be better to have contour3d on a mesh of spherical coordinates in Meshes.jl. Please see similar post here Contour lines on a mesh?.

using GLMakie
f= Figure(size = (1000, 800))
ax = Axis3(f[1, 1])

r = Float32[1.1222988, 1.1678005, 1.215147, 1.2644131, 1.3156766, 1.3690186, 1.424523, 1.482278, 1.5423744, 1.6049074, 1.6699756, 1.737682, 1.8081334, 1.881441, 1.9577209, 2.0370934, 2.119684, 2.205623, 2.295046, 2.388095, 2.4849162, 2.585663]
θ = Float32[0.024543693, 0.07363108, 0.12271846, 0.17180584]
ϕ = Float32[0.09817477, 0.2945243, 0.49087384, 0.6872234, 0.88357294, 1.0799224, 1.276272, 1.4726216, 1.6689711, 1.8653207, 2.06167, 2.2580197, 2.4543693, 2.6507187, 2.8470683, 3.043418]
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for k in 1:length(ϕ)
    contour!(r,θ,val[:, :, k], color=:blue2)
end
f

I am getting plain plot even after supplying different ϕ values.