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Add marine #27

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09e273a
add `marine`
tmigot Oct 15, 2021
6f6ebab
fix meta
tmigot Oct 22, 2021
9b8e9f3
add `marine`
tmigot Oct 15, 2021
89e2e64
fix
tmigot Oct 20, 2021
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126 changes: 126 additions & 0 deletions src/marine.jl
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Original file line number Diff line number Diff line change
@@ -1,2 +1,128 @@
export marine

# Marine Population Dynamics COPS Problem v.0.3.1
# https://www.mcs.anl.gov/~more//cops/cops3.pdf
function marine(args...; n = 400, T = 10.0, kwargs...)
model = CartesianDiscreteModel((0, T), n)

valuetype = Float64
reffe = ReferenceFE(lagrangian, valuetype, 1)
Vfree = TestFESpace(model, reffe; conformity = :H1)
Ufree = TrialFESpace(Vfree)
Xpde = MultiFieldFESpace([Vfree, Vfree, Vfree, Vfree, Vfree, Vfree, Vfree, Vfree])
Ypde = MultiFieldFESpace([Ufree, Ufree, Ufree, Ufree, Ufree, Ufree, Ufree, Ufree])
Xm = MultiFieldFESpace([Vfree, Vfree, Vfree, Vfree, Vfree, Vfree, Vfree, Vfree])
Ym = MultiFieldFESpace([Ufree, Ufree, Ufree, Ufree, Ufree, Ufree, Ufree, Ufree])
Xg = MultiFieldFESpace([Vfree, Vfree, Vfree, Vfree, Vfree, Vfree, Vfree])
Yg = MultiFieldFESpace([Ufree, Ufree, Ufree, Ufree, Ufree, Ufree, Ufree])
Ycon = MultiFieldFESpace(vcat(Ym.spaces, Yg.spaces))
Xcon = MultiFieldFESpace(vcat(Xm.spaces, Xg.spaces))

conv(u, ∇u) = (∇u ⋅ one(∇u)) ⊙ u
c(u, v) = conv ∘ (v, ∇(u))
function res(y, u, p)
y1, y2, y3, y4, y5, y6, y7, y8 = y
m1, m2, m3, m4, m5, m6, m7, m8, g1, g2, g3, g4, g5, g6, g7 = u
p1, p2, p3, p4, p5, p6, p7, p8 = p
return ∫( c(y1, p1) + p1 * (m1 + g1) * y1 +
c(y2, p2) - p2 * g1 * y1 + p2 * (m2 + g2) * y2 +
c(y3, p3) - p3 * g2 * y2 + p3 * (m3 + g3) * y3 +
c(y4, p4) - p4 * g3 * y3 + p4 * (m4 + g4) * y4 +
c(y5, p5) - p5 * g4 * y4 + p5 * (m5 + g5) * y5 +
c(y6, p6) - p6 * g5 * y5 + p6 * (m6 + g6) * y6 +
c(y7, p7) - p7 * g6 * y6 + p7 * (m7 + g7) * y7 +
c(y8, p8) - p8 * g7 * y7 + p8 * m8 * y8 )dΩ
#=
return ∫( c(y[1], p[1]) + (u[1] + u[8 + 1]) * y[1] +
c(y[2], p[2]) - u[8 + 2 -1] * y[2 - 1] + (u[2] + u[8 + 2]) * y[2] +
c(y[3], p[3]) - u[8 + 3 -1] * y[3 - 1] + (u[3] + u[8 + 3]) * y[3] +
c(y[4], p[4]) - u[8 + 4 -1] * y[4 - 1] + (u[4] + u[8 + 4]) * y[4] +
c(y[5], p[5]) - u[8 + 5 -1] * y[5 - 1] + (u[5] + u[8 + 5]) * y[5] +
c(y[6], p[6]) - u[8 + 6 -1] * y[6 - 1] + (u[6] + u[8 + 6]) * y[6] +
c(y[7], p[7]) - u[8 + 7 -1] * y[7 - 1] + (u[7] + u[8 + 7]) * y[7] +
c(y[8], p[8]) - u[15] * y[7] + u[8] * y[8] )dΩ
=#
end

trian = Triangulation(model)
degree = 1
dΩ = Measure(trian, degree)
op = FEOperator(res, Ypde, Xpde)

τ = [
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
5.0
5.5
6.0
6.5
7.0
7.5
8.0
8.5
9.0
9.5
10.0
]
zmes = [
20000.0 17000.0 10000.0 15000.0 12000.0 9000.0 7000.0 3000.0
12445.0 15411.0 13040.0 13338.0 13484.0 8426.0 6615.0 4022.0
7705.0 13074.0 14623.0 11976.0 12453.0 9272.0 6891.0 5020.0
4664.0 8579.0 12434.0 12603.0 11738.0 9710.0 6821.0 5722.0
2977.0 7053.0 11219.0 11340.0 13665.0 8534.0 6242.0 5695.0
1769.0 5054.0 10065.0 11232.0 12112.0 9600.0 6647.0 7034.0
943.0 3907.0 9473.0 10334.0 11115.0 8826.0 6842.0 7348.0
581.0 2624.0 7421.0 10297.0 12427.0 8747.0 7199.0 7684.0
355.0 1744.0 5369.0 7748.0 10057.0 8698.0 6542.0 7410.0
223.0 1272.0 4713.0 6869.0 9564.0 8766.0 6810.0 6961.0
137.0 821.0 3451.0 6050.0 8671.0 8291.0 6827.0 7525.0
87.0 577.0 2649.0 5454.0 8430.0 7411.0 6423.0 8388.0
49.0 337.0 2058.0 4115.0 7435.0 7627.0 6268.0 7189.0
32.0 228.0 1440.0 3790.0 6474.0 6658.0 5859.0 7467.0
17.0 168.0 1178.0 3087.0 6524.0 5880.0 5562.0 7144.0
11.0 99.0 919.0 2596.0 5360.0 5762.0 4480.0 7256.0
7.0 65.0 647.0 1873.0 4556.0 5058.0 4944.0 7538.0
4.0 44.0 509.0 1571.0 4009.0 4527.0 4233.0 6649.0
2.0 27.0 345.0 1227.0 3677.0 4229.0 3805.0 6378.0
1.0 20.0 231.0 934.0 3197.0 3695.0 3159.0 6454.0
1.0 12.0 198.0 707.0 2562.0 3163.0 3232.0 5566.0
]

objterm = PDEOptimizationProblems.InterpolatedEnergyFETerm(8, 21, zmes, 1, τ, dΩ, 1 / n)
f = (y, u) -> PDEOptimizationProblems.interpolated_measurement(objterm, y)

ndofs = Gridap.FESpaces.num_free_dofs(Ypde) + Gridap.FESpaces.num_free_dofs(Ycon)
xin = zeros(ndofs)
return GridapPDENLPModel(xin, f, trian, Ypde, Ycon, Xpde, Xcon, op, name = "Marine Population Dynamics n=$n")
end

marine_meta = Dict(
:name => "marine",
:domaindim => UInt8(1),
:pbtype => :yu,
:nθ => 0,
:ny => 8,
:nu => 15,
:optimal_value => NaN,
:is_infeasible => false,
:objtype => :sum_of_squares,
:contype => :general,
:origin => :unknown,
:deriv => typemax(UInt8),
:has_cvx_obj => false,
:has_cvx_con => false,
:has_equalities_only => true,
:has_inequalities_only => false,
:has_bounds => false,
:has_fixed_variables => true,
)

get_marine_meta(n::Integer = default_nvar) = (23 * (n + 1), 8 * (n + 1))
2 changes: 1 addition & 1 deletion test/runtests.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -4,7 +4,7 @@ using PDEOptimizationProblems
include("utils.jl")

# Test that every problem can be instantiated.
for prob in setdiff(names(PDEOptimizationProblems), [:PDEOptimizationProblems])
for prob in [:marine] #setdiff(names(PDEOptimizationProblems), [:PDEOptimizationProblems])
@time begin
print(prob)
prob_fn = PDEOptimizationProblems.eval(prob)
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