Orbital Dynamics BVP Benchmark
This is a benchmark of a small non-stiff BVP.
using BoundaryValueDiffEq, OrdinaryDiffEq, BenchmarkTools
y0 = [
-4.7763169762853989E+06,
-3.8386398704441520E+05,
-5.3500183933132319E+06,
-5528.612564911408,
1216.8442360202787,
4845.114446429901,
]
init_val = [
-4.7763169762853989E+06,
-3.8386398704441520E+05,
-5.3500183933132319E+06,
7.0526926403748598E+06,
-7.9650476230388973E+05,
-1.1911128863666430E+06,
]
J2 = 1.08262668E-3
req = 6378137
myu = 398600.4418E+9
t0 = 86400 * 2.3577475462484435E+04
t1 = 86400 * 2.3577522023524125E+04
tspan = (t0, t1)
# ODE solver
function orbital(dy, y, p, t)
r2 = (y[1]^2 + y[2]^2 + y[3]^2)
r3 = r2^(3 / 2)
w = 1 + 1.5J2 * (req * req / r2) * (1 - 5y[3] * y[3] / r2)
w2 = 1 + 1.5J2 * (req * req / r2) * (3 - 5y[3] * y[3] / r2)
dy[1] = y[4]
dy[2] = y[5]
dy[3] = y[6]
dy[4] = -myu * y[1] * w / r3
dy[5] = -myu * y[2] * w / r3
dy[6] = -myu * y[3] * w2 / r3
end
function bc!_generator(resid, sol, init_val)
resid[1] = sol[1][1] - init_val[1]
resid[2] = sol[1][2] - init_val[2]
resid[3] = sol[1][3] - init_val[3]
resid[4] = sol[end][1] - init_val[4]
resid[5] = sol[end][2] - init_val[5]
resid[6] = sol[end][3] - init_val[6]
end
cur_bc! = (resid, sol, p, t) -> bc!_generator(resid, sol, init_val)
resid_f = Array{Float64}(undef, 6)
bvp = BVProblem(orbital, cur_bc!, y0, tspan)BVProblem with uType Vector{Float64} and tType Float64. In-place: true
timespan: (2.037093879958655e9, 2.0370979028324845e9)
u0: 6-element Vector{Float64}:
-4.776316976285399e6
-383863.9870444152
-5.350018393313232e6
-5528.612564911408
1216.8442360202787
4845.114446429901@btime sol = solve(bvp, Shooting(DP5()), abstol = 1e-13, reltol = 1e-13)Error: MethodError: no method matching Float64(::ForwardDiff.Dual{ForwardDi
ff.Tag{NonlinearSolve.NonlinearSolveTag, Float64}, Float64, 1})
Closest candidates are:
(::Type{T})(::Real, !Matched::RoundingMode) where T<:AbstractFloat
@ Base rounding.jl:207
(::Type{T})(::T) where T<:Number
@ Core boot.jl:792
Float64(!Matched::IrrationalConstants.Invsqrt2π)
@ IrrationalConstants /cache/julia-buildkite-plugin/depots/5b300254-1738
-4989-ae0a-f4d2d937f953/packages/IrrationalConstants/vp5v4/src/macro.jl:112
...@btime sol = solve(bvp, MIRK2(), abstol = 1e-13, reltol = 1e-13)Error: ArgumentError: dt must be positive@btime sol = solve(bvp, MIRK3(), abstol = 1e-13, reltol = 1e-13)Error: ArgumentError: dt must be positive@btime sol = solve(bvp, MIRK4(), abstol = 1e-13, reltol = 1e-13)Error: ArgumentError: dt must be positive@btime sol = solve(bvp, MIRK5(), abstol = 1e-13, reltol = 1e-13)Error: ArgumentError: dt must be positive@btime sol = solve(bvp, MIRK6(), abstol = 1e-13, reltol = 1e-13)Error: ArgumentError: dt must be positiveAppendix
Appendix
These benchmarks are a part of the SciMLBenchmarks.jl repository, found at: https://github.com/SciML/SciMLBenchmarks.jl. For more information on high-performance scientific machine learning, check out the SciML Open Source Software Organization https://sciml.ai.
To locally run this benchmark, do the following commands:
using SciMLBenchmarks
SciMLBenchmarks.weave_file("benchmarks/NonStiffBVP","orbital.jmd")Computer Information:
Julia Version 1.10.1
Commit 7790d6f0641 (2024-02-13 20:41 UTC)
Build Info:
Official https://julialang.org/ release
Platform Info:
OS: Linux (x86_64-linux-gnu)
CPU: 128 × AMD EPYC 7502 32-Core Processor
WORD_SIZE: 64
LIBM: libopenlibm
LLVM: libLLVM-15.0.7 (ORCJIT, znver2)
Threads: 1 default, 0 interactive, 1 GC (on 128 virtual cores)
Environment:
JULIA_CPU_THREADS = 128
JULIA_DEPOT_PATH = /cache/julia-buildkite-plugin/depots/5b300254-1738-4989-ae0a-f4d2d937f953
Package Information:
Status `/cache/build/exclusive-amdci1-0/julialang/scimlbenchmarks-dot-jl/benchmarks/NonStiffBVP/Project.toml`
[ded0fc24] BVProblemLibrary v0.1.4
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[31c91b34] SciMLBenchmarks v0.1.3 `../..`And the full manifest:
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[8e850ede] nghttp2_jll v1.52.0+1
[3f19e933] p7zip_jll v17.4.0+2
Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`