|
| 1 | +//! Benchmarks for the evaluation of the Helmholtz energy function |
| 2 | +//! for a given `StateHD` for different types of dual numbers. |
| 3 | +//! These should give an idea about the expected slow-down depending |
| 4 | +//! on the dual number type used without the overhead of the `State` |
| 5 | +//! creation. |
| 6 | +use criterion::{criterion_group, criterion_main, Criterion}; |
| 7 | +use feos::pcsaft::{PcSaft, PcSaftParameters}; |
| 8 | +use feos_core::{ |
| 9 | + parameter::{IdentifierOption, Parameter}, |
| 10 | + Derivative, EquationOfState, HelmholtzEnergy, HelmholtzEnergyDual, State, StateHD, |
| 11 | +}; |
| 12 | +use ndarray::{arr1, Array}; |
| 13 | +use num_dual::DualNum; |
| 14 | +use quantity::si::*; |
| 15 | +use std::sync::Arc; |
| 16 | + |
| 17 | +/// Helper function to create a state for given parameters. |
| 18 | +/// - temperature is 80% of critical temperature, |
| 19 | +/// - volume is critical volume, |
| 20 | +/// - molefracs (or moles) for equimolar mixture. |
| 21 | +fn state_pcsaft(parameters: PcSaftParameters) -> State<SIUnit, PcSaft> { |
| 22 | + let n = parameters.pure_records.len(); |
| 23 | + let eos = Arc::new(PcSaft::new(Arc::new(parameters))); |
| 24 | + let moles = Array::from_elem(n, 1.0 / n as f64) * 10.0 * MOL; |
| 25 | + let cp = State::critical_point(&eos, Some(&moles), None, Default::default()).unwrap(); |
| 26 | + let temperature = 0.8 * cp.temperature; |
| 27 | + State::new_nvt(&eos, temperature, cp.volume, &moles).unwrap() |
| 28 | +} |
| 29 | + |
| 30 | +/// Residual Helmholtz energy given an equation of state and a StateHD. |
| 31 | +fn a_res<D: DualNum<f64>, E: EquationOfState>(inp: (&Arc<E>, &StateHD<D>)) -> D |
| 32 | +where |
| 33 | + (dyn HelmholtzEnergy + 'static): HelmholtzEnergyDual<D>, |
| 34 | +{ |
| 35 | + inp.0.evaluate_residual(inp.1) |
| 36 | +} |
| 37 | + |
| 38 | +/// Benchmark for evaluation of the Helmholtz energy for different dual number types. |
| 39 | +fn bench_dual_numbers<E: EquationOfState>( |
| 40 | + c: &mut Criterion, |
| 41 | + group_name: &str, |
| 42 | + state: State<SIUnit, E>, |
| 43 | +) { |
| 44 | + let mut group = c.benchmark_group(group_name); |
| 45 | + group.bench_function("a_f64", |b| { |
| 46 | + b.iter(|| a_res((&state.eos, &state.derive0()))) |
| 47 | + }); |
| 48 | + group.bench_function("a_dual", |b| { |
| 49 | + b.iter(|| a_res((&state.eos, &state.derive1(Derivative::DV)))) |
| 50 | + }); |
| 51 | + group.bench_function("a_hyperdual", |b| { |
| 52 | + b.iter(|| a_res((&state.eos, &state.derive2(Derivative::DV, Derivative::DV)))) |
| 53 | + }); |
| 54 | + group.bench_function("a_dual3", |b| { |
| 55 | + b.iter(|| a_res((&state.eos, &state.derive3(Derivative::DV)))) |
| 56 | + }); |
| 57 | +} |
| 58 | + |
| 59 | +/// Benchmark for the PC-SAFT equation of state |
| 60 | +fn pcsaft(c: &mut Criterion) { |
| 61 | + // methane |
| 62 | + let parameters = PcSaftParameters::from_json( |
| 63 | + vec!["methane"], |
| 64 | + "./parameters/pcsaft/gross2001.json", |
| 65 | + None, |
| 66 | + IdentifierOption::Name, |
| 67 | + ) |
| 68 | + .unwrap(); |
| 69 | + bench_dual_numbers(c, "methane", state_pcsaft(parameters)); |
| 70 | + |
| 71 | + // water (4C, polar) |
| 72 | + let parameters = PcSaftParameters::from_json( |
| 73 | + vec!["water_4C_polar"], |
| 74 | + "./parameters/pcsaft/rehner2020.json", |
| 75 | + None, |
| 76 | + IdentifierOption::Name, |
| 77 | + ) |
| 78 | + .unwrap(); |
| 79 | + bench_dual_numbers(c, "water_4c_polar", state_pcsaft(parameters)); |
| 80 | + |
| 81 | + // methane, ethane, propane |
| 82 | + let parameters = PcSaftParameters::from_json( |
| 83 | + vec!["methane", "ethane", "propane"], |
| 84 | + "./parameters/pcsaft/gross2001.json", |
| 85 | + None, |
| 86 | + IdentifierOption::Name, |
| 87 | + ) |
| 88 | + .unwrap(); |
| 89 | + bench_dual_numbers(c, "methane_ethane_propane", state_pcsaft(parameters)); |
| 90 | +} |
| 91 | + |
| 92 | +/// Benchmark for the PC-SAFT equation of state. |
| 93 | +/// Binary system of methane and co2 used to model biogas. |
| 94 | +fn methane_co2_pcsaft(c: &mut Criterion) { |
| 95 | + let parameters = PcSaftParameters::from_multiple_json( |
| 96 | + &[ |
| 97 | + (vec!["methane"], "./parameters/pcsaft/gross2001.json"), |
| 98 | + ( |
| 99 | + vec!["carbon dioxide"], |
| 100 | + "./parameters/pcsaft/gross2005_fit.json", |
| 101 | + ), |
| 102 | + ], |
| 103 | + None, |
| 104 | + IdentifierOption::Name, |
| 105 | + ) |
| 106 | + .unwrap(); |
| 107 | + let k_ij = -0.0192211646; |
| 108 | + let parameters = |
| 109 | + PcSaftParameters::new_binary(parameters.pure_records.clone(), Some(k_ij.into())); |
| 110 | + let eos = Arc::new(PcSaft::new(Arc::new(parameters))); |
| 111 | + |
| 112 | + // 230 K, 50 bar, x0 = 0.15 |
| 113 | + let temperature = 230.0 * KELVIN; |
| 114 | + let density = 24.16896 * KILO * MOL / METER.powi(3); |
| 115 | + let volume = 10.0 * MOL / density; |
| 116 | + let x = arr1(&[0.15, 0.85]); |
| 117 | + let moles = &x * 10.0 * MOL; |
| 118 | + let state = State::new_nvt(&eos, temperature, volume, &moles).unwrap(); |
| 119 | + bench_dual_numbers(c, "methane_co2", state); |
| 120 | +} |
| 121 | + |
| 122 | +criterion_group!(bench, pcsaft, methane_co2_pcsaft); |
| 123 | +criterion_main!(bench); |
0 commit comments