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use crate::{
error::Result,
interpolation::linear_interp,
parcel::{mixed_layer_parcel, Parcel},
parcel_profile::{
find_parcel_start_data,
lift::{
create_level_type_mapping, create_parcel_calc_t, parcel_lcl, AnalLevel, AnalLevelType,
},
ParcelProfile,
},
sounding::Sounding,
};
use itertools::{izip, Itertools};
use metfor::{self, Celsius, CelsiusDiff, HectoPascal, JpKg, Kelvin, Meters, Quantity};
use optional::{none, some, Optioned};
#[derive(Debug, Clone, Copy)]
pub struct PlumeAscentAnalysis {
pub parcel: Parcel,
pub max_int_buoyancy: Optioned<JpKg>,
pub max_dry_int_buoyancy: Optioned<JpKg>,
pub lcl_height: Optioned<Meters>,
pub el_height: Optioned<Meters>,
pub max_height: Optioned<Meters>,
pub sfc_height: Meters,
}
#[derive(Debug, Clone)]
pub struct PlumeHeatingAnalysis {
pub starting_parcel: Parcel,
pub dts: Vec<CelsiusDiff>,
pub max_int_buoyancies: Vec<Optioned<JpKg>>,
pub wet_ratio: Vec<Optioned<f64>>,
pub lcl_heights: Vec<Optioned<Meters>>,
pub el_heights: Vec<Optioned<Meters>>,
pub max_heights: Vec<Optioned<Meters>>,
}
#[derive(Debug)]
pub struct BlowUpAnalysis {
pub starting_parcel: Parcel,
pub delta_t_el: CelsiusDiff,
pub delta_t_cloud: CelsiusDiff,
pub delta_z_el: Meters,
pub mib: JpKg,
pub pct_wet: f64,
}
impl BlowUpAnalysis {}
pub fn calc_plumes(
snd: &Sounding,
increment: CelsiusDiff,
min_dt: CelsiusDiff,
max_dt: CelsiusDiff,
moisture_ratio: Option<f64>,
) -> Result<Vec<PlumeAscentAnalysis>> {
let (_starting_parcel, parcels_iter) =
plume_parcels(snd, min_dt, max_dt, increment, moisture_ratio)?;
Ok(parcels_iter
.filter_map(|(_, pcl)| analyze_plume_parcel(pcl, snd).ok())
.skip_while(|anal| anal.el_height.is_none())
.take_while(|anal| anal.el_height.is_some())
.collect())
}
fn plumes_heating_iter(
snd: &Sounding,
moisture_ratio: Option<f64>,
) -> Result<(
Parcel,
impl Iterator<Item = (CelsiusDiff, PlumeAscentAnalysis)> + '_,
)> {
const INCREMENT: CelsiusDiff = CelsiusDiff(0.1);
const MIN_DT: CelsiusDiff = CelsiusDiff(-1.0);
const MAX_DT: CelsiusDiff = CelsiusDiff(20.0);
let (starting_parcel, parcel_iter) =
plume_parcels(snd, MIN_DT, MAX_DT, INCREMENT, moisture_ratio)?;
let anal_iter = parcel_iter
.filter_map(move |(dt, pcl)| analyze_plume_parcel(pcl, snd).ok().map(|anal| (dt, anal)))
.skip_while(|(_dt, anal)| {
anal.el_height.is_none() && anal.max_height.is_none() && anal.lcl_height.is_none()
})
.take_while(|(_dt, anal)| {
anal.el_height.is_some() || anal.max_height.is_some() || anal.lcl_height.is_some()
})
.scan(
(Meters(0.0), Meters(0.0), Meters(0.0)),
|(prev_lcl, prev_lmib, prev_max_z), (dt, anal)| {
if let (Some(lcl), Some(lmib), Some(max_z)) = (
anal.lcl_height.into_option(),
anal.el_height.into_option(),
anal.max_height.into_option(),
) {
if lcl >= *prev_lcl && lmib >= *prev_lmib && max_z >= *prev_max_z {
*prev_lcl = lcl;
*prev_lmib = lmib;
*prev_max_z = max_z;
} else {
return Some(None);
}
}
Some(Some((dt, anal)))
},
)
.flatten();
Ok((starting_parcel, anal_iter))
}
pub fn blow_up(snd: &Sounding, moisture_ratio: Option<f64>) -> Result<BlowUpAnalysis> {
let (starting_parcel, anal_iter) = plumes_heating_iter(snd, moisture_ratio)?;
let (anal_iter0, anal_iter) = anal_iter.tee();
if let Some(immediate_blow_up) = check_for_immediate_blow_up(starting_parcel, anal_iter0) {
return Ok(immediate_blow_up);
}
let (mut dt_el, mut delta_z_el, mut mib) = (CelsiusDiff(0.0), Meters(0.0), JpKg(0.0));
let mut pct_wet = 0.0;
let mut dt_cloud = CelsiusDiff(0.0);
anal_iter
.filter_map(|(dt, anal)| {
if let (Some(el), Some(mib), Some(dry_mib)) = (
anal.el_height.into_option(),
anal.max_int_buoyancy.into_option(),
anal.max_dry_int_buoyancy.into_option(),
) {
Some((dt, el, mib, dry_mib, anal.lcl_height))
} else {
None
}
})
.tuple_windows::<(_, _)>()
.scan(0.0f64, |deriv, (lvl0, lvl1)| {
let (dt0, el0, _, _, _) = lvl0;
let (dt1, el1, mib1, _, _) = lvl1;
debug_assert_ne!(dt0, dt1);
let dx = dt1 - dt0;
let derivative = (el1 - el0).unpack() / dx.unpack();
let dt = (dt1 + dt0) / 2.0;
if derivative > *deriv {
dt_el = dt;
*deriv = derivative;
delta_z_el = el1 - el0;
mib = mib1;
}
Some((dt, dt_el, lvl0, lvl1))
})
.map(|(dt, curr_dt_el, lvl0, lvl1)| {
let (_, _, mib0, dry0, lcl0) = lvl0;
let (_, _, mib1, dry1, lcl1) = lvl1;
if (dt - CelsiusDiff(1.0) - curr_dt_el).abs() <= CelsiusDiff(1.0e-4) {
let avg_mib = (mib0 + mib1) / 2.0;
let avg_dryb = (dry0 + dry1) / 2.0;
pct_wet = (avg_mib - avg_dryb) / avg_mib;
}
(dt, lcl0, lcl1)
})
.for_each(|(dt, lcl0, lcl1)| {
if lcl0.is_none() && lcl1.is_some() && dt_cloud == CelsiusDiff(0.0) {
dt_cloud = dt;
}
});
Ok(BlowUpAnalysis {
starting_parcel,
delta_t_cloud: dt_cloud,
delta_t_el: dt_el,
delta_z_el,
mib,
pct_wet,
})
}
fn check_for_immediate_blow_up(
starting_parcel: Parcel,
mut iter: impl Iterator<Item = (CelsiusDiff, PlumeAscentAnalysis)>,
) -> Option<BlowUpAnalysis> {
if let Some((dt0, el0, lcl_opt, mib0, dry_mib0, sfc_height)) = iter.next().and_then(|anal| {
anal.1.el_height.into_option().map(|el| {
(
anal.0,
el,
anal.1.lcl_height,
anal.1.max_int_buoyancy,
anal.1.max_dry_int_buoyancy,
anal.1.sfc_height,
)
})
}) {
if el0 > Meters(5000.0) {
let dt_cloud;
if lcl_opt.is_some() {
dt_cloud = dt0;
} else {
dt_cloud = CelsiusDiff(0.0);
}
let dt_el = dt0;
let delta_z_el = el0 - sfc_height;
let mib;
let pct_wet;
if let Some(mib0) = mib0.into_option() {
mib = mib0;
if let Some(dry_mib0) = dry_mib0.into_option() {
pct_wet = (mib0 - dry_mib0) / mib0;
} else {
pct_wet = 0.0;
}
} else {
mib = JpKg(0.0);
pct_wet = 0.0;
}
Some(BlowUpAnalysis {
starting_parcel,
delta_t_cloud: dt_cloud,
delta_t_el: dt_el,
delta_z_el,
mib,
pct_wet,
})
} else {
None
}
} else {
None
}
}
pub fn plume_heating_analysis(
snd: &Sounding,
moisture_ratio: Option<f64>,
) -> Result<PlumeHeatingAnalysis> {
let (starting_parcel, anal_iter) = plumes_heating_iter(snd, moisture_ratio)?;
let mut dts: Vec<CelsiusDiff> = vec![];
let mut max_int_buoyancies: Vec<Optioned<JpKg>> = vec![];
let mut wet_ratio: Vec<Optioned<f64>> = vec![];
let mut lcl_heights: Vec<Optioned<Meters>> = vec![];
let mut el_heights: Vec<Optioned<Meters>> = vec![];
let mut max_heights: Vec<Optioned<Meters>> = vec![];
anal_iter.for_each(|(dt, anal)| {
dts.push(dt);
max_int_buoyancies.push(anal.max_int_buoyancy);
let a_wet_ratio = anal.max_dry_int_buoyancy.and_then(|dry| {
anal.max_int_buoyancy.map_t(|total| {
if total > JpKg(0.0) {
(total - dry) / total
} else {
0.0
}
})
});
wet_ratio.push(a_wet_ratio);
lcl_heights.push(anal.lcl_height);
el_heights.push(anal.el_height);
max_heights.push(anal.max_height);
});
Ok(PlumeHeatingAnalysis {
starting_parcel,
dts,
max_int_buoyancies,
wet_ratio,
lcl_heights,
el_heights,
max_heights,
})
}
pub fn analyze_plume_parcel(parcel: Parcel, snd: &Sounding) -> Result<PlumeAscentAnalysis> {
let (parcel, lift_iter) = lift_parcel(parcel, snd)?;
Ok(analyze_plume_parcel_iter(parcel, lift_iter))
}
pub fn lift_plume_parcel(
parcel: Parcel,
snd: &Sounding,
) -> Result<(ParcelProfile, PlumeAscentAnalysis)> {
let (parcel, lift_iter) = lift_parcel(parcel, snd)?;
let len = snd.pressure_profile().len();
let mut pressure = Vec::with_capacity(len);
let mut height = Vec::with_capacity(len);
let mut parcel_t = Vec::with_capacity(len);
let mut environment_t = Vec::with_capacity(len);
let lift_iter = lift_iter
.scan(
(),
|_dummy, (int_buoyancy, dry_int_buoyancy, anal_level_type)| {
use crate::parcel_profile::lift::AnalLevelType::*;
match anal_level_type {
Normal(lvl) | LFC(lvl) | LCL(lvl) | EL(lvl) => {
let AnalLevel {
pressure: p,
height: h,
pcl_virt_t,
env_virt_t,
} = lvl;
pressure.push(p);
height.push(h);
parcel_t.push(pcl_virt_t);
environment_t.push(env_virt_t);
}
}
Some((int_buoyancy, dry_int_buoyancy, anal_level_type))
},
);
let plume_ascent_anal = analyze_plume_parcel_iter(parcel, lift_iter);
Ok((
ParcelProfile {
pressure,
height,
parcel_t,
environment_t,
},
plume_ascent_anal,
))
}
fn analyze_plume_parcel_iter(
parcel: Parcel,
iter: impl Iterator<Item = (f64, f64, AnalLevelType)>,
) -> PlumeAscentAnalysis {
let mut max_height: Optioned<Meters> = none();
let mut sfc_height = Meters(std::f64::MAX);
let (lcl_height, el_height, max_int_buoyancy, dry_net_buoyancy) = iter
.scan(
(0.0, Meters(0.0)),
|(prev_buoyancy, prev_height), (int_buoyancy, dry_int_buoyancy, anal_level_type)| {
use crate::parcel_profile::lift::AnalLevelType::*;
let height_val = match anal_level_type {
Normal(level) | LFC(level) | LCL(level) | EL(level) => level.height,
};
if *prev_buoyancy > 0.0 && int_buoyancy < 0.0 {
let mx_height =
linear_interp(0.0, *prev_buoyancy, int_buoyancy, *prev_height, height_val);
max_height = some(mx_height);
}
if sfc_height > height_val {
sfc_height = height_val;
}
*prev_buoyancy = int_buoyancy;
*prev_height = height_val;
Some((int_buoyancy, dry_int_buoyancy, anal_level_type))
},
)
.fold(
(none(), none(), 0.0f64, 0.0f64),
|acc, (int_buoyancy, dry_int_buoyancy, anal_level_type)| {
use crate::parcel_profile::lift::AnalLevelType::*;
let (mut lcl, mut el, mut max_buoyancy, mut dry_max_buoyancy) = acc;
let height = match anal_level_type {
Normal(level) | LFC(level) | EL(level) => level.height,
LCL(level) => {
lcl = some(level.height);
level.height
}
};
dry_max_buoyancy = dry_max_buoyancy.max(dry_int_buoyancy);
if int_buoyancy >= max_buoyancy {
max_buoyancy = int_buoyancy;
el = some(height);
}
(lcl, el, max_buoyancy, dry_max_buoyancy)
},
);
let (max_int_buoyancy, max_dry_int_buoyancy) = if el_height.is_some() {
(
some(JpKg(max_int_buoyancy / 2.0 * -metfor::g)),
some(JpKg(dry_net_buoyancy / 2.0 * -metfor::g)),
)
} else {
(none(), none())
};
let lcl_height =
if let (Some(mxh), Some(lcl)) = (max_height.into_option(), lcl_height.into_option()) {
if mxh > lcl {
some(lcl)
} else {
none()
}
} else {
lcl_height
};
if sfc_height > Meters(std::f64::MAX / 2.0) {
debug_assert!(
sfc_height > Meters(std::f64::MAX / 2.0),
"sfc_heigh never assigned."
);
sfc_height = Meters(0.0);
}
PlumeAscentAnalysis {
lcl_height,
el_height,
max_height,
max_int_buoyancy,
max_dry_int_buoyancy,
parcel,
sfc_height,
}
}
fn lift_parcel(
parcel: Parcel,
snd: &Sounding,
) -> Result<(Parcel, impl Iterator<Item = (f64, f64, AnalLevelType)> + '_)> {
let (pcl_lcl, _lcl_temperature) = parcel_lcl(&parcel, snd)?;
let (_parcel_start_data, parcel) = find_parcel_start_data(snd, &parcel)?;
let parcel_calc_t = create_parcel_calc_t(parcel, pcl_lcl)?;
let level_type_mapping = create_level_type_mapping(pcl_lcl);
let snd_pressure = snd.pressure_profile();
let hgt = snd.height_profile();
let env_t = snd.temperature_profile();
let env_dp = snd.dew_point_profile();
let p0 = parcel.pressure;
let theta0 = parcel.theta();
let iter = izip!(snd_pressure, hgt, env_t, env_dp)
.filter(|(p, h, t, dp)| p.is_some() && h.is_some() && t.is_some() && dp.is_some())
.map(|(p, h, t, dp)| (p.unpack(), h.unpack(), t.unpack(), dp.unpack()))
.filter(move |(p, _, _, _)| *p <= p0)
.filter_map(move |(p, h, env_t, env_dp)| {
parcel_calc_t(p).map(|pcl_virt_t| (p, h, env_t, env_dp, pcl_virt_t))
})
.filter_map(|(p, h, env_t, env_dp, pcl_virt_t)| {
metfor::virtual_temperature(env_t, env_dp, p)
.map(|env_vt| (p, h, Celsius::from(env_vt), pcl_virt_t))
})
.map(|(pressure, height, env_virt_t, pcl_virt_t)| AnalLevel {
pressure,
height,
pcl_virt_t,
env_virt_t,
})
.tuple_windows::<(_, _)>()
.flat_map(move |(lvl0, lvl1)| level_type_mapping(lvl0, lvl1))
.tuple_windows::<(_, _)>()
.scan(
(0.0, 0.0, 0.0),
move |(prev_int_buoyancy, int_buoyancy, dry_int_buoyancy),
(anal_level_type0, anal_level_type1)| {
use crate::parcel_profile::lift::AnalLevelType::*;
let level_data0: &AnalLevel = match &anal_level_type0 {
Normal(data) | LFC(data) | LCL(data) | EL(data) => data,
};
let level_data1: &AnalLevel = match &anal_level_type1 {
Normal(data) | LFC(data) | LCL(data) | EL(data) => data,
};
let &AnalLevel {
pressure: bottom_pres,
height: h0,
pcl_virt_t: pcl0,
env_virt_t: env0,
} = level_data0;
let &AnalLevel {
height: h1,
pcl_virt_t: pcl1,
env_virt_t: env1,
pressure: top_pres,
} = level_data1;
let dry_pcl0 = if bottom_pres > pcl_lcl.pressure {
Some(pcl0)
} else {
let pcl_dry_t = metfor::temperature_from_pot_temp(theta0, bottom_pres);
metfor::virtual_temperature(pcl_dry_t, pcl_dry_t, bottom_pres)
.map(Celsius::from)
};
let dry_pcl1 = if top_pres > pcl_lcl.pressure {
Some(pcl1)
} else {
let pcl_dry_t = metfor::temperature_from_pot_temp(theta0, top_pres);
metfor::virtual_temperature(pcl_dry_t, pcl_dry_t, bottom_pres)
.map(Celsius::from)
};
let Meters(dz) = h1 - h0;
debug_assert!(dz >= 0.0);
let b0 = (pcl0 - env0) / Kelvin::from(env0);
let b1 = (pcl1 - env1) / Kelvin::from(env1);
let buoyancy = (b0 + b1) * dz;
if let (Some(dry_pcl0), Some(dry_pcl1)) = (dry_pcl0, dry_pcl1) {
let db0 = (dry_pcl0 - env0) / Kelvin::from(env0);
let db1 = (dry_pcl1 - env1) / Kelvin::from(env1);
let dry_buoyancy = (db0 + db1) * dz;
*dry_int_buoyancy += dry_buoyancy;
}
*prev_int_buoyancy = *int_buoyancy;
*int_buoyancy += buoyancy;
*dry_int_buoyancy = dry_int_buoyancy.min(*int_buoyancy);
Some((
(
*prev_int_buoyancy,
*int_buoyancy,
*dry_int_buoyancy,
bottom_pres,
),
anal_level_type1,
))
},
)
.take_while(move |((prev_int_buoyancy, _, _, pres), _)| {
*prev_int_buoyancy >= 0.0 || *pres > p0 - HectoPascal(100.0)
})
.map(|((_, int_buoyancy, dry_int_buoyancy, _), anal_level)| {
(int_buoyancy, dry_int_buoyancy, anal_level)
});
Ok((parcel, iter))
}
fn plume_parcels(
snd: &Sounding,
min_dt: CelsiusDiff,
max_dt: CelsiusDiff,
increment: CelsiusDiff,
moisture_ratio: Option<f64>,
) -> Result<(Parcel, impl Iterator<Item = (CelsiusDiff, Parcel)>)> {
let parcel = mixed_layer_parcel(snd)?;
let (_row, parcel) = find_parcel_start_data(snd, &parcel)?;
let next_dt = min_dt - increment;
Ok((
parcel,
PlumeParcelIterator {
starting_pcl: parcel,
next_dt,
max_dt,
increment,
moisture_ratio,
},
))
}
struct PlumeParcelIterator {
starting_pcl: Parcel,
next_dt: CelsiusDiff,
max_dt: CelsiusDiff,
increment: CelsiusDiff,
moisture_ratio: Option<f64>,
}
impl Iterator for PlumeParcelIterator {
type Item = (CelsiusDiff, Parcel);
fn next(&mut self) -> Option<Self::Item> {
self.next_dt += self.increment;
if self.next_dt > self.max_dt {
None
} else {
Some((
self.next_dt,
create_plume_parcel_from(self.starting_pcl, self.next_dt, self.moisture_ratio),
))
}
}
}
pub fn create_plume_parcel_from(
environment_parcel: Parcel,
dt: CelsiusDiff,
moisture_ratio: Option<f64>,
) -> Parcel {
let next_t = environment_parcel.temperature + dt;
let next_td = if let Some(ratio) = moisture_ratio {
let mw =
metfor::specific_humidity(environment_parcel.dew_point, environment_parcel.pressure)
.expect("error creating specific humidity.");
let mw = mw + dt.unpack() / (1_000.0 * ratio);
metfor::dew_point_from_p_and_mw(environment_parcel.pressure, mw)
.expect("error creating dew point.")
} else {
environment_parcel.dew_point
};
Parcel {
temperature: next_t,
dew_point: next_td,
..environment_parcel
}
}