move from lib to euler

This commit is contained in:
Magnus Ulimoen 2020-01-28 19:31:14 +01:00
parent e40ca4ba47
commit 38e9797ff7
4 changed files with 120 additions and 113 deletions

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@ -1,14 +1,14 @@
use criterion::{black_box, criterion_group, criterion_main, Criterion}; use criterion::{black_box, criterion_group, criterion_main, Criterion};
use sbp::euler::System;
use sbp::operators::{SbpOperator, Upwind4, UpwindOperator, SBP4}; use sbp::operators::{SbpOperator, Upwind4, UpwindOperator, SBP4};
use sbp::EulerSystem;
fn advance_system<SBP: SbpOperator>(universe: &mut EulerSystem<SBP>, n: usize) { fn advance_system<SBP: SbpOperator>(universe: &mut System<SBP>, n: usize) {
for _ in 0..n { for _ in 0..n {
universe.advance(1.0 / 40.0 * 0.2); universe.advance(1.0 / 40.0 * 0.2);
} }
} }
fn advance_system_upwind<UO: UpwindOperator>(universe: &mut EulerSystem<UO>, n: usize) { fn advance_system_upwind<UO: UpwindOperator>(universe: &mut System<UO>, n: usize) {
for _ in 0..n { for _ in 0..n {
universe.advance_upwind(1.0 / 40.0 * 0.2); universe.advance_upwind(1.0 / 40.0 * 0.2);
} }
@ -25,26 +25,26 @@ fn performance_benchmark(c: &mut Criterion) {
let y = ndarray::Array1::linspace(-10.0, 10.0, h); let y = ndarray::Array1::linspace(-10.0, 10.0, h);
let y = y.broadcast((w, h)).unwrap().reversed_axes(); let y = y.broadcast((w, h)).unwrap().reversed_axes();
let mut universe = EulerSystem::<Upwind4>::new(x.into_owned(), y.into_owned()); let mut universe = System::<Upwind4>::new(x.into_owned(), y.into_owned());
group.bench_function("advance", |b| { group.bench_function("advance", |b| {
b.iter(|| { b.iter(|| {
universe.vortex(0.0, 0.0); universe.init_with_vortex(0.0, 0.0);
advance_system(&mut universe, black_box(20)) advance_system(&mut universe, black_box(20))
}) })
}); });
let mut universe = EulerSystem::<Upwind4>::new(x.into_owned(), y.into_owned()); let mut universe = System::<Upwind4>::new(x.into_owned(), y.into_owned());
group.bench_function("advance_upwind", |b| { group.bench_function("advance_upwind", |b| {
b.iter(|| { b.iter(|| {
universe.vortex(0.0, 0.0); universe.init_with_vortex(0.0, 0.0);
advance_system_upwind(&mut universe, black_box(20)) advance_system_upwind(&mut universe, black_box(20))
}) })
}); });
let mut universe = EulerSystem::<SBP4>::new(x.into_owned(), y.into_owned()); let mut universe = System::<SBP4>::new(x.into_owned(), y.into_owned());
group.bench_function("advance_trad4", |b| { group.bench_function("advance_trad4", |b| {
b.iter(|| { b.iter(|| {
universe.vortex(0.0, 0.0); universe.init_with_vortex(0.0, 0.0);
advance_system(&mut universe, black_box(20)) advance_system(&mut universe, black_box(20))
}) })
}); });

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@ -5,6 +5,106 @@ use ndarray::{azip, Zip};
pub const GAMMA: f32 = 1.4; pub const GAMMA: f32 = 1.4;
// A collection of buffers that allows one to efficiently
// move to the next state
pub struct System<SBP: SbpOperator> {
sys: (Field, Field),
wb: WorkBuffers,
grid: Grid<SBP>,
}
impl<SBP: SbpOperator> System<SBP> {
pub fn new(x: ndarray::Array2<f32>, y: ndarray::Array2<f32>) -> Self {
let grid = Grid::new(x, y).expect(
"Could not create grid. Different number of elements compared to width*height?",
);
let nx = grid.nx();
let ny = grid.ny();
Self {
sys: (Field::new(ny, nx), Field::new(ny, nx)),
grid,
wb: WorkBuffers::new(ny, nx),
}
}
pub fn advance(&mut self, dt: f32) {
advance(
RHS_trad,
&self.sys.0,
&mut self.sys.1,
dt,
&self.grid,
Some(&mut self.wb),
);
std::mem::swap(&mut self.sys.0, &mut self.sys.1);
}
pub fn init_with_vortex(&mut self, x0: f32, y0: f32) {
// Should parametrise such that we have radius, drop in pressure at center, etc
let rstar = 1.0;
let eps = 3.0;
#[allow(non_snake_case)]
let M = 0.5;
let p_inf = 1.0 / (GAMMA * M * M);
let t = 0.0;
let nx = self.grid.nx();
let ny = self.grid.ny();
for j in 0..ny {
for i in 0..nx {
let x = self.grid.x[(j, i)];
let y = self.grid.y[(j, i)];
let dx = (x - x0) - t;
let dy = y - y0;
let f = (1.0 - (dx * dx + dy * dy)) / (rstar * rstar);
use std::f32::consts::PI;
let u =
1.0 - eps * dy / (2.0 * PI * p_inf.sqrt() * rstar * rstar) * (f / 2.0).exp();
let v =
0.0 + eps * dx / (2.0 * PI * p_inf.sqrt() * rstar * rstar) * (f / 2.0).exp();
let rho = f32::powf(
1.0 - eps * eps * (GAMMA - 1.0) * M * M
/ (8.0 * PI * PI * p_inf * rstar * rstar)
* f.exp(),
1.0 / (GAMMA - 1.0),
);
assert!(rho > 0.0);
let p = p_inf * rho.powf(GAMMA);
assert!(p > 0.0);
let e = p / (GAMMA - 1.0) + rho * (u * u + v * v) / 2.0;
assert!(e > 0.0);
self.sys.0[(0, j, i)] = rho;
self.sys.0[(1, j, i)] = rho * u;
self.sys.0[(2, j, i)] = rho * v;
self.sys.0[(3, j, i)] = e;
}
}
}
pub fn field(&self) -> &Field {
&self.sys.0
}
}
impl<UO: UpwindOperator> System<UO> {
pub fn advance_upwind(&mut self, dt: f32) {
advance(
RHS_upwind,
&self.sys.0,
&mut self.sys.1,
dt,
&self.grid,
Some(&mut self.wb),
);
std::mem::swap(&mut self.sys.0, &mut self.sys.1);
}
}
#[derive(Clone, Debug)] #[derive(Clone, Debug)]
/// A 4 x ny x nx array /// A 4 x ny x nx array
pub struct Field(pub(crate) Array3<f32>); pub struct Field(pub(crate) Array3<f32>);

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@ -1,4 +1,6 @@
use ndarray::Array2; use ndarray::Array2;
#[derive(Debug, Clone)]
pub struct Grid<SBP> pub struct Grid<SBP>
where where
SBP: super::operators::SbpOperator, SBP: super::operators::SbpOperator,

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@ -1,6 +1,6 @@
use wasm_bindgen::prelude::*; use wasm_bindgen::prelude::*;
mod euler; pub mod euler;
mod grid; mod grid;
mod maxwell; mod maxwell;
pub mod operators; pub mod operators;
@ -121,18 +121,12 @@ fn gaussian(x: f32, x0: f32, y: f32, y0: f32) -> f32 {
1.0 / (2.0 * f32::consts::PI * sigma * sigma) * (-(x * x + y * y) / (2.0 * sigma * sigma)).exp() 1.0 / (2.0 * f32::consts::PI * sigma * sigma) * (-(x * x + y * y) / (2.0 * sigma * sigma)).exp()
} }
pub struct EulerSystem<SBP: operators::SbpOperator> {
sys: (euler::Field, euler::Field),
wb: euler::WorkBuffers,
grid: Grid<SBP>,
}
#[wasm_bindgen] #[wasm_bindgen]
pub struct EulerUniverse(EulerSystem<operators::Upwind4>); pub struct EulerUniverse(euler::System<operators::Upwind4>);
impl EulerUniverse { impl EulerUniverse {
pub fn new(x: ndarray::Array2<f32>, y: ndarray::Array2<f32>) -> Self { pub fn new(x: ndarray::Array2<f32>, y: ndarray::Array2<f32>) -> Self {
Self(EulerSystem::new(x, y)) Self(euler::System::new(x, y))
} }
} }
@ -142,11 +136,11 @@ impl EulerUniverse {
pub fn new_with_slice(height: usize, width: usize, x: &[f32], y: &[f32]) -> Self { pub fn new_with_slice(height: usize, width: usize, x: &[f32], y: &[f32]) -> Self {
let x = ndarray::Array2::from_shape_vec((height, width), x.to_vec()).unwrap(); let x = ndarray::Array2::from_shape_vec((height, width), x.to_vec()).unwrap();
let y = ndarray::Array2::from_shape_vec((height, width), y.to_vec()).unwrap(); let y = ndarray::Array2::from_shape_vec((height, width), y.to_vec()).unwrap();
Self(EulerSystem::new(x, y)) Self(euler::System::new(x, y))
} }
pub fn init(&mut self, x0: f32, y0: f32) { pub fn init(&mut self, x0: f32, y0: f32) {
self.0.vortex(x0, y0) self.0.init_with_vortex(x0, y0)
} }
pub fn advance(&mut self, dt: f32) { pub fn advance(&mut self, dt: f32) {
@ -158,105 +152,16 @@ impl EulerUniverse {
} }
pub fn get_rho_ptr(&self) -> *const u8 { pub fn get_rho_ptr(&self) -> *const u8 {
self.0.sys.0.rho().as_ptr() as *const u8 self.0.field().rho().as_ptr() as *const u8
} }
pub fn get_rhou_ptr(&self) -> *const u8 { pub fn get_rhou_ptr(&self) -> *const u8 {
self.0.sys.0.rhou().as_ptr() as *const u8 self.0.field().rhou().as_ptr() as *const u8
} }
pub fn get_rhov_ptr(&self) -> *const u8 { pub fn get_rhov_ptr(&self) -> *const u8 {
self.0.sys.0.rhov().as_ptr() as *const u8 self.0.field().rhov().as_ptr() as *const u8
} }
pub fn get_e_ptr(&self) -> *const u8 { pub fn get_e_ptr(&self) -> *const u8 {
self.0.sys.0.e().as_ptr() as *const u8 self.0.field().e().as_ptr() as *const u8
}
}
impl<SBP: operators::SbpOperator> EulerSystem<SBP> {
pub fn new(x: ndarray::Array2<f32>, y: ndarray::Array2<f32>) -> Self {
let grid = Grid::new(x, y).expect(
"Could not create grid. Different number of elements compared to width*height?",
);
let nx = grid.nx();
let ny = grid.ny();
Self {
sys: (euler::Field::new(ny, nx), euler::Field::new(ny, nx)),
grid,
wb: euler::WorkBuffers::new(ny, nx),
}
}
pub fn advance(&mut self, dt: f32) {
euler::advance(
euler::RHS_trad,
&self.sys.0,
&mut self.sys.1,
dt,
&self.grid,
Some(&mut self.wb),
);
std::mem::swap(&mut self.sys.0, &mut self.sys.1);
}
pub fn vortex(&mut self, x0: f32, y0: f32) {
// Should parametrise such that we have radius, drop in pressure at center, etc
let rstar = 1.0;
let eps = 3.0;
#[allow(non_snake_case)]
let M = 0.5;
let p_inf = 1.0 / (euler::GAMMA * M * M);
let t = 0.0;
let nx = self.grid.nx();
let ny = self.grid.ny();
for j in 0..ny {
for i in 0..nx {
let x = self.grid.x[(j, i)];
let y = self.grid.y[(j, i)];
let dx = (x - x0) - t;
let dy = y - y0;
let f = (1.0 - (dx * dx + dy * dy)) / (rstar * rstar);
use euler::GAMMA;
use std::f32::consts::PI;
let u =
1.0 - eps * dy / (2.0 * PI * p_inf.sqrt() * rstar * rstar) * (f / 2.0).exp();
let v =
0.0 + eps * dx / (2.0 * PI * p_inf.sqrt() * rstar * rstar) * (f / 2.0).exp();
let rho = f32::powf(
1.0 - eps * eps * (GAMMA - 1.0) * M * M
/ (8.0 * PI * PI * p_inf * rstar * rstar)
* f.exp(),
1.0 / (GAMMA - 1.0),
);
assert!(rho > 0.0);
let p = p_inf * rho.powf(GAMMA);
assert!(p > 0.0);
let e = p / (GAMMA - 1.0) + rho * (u * u + v * v) / 2.0;
assert!(e > 0.0);
self.sys.0[(0, j, i)] = rho;
self.sys.0[(1, j, i)] = rho * u;
self.sys.0[(2, j, i)] = rho * v;
self.sys.0[(3, j, i)] = e;
}
}
}
}
impl<SBP: operators::UpwindOperator> EulerSystem<SBP> {
pub fn advance_upwind(&mut self, dt: f32) {
euler::advance(
euler::RHS_upwind,
&self.sys.0,
&mut self.sys.1,
dt,
&self.grid,
Some(&mut self.wb),
);
std::mem::swap(&mut self.sys.0, &mut self.sys.1);
} }
} }