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allow several vortices

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This commit is contained in:
Magnus Ulimoen
2020-04-22 23:59:06 +02:00
parent d60770dcbf
commit db6f7ef41f
4 changed files with 79 additions and 45 deletions
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95
sbp/src/euler.rs
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@@ -3,6 +3,7 @@ use super::integrate;
use super::operators::{InterpolationOperator, SbpOperator2d, UpwindOperator2d};
use super::utils::Direction;
use super::Float;
pub use arrayvec::ArrayVec;
use ndarray::azip;
use ndarray::prelude::*;
@@ -70,23 +71,29 @@ impl<SBP: SbpOperator2d> System<SBP> {
pub fn vortex(&mut self, t: Float, vortex_parameters: VortexParameters) {
self.sys
.0
.vortex(self.grid.0.x(), self.grid.0.y(), t, vortex_parameters);
.vortex(self.grid.0.x(), self.grid.0.y(), t, &vortex_parameters);
}
#[allow(clippy::many_single_char_names)]
pub fn init_with_vortex(&mut self, x0: Float, y0: Float) {
// Should parametrise such that we have radius, drop in pressure at center, etc
let vortex_parameters = VortexParameters {
x0,
y0,
rstar: 1.0,
eps: 3.0,
vortices: {
let mut v = ArrayVec::new();
v.push(Vortice {
x0,
y0,
rstar: 1.0,
eps: 3.0,
});
v
},
mach: 0.5,
};
self.sys
.0
.vortex(self.grid.0.x(), self.grid.0.y(), 0.0, vortex_parameters)
.vortex(self.grid.0.x(), self.grid.0.y(), 0.0, &vortex_parameters)
}
pub fn field(&self) -> &Field {
@@ -297,7 +304,7 @@ impl Field {
x: ArrayView2<Float>,
y: ArrayView2<Float>,
time: Float,
vortex_param: VortexParameters,
vortex_param: &VortexParameters,
) {
assert_eq!(x.shape(), y.shape());
assert_eq!(x.shape()[1], self.nx());
@@ -314,7 +321,7 @@ impl Field {
x.into_shape((n,)).unwrap(),
y.into_shape((n,)).unwrap(),
time,
vortex_param,
&vortex_param,
)
}
}
@@ -395,11 +402,16 @@ fn h2_diff() {
}
#[derive(Copy, Clone, Debug)]
pub struct VortexParameters {
pub struct Vortice {
pub x0: Float,
pub y0: Float,
pub rstar: Float,
pub eps: Float,
}
#[derive(Clone, Debug)]
pub struct VortexParameters {
pub vortices: ArrayVec<[Vortice; 5]>,
pub mach: Float,
}
@@ -412,7 +424,7 @@ pub fn vortex(
x: ArrayView1<Float>,
y: ArrayView1<Float>,
time: Float,
vortex_param: VortexParameters,
vortex_param: &VortexParameters,
) {
assert_eq!(rho.len(), rhou.len());
assert_eq!(rho.len(), rhov.len());
@@ -421,10 +433,14 @@ pub fn vortex(
assert_eq!(rho.len(), y.len());
assert_eq!(x.shape(), y.shape());
let eps = vortex_param.eps;
let m = vortex_param.mach;
let rstar = vortex_param.rstar;
let p_inf = 1.0 / (GAMMA * m * m);
let rho_inf: Float = 1.0;
let u_inf: Float = 1.0;
let v_inf: Float = 0.0;
let e_inf = p_inf / (GAMMA - 1.0) + rho_inf * (u_inf.powi(2) + v_inf.powi(2)) / 2.0;
azip!((rho in rho,
rhou in rhou,
rhov in rhov,
@@ -432,21 +448,36 @@ pub fn vortex(
x in x,
y in y)
{
use crate::consts::PI;
let dx = (x - vortex_param.x0) - time;
let dy = y - vortex_param.y0;
let f = (1.0 - (dx*dx + dy*dy))/(rstar*rstar);
*rho = rho_inf;
*rhou = rho_inf*u_inf;
*rhou = rho_inf*v_inf;
*e = e_inf;
*rho = Float::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 = Float::powf(*rho, GAMMA)*p_inf;
assert!(p > 0.0);
let u = 1.0 - eps*dy/(2.0*PI*p_inf.sqrt()*rstar*rstar)*(f/2.0).exp();
let v = eps*dx/(2.0*PI*p_inf.sqrt()*rstar*rstar)*(f/2.0).exp();
*rhou = *rho*u;
*rhov = *rho*v;
*e = p/(GAMMA - 1.0) + *rho*(u*u + v*v)/2.0;
for vortice in vortex_param.vortices.iter() {
use crate::consts::PI;
let rstar = vortice.rstar;
let eps = vortice.eps;
let dx = (x - vortice.x0) - time;
let dy = y - vortice.y0;
let f = (1.0 - (dx*dx + dy*dy))/(rstar*rstar);
let rho_vortice = Float::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));
let p = Float::powf(rho_vortice, GAMMA)*p_inf;
let u = 1.0 - eps*dy/(2.0*PI*p_inf.sqrt()*rstar*rstar)*(f/2.0).exp();
let v = eps*dx/(2.0*PI*p_inf.sqrt()*rstar*rstar)*(f/2.0).exp();
assert!(rho_vortice > 0.0);
assert!(p > 0.0);
*rho += rho_vortice - rho_inf;
assert!(*rho > 0.0);
*rhou += rho_vortice*u - rho_inf*u_inf;
*rhov += rho_vortice*v - rho_inf*v_inf;
*e += (p/(GAMMA - 1.0) + rho_vortice*(u*u + v*v)/2.0) - e_inf;
}
});
}
@@ -663,28 +694,28 @@ fn boundary_extractor<'a>(
bc: &BoundaryCharacteristics,
) -> BoundaryTerms<'a> {
BoundaryTerms {
north: match bc.north {
north: match &bc.north {
BoundaryCharacteristic::This => field.south(),
BoundaryCharacteristic::Vortex(_params) => todo!(),
BoundaryCharacteristic::Grid(_)
| BoundaryCharacteristic::Interpolate(_, _)
| BoundaryCharacteristic::MultiGrid(_) => panic!("Only working on self grid"),
},
south: match bc.south {
south: match &bc.south {
BoundaryCharacteristic::This => field.north(),
BoundaryCharacteristic::Vortex(_params) => todo!(),
BoundaryCharacteristic::Grid(_)
| BoundaryCharacteristic::Interpolate(_, _)
| BoundaryCharacteristic::MultiGrid(_) => panic!("Only working on self grid"),
},
west: match bc.west {
west: match &bc.west {
BoundaryCharacteristic::This => field.east(),
BoundaryCharacteristic::Vortex(_params) => todo!(),
BoundaryCharacteristic::Grid(_)
| BoundaryCharacteristic::Interpolate(_, _)
| BoundaryCharacteristic::MultiGrid(_) => panic!("Only working on self grid"),
},
east: match bc.east {
east: match &bc.east {
BoundaryCharacteristic::This => field.west(),
BoundaryCharacteristic::Vortex(_params) => todo!(),
BoundaryCharacteristic::Grid(_)
@@ -708,7 +739,7 @@ fn boundary_extract<'a>(
BoundaryCharacteristic::Grid(g) => seldir(&fields[*g]),
BoundaryCharacteristic::Vortex(v) => {
let field = eb.unwrap();
vortexify(field.view_mut(), grid, *v, time);
vortexify(field.view_mut(), grid, v, time);
field.view()
}
BoundaryCharacteristic::Interpolate(g, operator) => {
@@ -854,7 +885,7 @@ impl BoundaryStorage {
fn vortexify(
mut field: ndarray::ArrayViewMut2<Float>,
yx: (ndarray::ArrayView1<Float>, ndarray::ArrayView1<Float>),
vparams: VortexParameters,
vparams: &VortexParameters,
time: Float,
) {
let mut fiter = field.outer_iter_mut();
@@ -865,7 +896,7 @@ fn vortexify(
fiter.next().unwrap(),
);
let (y, x) = yx;
vortex(rho, rhou, rhov, e, x, y, time, vparams);
vortex(rho, rhou, rhov, e, x, y, time, &vparams);
}
#[allow(non_snake_case)]