use super::{diff_op_row, SbpOperator1d, SbpOperator2d, UpwindOperator1d, UpwindOperator2d}; use crate::Float; use ndarray::{ArrayView1, ArrayView2, ArrayViewMut1, ArrayViewMut2}; #[derive(Debug, Copy, Clone)] pub struct Upwind4h2; impl Upwind4h2 { #[rustfmt::skip] const HBLOCK: &'static [Float] = &[ 0.91e2/0.720e3, 0.325e3/0.384e3, 0.595e3/0.576e3, 0.1909e4/0.1920e4, ]; #[rustfmt::skip] const DIAG: &'static [Float] = &[ -1.43229166666667e-02, 1.40625000000000e-01, -7.38281250000000e-01, 0.00000000000000e+00, 7.38281250000000e-01, -1.40625000000000e-01, 1.43229166666667e-02 ]; #[rustfmt::skip] const BLOCK: &'static [&'static [Float]] = &[ &[-3.95604395604396e+00, 5.41758241758242e+00, -1.94505494505495e+00, 4.83516483516484e-01, 0.00000000000000e+00, 0.00000000000000e+00, 0.00000000000000e+00], &[-8.09025641025641e-01, 0.00000000000000e+00, 1.03948717948718e+00, -2.47384615384615e-01, 1.69230769230769e-02, 0.00000000000000e+00, 0.00000000000000e+00], &[2.37983193277311e-01, -8.51680672268908e-01, 0.00000000000000e+00, 7.35966386554622e-01, -1.36134453781513e-01, 1.38655462184874e-02, 0.00000000000000e+00], &[-6.14632442814737e-02, 2.10581456259822e-01, -7.64623712240265e-01, 0.00000000000000e+00, 7.42535358826611e-01, -1.41435306443164e-01, 1.44054478784704e-02], ]; #[rustfmt::skip] const DISS_BLOCK: &'static [&'static [Float]] = &[ &[-2.76989342315976e-01, 5.19355016842454e-01, -3.46236677894969e-01, 1.03871003368491e-01, 0.00000000000000e+00, 0.00000000000000e+00, 0.00000000000000e+00], &[7.75570158484731e-02, -1.62342481638964e-01, 1.47715500579822e-01, -7.98531117124082e-02, 1.69230769230769e-02, 0.00000000000000e+00, 0.00000000000000e+00], &[-4.23630758836198e-02, 1.21027405937249e-01, -1.91609307039399e-01, 1.82272708078206e-01, -8.31932773109244e-02, 1.38655462184874e-02, 0.00000000000000e+00], &[1.32037874021759e-02, -6.79734450144910e-02, 1.89370108794365e-01, -2.78654929966754e-01, 2.16081718177056e-01, -8.64326872708224e-02, 1.44054478784704e-02], ]; #[rustfmt::skip] const DISS_DIAG: &'static [Float; 7] = &[ 1.43229166666667e-02, -8.59375000000000e-02, 2.14843750000000e-01, -2.86458333333333e-01, 2.14843750000000e-01, -8.59375000000000e-02, 1.43229166666667e-02, ]; } impl SbpOperator1d for Upwind4h2 { fn diff(&self, prev: ArrayView1, fut: ArrayViewMut1) { super::diff_op_1d(Self::BLOCK, Self::DIAG, false, true, prev, fut) } fn h(&self) -> &'static [Float] { Self::HBLOCK } fn is_h2(&self) -> bool { true } } impl SbpOperator2d for (&SBP, &Upwind4h2) { fn diffxi(&self, prev: ArrayView2, mut fut: ArrayViewMut2) { assert_eq!(prev.shape(), fut.shape()); assert!(prev.shape()[1] >= 2 * Upwind4h2::BLOCK.len()); match (prev.strides(), fut.strides()) { ([_, 1], [_, 1]) => { diff_op_row(Upwind4h2::BLOCK, Upwind4h2::DIAG, false, true, prev, fut); } ([_, _], [_, _]) => { // Fallback, work row by row for (r0, r1) in prev.outer_iter().zip(fut.outer_iter_mut()) { Upwind4h2.diff(r0, r1); } } _ => unreachable!("Should only be two elements in the strides vectors"), } } } impl UpwindOperator2d for (&UO, &Upwind4h2) { fn dissxi(&self, prev: ArrayView2, mut fut: ArrayViewMut2) { assert_eq!(prev.shape(), fut.shape()); assert!(prev.shape()[1] >= 2 * Upwind4h2::BLOCK.len()); match (prev.strides(), fut.strides()) { ([_, 1], [_, 1]) => { diff_op_row( Upwind4h2::DISS_BLOCK, Upwind4h2::DISS_DIAG, true, true, prev, fut, ); } ([_, _], [_, _]) => { // Fallback, work row by row for (r0, r1) in prev.outer_iter().zip(fut.outer_iter_mut()) { Upwind4h2.diss(r0, r1); } } _ => unreachable!("Should only be two elements in the strides vectors"), } } } #[test] fn upwind4h2_test() { let nx = 20; let x = crate::utils::h2linspace(0.0, 1.0, nx); let mut res = ndarray::Array1::zeros(nx); Upwind4h2.diff(x.view(), res.view_mut()); let ans = &x * 0.0 + 1.0; approx::assert_abs_diff_eq!(&res, &ans, epsilon = 1e-4); res.fill(0.0); let y = &x * &x / 2.0; Upwind4h2.diff(y.view(), res.view_mut()); let ans = &x; approx::assert_abs_diff_eq!(&res, &ans, epsilon = 1e-4); res.fill(0.0); let y = &x * &x * &x / 3.0; Upwind4h2.diff(y.view(), res.view_mut()); let ans = &x * &x; approx::assert_abs_diff_eq!(&res, &ans, epsilon = 1e-2); } impl UpwindOperator1d for Upwind4h2 { fn diss(&self, prev: ArrayView1, fut: ArrayViewMut1) { super::diff_op_1d(Self::DISS_BLOCK, Self::DISS_DIAG, true, true, prev, fut) } fn as_sbp(&self) -> &dyn SbpOperator1d { self } }