Add step_1 of navier stokes

12_steps_to_navier_stokes/src/lib.rs

@@ -0,0 +1,35 @@
+use crate::{
+    step_1::{Step1Config, one_dim_solver},
+    utils::plot_vectors,
+};
+
+mod step_1;
+mod utils;
+
+pub fn run_example_step1() {
+    let u0 = vec![
+        1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0,
+        2.0, 2.0, 2.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0,
+        1.0, 1.0, 1.0, 1.0, 1.0,
+    ];
+    let nx = 41.0;
+    let dx = 2.0 / (nx - 1.0);
+    let dt = 0.025;
+    let c = 1.0;
+
+    let config = Step1Config {
+        c,
+        dt,
+        dx,
+        u0,
+        timesteps: 25,
+    };
+    let uss = one_dim_solver(config);
+
+    plot_vectors(
+        &[uss[0].clone(), uss[12].clone(), uss[25].clone()],
+        Some(&["i=0", "i=12", "i=25"]),
+        "/Users/aselimov/repos/cfd_playground/12_steps_to_navier_stokes/plots/step1.svg",
+    )
+    .unwrap();
+}