convergence test

sbp/tests/convergence.rs

@@ -0,0 +1,53 @@
+use ndarray::prelude::*;
+use sbp::euler::*;
+
+fn run_with_size<SBP: sbp::operators::UpwindOperator>(size: usize) -> f32 {
+    let nx = 4 * size;
+    let ny = 4 * size;
+    let x = Array1::linspace(-5.0, 5.0, nx);
+    let y = Array1::linspace(-5.0, 5.0, ny);
+
+    let x = x.broadcast((ny, nx)).unwrap().to_owned();
+    let y = y
+        .reversed_axes()
+        .broadcast((nx, ny))
+        .unwrap()
+        .reversed_axes()
+        .to_owned();
+
+    let vortex_params = VortexParameters {
+        x0: -1.0,
+        y0: 0.0,
+        mach: 0.5,
+        rstar: 0.5,
+        eps: 1.0,
+    };
+
+    let mut sys = System::<SBP>::new(x, y);
+    sys.vortex(0.0, vortex_params);
+
+    let time = 0.1;
+    let dt = 0.2 * f32::min(1.0 / (nx - 1) as f32, 1.0 / (ny - 1) as f32);
+
+    let nsteps = (time / dt) as usize;
+    for _ in 0..nsteps {
+        sys.advance_upwind(dt);
+    }
+
+    let mut verifield = Field::new(ny, nx);
+    verifield.vortex(sys.x(), sys.y(), nsteps as f32 * dt, vortex_params);
+
+    verifield.err_diff::<SBP>(sys.field())
+}
+
+#[test]
+fn test() {
+    let sizes = [25, 35, 50, 71, 100];
+    let mut errs = Vec::with_capacity(sizes.len());
+    for size in &sizes {
+        println!("Size: {}", size);
+        let e = run_with_size::<sbp::operators::Upwind9>(*size);
+        errs.push(e);
+    }
+    panic!("{:?}", errs);
+}