Add ns sod example

example/gas/sod_ns.jl

@@ -0,0 +1,56 @@
+using KitBase, Plots
+using KitBase.ProgressMeter: @showprogress
+
+set = Setup(
+    case = "sod",
+    space = "1d0f0v",
+    flux = "gks",
+    limiter = "minmod",
+    cfl = 0.3,
+    maxTime = 0.1,
+)
+ps = PSpace1D(0.0, 1.0, 100, 1)
+vs = nothing
+gas = Gas(Kn = 1e-4, K = 2.0, γ = 5 / 3)
+fw, bc, p = KB.config_ib(set, ps, vs, gas)
+ib = IB(fw, bc, p)
+
+ks = SolverSet(set, ps, vs, gas, ib)
+ctr, face = init_fvm(ks)
+
+t = 0.0
+dt = KB.timestep(ks, ctr, t)
+nt = ks.set.maxTime ÷ dt |> Int
+res = zeros(3)
+
+@showprogress for iter = 1:nt
+    reconstruct!(ks, ctr)
+    evolve!(ks, ctr, face, dt)
+    update!(ks, ctr, face, dt, res)
+end
+
+plot(ks, ctr)
+
+# low-level gks navier-stokes flux
+@showprogress for iter = 1:nt
+    reconstruct!(ks, ctr)
+    for i = 1:ps.nx+1
+        flux_gks!(
+            face[i].fw,
+            ctr[i-1].w .+ ps.dx[i-1] / 2 .* ctr[i-1].sw,
+            ctr[i].w .- ps.dx[i] / 2 .* ctr[i].sw,
+            gas.K,
+            gas.γ,
+            gas.μᵣ,
+            gas.ω,
+            dt,
+            ps.dx[i-1] / 2,
+            ps.dx[i] / 2,
+            ctr[i-1].sw,
+            ctr[i].sw,
+        )
+    end
+    update!(ks, ctr, face, dt, res)
+end
+
+plot(ks, ctr)