Snapshot WIP: solver HP epic progress, BPHX/HX physics, BMAD skill refresh.

Capture uncommitted solver robustness work (regularization, domain errors, linear solver lifecycle, tube DP/MSH), web workbench updates, and synced BMAD skills across IDE agent folders before starting BPHX pressure-drop.

Co-authored-by: Cursor <cursoragent@cursor.com>

apps/web/public/examples/capillary_tube_r134a.json

@@ -1,12 +1,23 @@
 {
-  "schema_version": "1.0",
+  "schema_version": "1",
+  "name": "Capillary Tube R134a Smoke",
+  "description": "WIP smoke fixture: RefrigerantSource → CapillaryTube → RefrigerantSink. DoF can square, but CapillaryTube Component residuals are still stubs (mass/enthalpy continuity only — no frictional ΔP residual), so the Newton Jacobian is singular. Kept for parsing/wiring tests; not yet a UI Load example.",
+
   "fluid": "R134a",
   "fluid_backend": "CoolProp",
+
   "circuits": [
     {
       "id": 0,
       "name": "Capillary smoke",
       "components": [
+        {
+          "type": "RefrigerantSource",
+          "name": "src",
+          "fluid": "R134a",
+          "p_set_bar": 12.0,
+          "quality": 0.0
+        },
         {
           "type": "CapillaryTube",
           "name": "cap",
@@ -17,11 +28,21 @@
           "h_inlet_kj_kg": 250.0,
           "p_outlet_bar": 3.5,
           "h_outlet_kj_kg": 250.0
+        },
+        {
+          "type": "RefrigerantSink",
+          "name": "sink",
+          "fluid": "R134a",
+          "p_back_bar": 3.5
         }
       ],
-      "edges": []
+      "edges": [
+        { "from": "src:outlet", "to": "cap:inlet" },
+        { "from": "cap:outlet", "to": "sink:inlet" }
+      ]
     }
   ],
+
   "solver": {
     "strategy": "newton",
     "max_iterations": 50,