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>

.agent/skills/bmad-dev-auto/spec-template.md

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+---
+title: '{title}'
+type: 'feature' # feature | bugfix | refactor | chore
+created: '{date}'
+status: 'draft' # draft | ready-for-dev | in-progress | in-review | done | blocked
+review_loop_iteration: 0 # incremented by step-04 before each review loopback
+followup_review_recommended: false # set by step-04 on status: done from the final review pass significance judgment
+context: [] # optional: `{project-root}/`-prefixed paths to project-wide standards/docs the implementation agent should load. Keep short — only what isn't already distilled into the spec body.
+warnings: [] # optional: machine-readable warnings for orchestration, e.g. oversized, multiple-goals
+---
+
+<!-- Aim for 900–1600 tokens. If larger, add `oversized` to frontmatter `warnings` and continue.
+     Never over-specify "how" — use boundaries + examples instead.
+     Cohesive cross-layer stories (DB+BE+UI) stay in ONE file.
+     IMPORTANT: Remove all HTML comments when filling this template. -->
+
+<intent-contract>
+
+## Intent
+
+<!-- What is broken or missing, and why it matters. Then the high-level approach — the "what", not the "how". -->
+
+**Problem:** ONE_TO_TWO_SENTENCES
+
+**Approach:** ONE_TO_TWO_SENTENCES
+
+## Boundaries & Constraints
+
+<!-- Three tiers: Always = invariant rules. Block If = decisions that cannot be made unattended. Never = out of scope + forbidden approaches. -->
+
+**Always:** INVARIANT_RULES
+
+**Block If:** DECISIONS_REQUIRING_HUMAN_INPUT
+<!-- Agent: if any of these trigger during execution, HALT with status blocked and the blocking condition. -->
+
+**Never:** NON_GOALS_AND_FORBIDDEN_APPROACHES
+
+## I/O & Edge-Case Matrix
+
+<!-- If no meaningful I/O scenarios exist, DELETE THIS ENTIRE SECTION. Do not write "N/A" or "None". -->
+
+| Scenario | Input / State | Expected Output / Behavior | Error Handling |
+|----------|--------------|---------------------------|----------------|
+| HAPPY_PATH | INPUT | OUTCOME | No error expected |
+| ERROR_CASE | INPUT | OUTCOME | ERROR_HANDLING |
+
+</intent-contract>
+
+## Code Map
+
+<!-- Agent-populated during planning. Annotated paths prevent blind codebase searching. -->
+
+- `FILE` -- ROLE_OR_RELEVANCE
+- `FILE` -- ROLE_OR_RELEVANCE
+
+## Tasks & Acceptance
+
+<!-- Tasks: backtick-quoted file path -- action -- rationale. Prefer one task per file; group tightly-coupled changes when splitting would be artificial. -->
+<!-- If an I/O Matrix is present, include a task to unit-test its edge cases. -->
+<!-- AC covers system-level behaviors not captured by the I/O Matrix. Do not duplicate I/O scenarios here. -->
+
+**Execution:**
+- [ ] `FILE` -- ACTION -- RATIONALE
+
+**Acceptance Criteria:**
+- Given PRECONDITION, when ACTION, then EXPECTED_RESULT
+
+## Spec Change Log
+
+<!-- Append-only. Populated by step-04 during review loops. Do not modify or delete existing entries.
+     Each entry records: what finding triggered the change, what was amended, what known-bad state
+     the amendment avoids, and any KEEP instructions (what worked well and must survive re-derivation).
+     Empty until the first bad_spec loopback. -->
+
+## Review Triage Log
+
+<!-- Append-only. Populated by step-04 on EVERY review pass, including loopbacks and blocked exits.
+     Each entry records triage decision counts for intent_gap, bad_spec, patch, defer, and reject,
+     with per-category severity breakdowns using low/medium/high, plus the findings addressed in
+     that pass. Empty until the first review pass. -->
+
+## Design Notes
+
+<!-- If the approach is straightforward, DELETE THIS ENTIRE SECTION. Do not write "N/A" or "None". -->
+<!-- Design rationale and golden examples only when non-obvious. Keep examples to 5–10 lines. -->
+
+DESIGN_RATIONALE_AND_EXAMPLES
+
+## Verification
+
+<!-- If no build, test, or lint commands apply, DELETE THIS ENTIRE SECTION. Do not write "N/A" or "None". -->
+<!-- How the agent confirms its own work. Prefer CLI commands. When no CLI check applies, state what to inspect manually. -->
+
+**Commands:**
+- `COMMAND` -- expected: SUCCESS_CRITERIA
+
+**Manual checks (if no CLI):**
+- WHAT_TO_INSPECT_AND_EXPECTED_STATE