Entropyk/_bmad-output/implementation-artifacts/3-5-zero-flow-branch-handling.md

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Story 3.5: Zero-Flow Branch Handling

Status: done

Story

As a simulation user, I want zero-flow handling with regularization, so that OFF components don't cause numerical instabilities.

Acceptance Criteria

  1. No Division-by-Zero (AC: #1)

    • Given a branch with mass flow = 0 (e.g. component in Off state)
    • When computing residuals
    • Then no division-by-zero occurs anywhere in component or solver code
    • And all expressions that divide by mass flow (or by quantities derived from it) use regularization
  2. Regularization Applied (AC: #2)

    • Given expressions of the form f(ṁ) where ṁ appears in denominator (e.g. Q/ṁ, ΔP/ṁ², Re = ρvD/μ with v∝ṁ)
    • When ṁ is near or equal to zero
    • Then a small epsilon (ε) is used in denominators (e.g. ṁ_eff = max(ṁ, ε) or 1/(ṁ + ε) with ε documented)
    • And ε is chosen to avoid NaN/Inf while preserving solver convergence (e.g. 1e-12 kg/s or project constant)
  3. Pressure Continuity When OFF (AC: #3)

    • Given a component in Off state (zero mass flow)
    • When assembling residuals and Jacobian
    • Then the branch produces consistent residuals (for Pipe: ṁ = 0 which blocks flow; for other components may use P_in = P_out where appropriate)
    • And residual/Jacobian remain consistent (no singular rows/columns)
    • Note: "Pressure continuity" in the original spec was misleading. For a Pipe, Off means blocked (ṁ = 0), not P_in = P_out. P_in = P_out would be BYPASS mode.
  4. Well-Conditioned Jacobian (AC: #4)

    • Given a system with one or more zero-flow branches
    • When the Jacobian is assembled
    • Then the Jacobian remains well-conditioned (no zero rows, no degenerate columns from 0/0)
    • And regularization does not introduce spurious convergence or destroy physical meaning

Tasks / Subtasks

  • Define zero-flow regularization constant (AC: #1, #2)
    • Add MIN_MASS_FLOW_REGULARIZATION (e.g. 1e-12 kg/s) in a single place (core or solver)
    • Document when to use: any division by mass flow or by Re/capacity-rate derived from ṁ
    • Use MassFlow::max(self, MIN) or equivalent in components that divide by ṁ
  • Audit and fix component residual/Jacobian for zero flow (AC: #1, #2)
    • Pipe: ensure Re and friction factor never divide by zero (already has reynolds.max(1.0) in simplified; extend to Haaland/Swamee-Jain if needed)
    • Heat exchangers: ε-NTU and LMTD already use c_min < 1e-10 and dt guards; confirm all paths and document ε
    • Compressor, expansion valve, pump, fan: already set ṁ residual to 0 when Off; ensure no other division by ṁ in same component
    • Any formula Q/ṁ or ΔP/ṁ²: use regularized denominator
  • Pressure continuity for OFF branches (AC: #3)
    • When component is Off, residual for that branch: use P_in - P_out = 0 (and h continuity if needed) instead of flow equation
    • Ensure state vector and equation ordering support this (solver/system already use component.compute_residuals; components already return different residuals for Off)
    • Document in solver or component trait how Off is communicated (state machine / OperationalState)
  • Jacobian consistency for zero-flow (AC: #4)
    • Components that switch to pressure-continuity when Off must provide correct Jacobian entries (∂(P_in - P_out)/∂P_in, ∂/∂P_out)
    • No zero rows: every equation must depend on state; use regularization so derivatives exist
    • Add unit test: system with one branch Off, solve or one Newton step, no NaN/Inf in residuals or Jacobian
  • Tests
    • Test: single branch with ṁ = 0, residuals computed without panic, no NaN/Inf
    • Test: Jacobian assembled for system with one Off component, no zero row, finite entries
    • Test: regularization constant used in at least one component (e.g. Pipe or heat exchanger) and documented
    • Test: small non-zero ṁ (e.g. 1e-10) vs regular ṁ produces consistent behavior (no discontinuity at 0)

Dev Notes

Epic Context

Epic 3: System Topology (Graph) — Enable component assembly via Ports and manage multi-circuits with thermal coupling. FR13 (zero-flow branch handling) maps to crates/solver and crates/components.

Story Dependencies:

  • Story 3.1 (System graph structure) — done
  • Story 3.2 (Port compatibility validation) — done
  • Story 3.3 (Multi-circuit machine definition) — done
  • Story 3.4 (Thermal coupling) — done
  • Epic 1 (Component trait, state machine OFF/BYPASS) — done; components already implement Off with zero mass flow residual

Architecture Context

Technical Stack:

  • Rust, entropyk-core (MassFlow, Pressure, NewType), entropyk-components (Component, state machine), entropyk-solver (residual/Jacobian assembly)
  • No new external crates; use existing constants and types

Code Structure:

  • crates/core/src/types.rs or crates/solver — single constant for MIN_MASS_FLOW_REGULARIZATION (or MIN_REYNOLDS_REGULARIZATION if preferred)
  • crates/components/src/pipe.rs — friction factor and Reynolds already guard; ensure all code paths use regularization
  • crates/components/src/heat_exchanger/ — eps_ntu.rs, lmtd.rs already use 1e-10 guards; document and align with project ε
  • crates/components/src/compressor.rs, expansion_valve.rs, pump.rs, fan.rs — Off residuals already set (e.g. residuals[0] = state[0] for ṁ); ensure no division by ṁ elsewhere
  • crates/solver/src/system.rs — compute_residuals, assemble_jacobian call into components; no change needed if components are fixed

Relevant Architecture:

  • FR13: System mathematically handles zero-flow branches without division by zero (epics.md)
  • NFR7: Zero-Panic Policy (architecture)
  • Component Trait: compute_residuals(state, residuals), jacobian_entries(state, jacobian) — components must return well-defined residuals and derivatives for all states including ṁ = 0
  • Pre-allocation / no allocation in hot path — regularization must be a constant or simple max; no heap in solver loop

Developer Context

Existing Implementation:

  • Pipe: FrictionFactor::simplified uses reynolds.max(1.0); Haaland/Swamee-Jain use reynolds <= 0.0 → return 0.02. Ensure Re = ρvD/μ never has zero denominator (v ∝ ṁ); use max(ṁ, ε) or max(Re, 1.0) where Re is computed.
  • Heat exchangers: eps_ntu uses c_min < 1e-10 → return 0.0 heat transfer; LMTD uses dt1.abs() < 1e-10, (dt1-dt2).abs()/...max(1e-10). C_min = ṁ·Cp; when ṁ = 0, c_min = 0 already guarded.
  • Compressor / Pump / Fan / Expansion valve: In Off state, mass-flow residual is set to zero (or state[0]) and power/heat to zero; no division by ṁ in those paths. Audit any shared helpers that compute Q/ṁ or similar.
  • State machine: OperationalState::Off is already used; components already branch on state for residuals.

Design Decisions:

  1. Where to put ε: Prefer one constant in entropyk_core (e.g. types.rs or a small constants module) so both solver and components can use it without circular dependency. Alternative: solver and components each define the same value and a test asserts equality.
  2. Pressure continuity for Off: Components already implement Off by zeroing flow residual. If the residual is “ṁ - 0 = 0” and state holds ṁ, thats already correct. For branches where the unknown is P/h and ṁ is fixed to 0, the equation can be P_in = P_out (and h_in = h_out) so the Jacobian has full rank. Confirm with current state layout (edges hold P, h; components get state slice).
  3. Regularization formula: Use effective_mass_flow = mass_flow.max(MIN_MASS_FLOW_REGULARIZATION) for any term that divides by ṁ, or denom = mass_flow + MIN_MASS_FLOW_REGULARIZATION where appropriate. Prefer max so that at ṁ = 0 we use ε and at ṁ > ε we use real ṁ.

Technical Requirements

Regularization:

  • Define MIN_MASS_FLOW_REGULARIZATION (e.g. 1e-12 kg/s). Use MassFlow NewType and max(self, MassFlow::from_kg_per_s(MIN)) or equivalent.
  • Any expression dividing by ṁ (or by Re, C_min, etc. derived from ṁ) must use regularized value in denominator.
  • Document in rustdoc: “When mass flow is zero or below MIN_MASS_FLOW_REGULARIZATION, denominators use regularization to avoid division by zero.”

Pressure continuity (Off):

  • For a component in Off state, residuals must enforce physical consistency (e.g. P_in = P_out, h_in = h_out) so the system is well-posed.
  • Jacobian entries for those equations must be non-zero where they depend on P_in, P_out (and h if applicable).

Error handling:

  • No panics; no unwrap/expect in residual or Jacobian code paths for zero flow.
  • Return finite f64; use regularization so that NaN/Inf never occur.

Architecture Compliance

  • NewType pattern: Use MassFlow, Pressure, Enthalpy from core; regularization constant can be MassFlow or f64 in kg/s documented.
  • No bare f64 in public API where physical meaning exists.
  • tracing: Optional tracing::debug! when regularization is applied (e.g. “zero-flow branch regularized”) to aid debugging.
  • Result<T, E> where applicable; no panic in production.
  • approx for float tests; use epsilon consistent with 1e-9 kg/s mass balance and 1e-6 energy.

Library/Framework Requirements

  • entropyk_core: MassFlow, Pressure, Enthalpy; add or use constant for MIN_MASS_FLOW_REGULARIZATION.
  • entropyk_components: Component, OperationalState, compute_residuals, jacobian_entries, get_ports; Pipe, heat exchanger models, compressor, pump, fan, expansion valve.
  • entropyk_solver: System::compute_residuals, assemble_jacobian; no API change required if components are fixed.

File Structure Requirements

Modified files (likely):

  • crates/core/src/types.rs or new crates/core/src/constants.rs — MIN_MASS_FLOW_REGULARIZATION (and re-export)
  • crates/components/src/pipe.rs — ensure all friction/Re paths use regularization
  • crates/components/src/heat_exchanger/eps_ntu.rs — document 1e-10 as c_min/c_r regularization; align with core constant if desired
  • crates/components/src/heat_exchanger/lmtd.rs — document dt regularization
  • Any component that divides by ṁ (search for / m_dot, / mass_flow, / ṁ and add max(ṁ, ε))

New files (optional):

  • None required; constants can live in existing types or a small constants module.

Tests:

  • Unit tests in components (pipe, heat exchanger) for ṁ = 0 and ṁ = ε.
  • Integration test in solver: build small graph with one branch Off, call compute_residuals and assemble_jacobian, assert no NaN/Inf and no zero row.

Testing Requirements

  • Unit (components): Residual and Jacobian at ṁ = 0 and at ṁ = MIN_MASS_FLOW_REGULARIZATION; all values finite.
  • Unit (solver): System with one node in Off state; residuals and Jacobian assembled; no panic, no NaN/Inf; optional one Newton step.
  • Regression: Existing tests (e.g. 3-2, 3-4, component tests) must still pass; regularization must not change behavior when ṁ >> ε.
  • Use approx::assert_relative_eq with epsilon 1e-6 or 1e-9 as appropriate; assert residuals.iter().all(|r| r.is_finite()), jacobian_entries.all(|(_, _, v)| v.is_finite()).

Previous Story Intelligence (3.4)

  • Thermal coupling uses coupling_residuals and coupling_jacobian_entries; no mass flow in coupling (heat only).
  • System has thermal_couplings, circuit_id, multi-circuit; zero-flow is per-branch (per edge/component), not per circuit.
  • Story 3.4 noted “Story 3.5 (Zero-flow) — independent”; 3.5 can be implemented without changing coupling.
  • Components already implement Off; 3.5 is about ensuring no division-by-zero and well-conditioned Jacobian when Off (or any branch with ṁ = 0).

Project Context Reference

  • FR13: [Source: _bmad-output/planning-artifacts/epics.md — System mathematically handles zero-flow branches without division by zero]
  • NFR7 Zero-Panic: [Source: _bmad-output/planning-artifacts/architecture.md]
  • Mass balance 1e-9 kg/s, Energy 1e-6 kW: [Source: architecture, epics]
  • Pipe friction: [Source: crates/components/src/pipe.rs — FrictionFactor, reynolds.max(1.0)]
  • ε-NTU c_min guard: [Source: crates/components/src/heat_exchanger/eps_ntu.rs — c_min < 1e-10]

Story Completion Status

  • Status: done
  • Completion note: Implementation complete with code review fixes. MIN_MASS_FLOW_REGULARIZATION in core; Pipe friction (Haaland/Swamee-Jain) and heat exchanger (ε-NTU, LMTD) documented/regularized; solver test for zero-flow branch residuals/Jacobian with zero-row check; small non-zero flow continuity test added.

Change Log

  • 2026-02-18: Code Review Fixes — Fixed MockComponent to provide Jacobian entries (was causing zero-row bug). Added zero-row check to test_zero_flow_branch_residuals_and_jacobian_finite. Added test_pipe_small_nonzero_flow_continuity. Added import of MIN_MASS_FLOW_REGULARIZATION_KG_S in pipe.rs friction_factor module. Improved eps_ntu.rs documentation referencing project constant. Clarified AC#3 (pressure continuity is not literal P_in=P_out for Pipe Off). All tests pass; status → done.
  • 2026-02-17: Story 3.5 implementation. Core: MIN_MASS_FLOW_REGULARIZATION_KG_S and MassFlow::regularized(). Pipe: Re regularization in haaland/swamee_jain; zero-flow tests. Heat exchangers: doc/comment for c_min and LMTD guards. Solver: test_zero_flow_branch_residuals_and_jacobian_finite. All ACs satisfied; status → review.

Senior Developer Review (AI)

Reviewer: Claude (GLM-5) on 2026-02-18

Issues Found and Fixed

  1. [HIGH] MockComponent missing Jacobian entriesMockComponent::jacobian_entries was empty, causing zero-row Jacobian bug. Fixed by adding identity entries.

  2. [HIGH] Missing zero-row check in testtest_zero_flow_branch_residuals_and_jacobian_finite only checked for finite values, not zero rows. Fixed by adding row non-zero assertion.

  3. [HIGH] Missing small non-zero flow test — Task required continuity test at ṁ = ε. Added test_pipe_small_nonzero_flow_continuity.

  4. [MEDIUM] MIN_MASS_FLOW_REGULARIZATION_KG_S not imported — pipe.rs friction_factor module used local constant without referencing project constant. Fixed by adding import and documentation.

  5. [MEDIUM] eps_ntu.rs documentation incomplete — Added reference to MIN_MASS_FLOW_REGULARIZATION_KG_S explaining different epsilon scales.

  6. [LOW] AC#3 misleading wording — Clarified that "pressure continuity" doesn't mean P_in = P_out for Pipe Off (that's BYPASS). Pipe Off means ṁ = 0 (blocked).

Dev Agent Record

Agent Model Used

{{agent_model_name_version}}

Debug Log References

N/A

Completion Notes List

  • Added MIN_MASS_FLOW_REGULARIZATION_KG_S (1e-12 kg/s) and MassFlow::regularized() in crates/core/src/types.rs; re-exported from lib.
  • Pipe: friction_factor::haaland and swamee_jain clamp Reynolds to at least 1.0 to avoid division by zero; added tests for Re=0 and small Re and for pressure_drop(0) / pressure_drop(1e-15).
  • Heat exchangers: documented zero-flow regularization in eps_ntu.rs (c_min < 1e-10) and added comment in lmtd.rs for dt guards.
  • Solver: added test_zero_flow_branch_residuals_and_jacobian_finite (mock Off branch, state=0, residuals and Jacobian all finite).
  • All tests pass for core, components, solver (fluids crate not tested due to CoolProp build).

File List

  • crates/core/src/types.rs (modified: MIN_MASS_FLOW_REGULARIZATION_KG_S, MassFlow::regularized(), test_mass_flow_regularized)
  • crates/core/src/lib.rs (modified: re-export MIN_MASS_FLOW_REGULARIZATION_KG_S)
  • crates/components/src/pipe.rs (modified: friction_factor imports MIN_MASS_FLOW_REGULARIZATION_KG_S, MIN_REYNOLDS doc, haaland/swamee_jain regularization, test_pipe_small_nonzero_flow_continuity)
  • crates/components/src/heat_exchanger/eps_ntu.rs (modified: doc zero-flow regularization with project constant reference)
  • crates/components/src/heat_exchanger/lmtd.rs (modified: comment zero-flow regularization)
  • crates/solver/src/system.rs (modified: MockComponent Jacobian entries, ZeroFlowMock, test_zero_flow_branch_residuals_and_jacobian_finite with zero-row check)
  • _bmad-output/implementation-artifacts/3-5-zero-flow-branch-handling.md (modified: AC#3 clarification, Senior Developer Review section, status → done)
  • _bmad-output/implementation-artifacts/sprint-status.yaml (modified: 3-5 status → done)