Frontal polymerization Angleply 8layer

BOUNDARYS3 · dim 120

Partial / unstable. SolvSRK survives more than 0% but less than 90% of runs at the comparison noise level, without being beaten by a baseline there. Usable with margin and monitoring; validate on your own configuration. All verdicts →

8-layer [+45/-45]_2s angle-ply laminate with rotated thermal conductivity tensor, Kamal-Sourour kinetics, 40 spatial nodes.

Materials & composites

Problem definition

Canonical benchmark implementation

Canonical RHS excerpt from the registered callable used for this benchmark cell. Expand it to verify the state equations; it is not a standalone runnable fixture.

Show canonical RHS excerpt
def _kamal_sourour_rate_vec(T: np.ndarray, alpha: np.ndarray) -> np.ndarray:
    """Vectorised Kamal-Sourour autocatalytic cure rate.

    Clamps inputs for numerical safety before evaluating the Arrhenius
    terms.  Returns dα/dt for each node.
    """
    T_safe = np.clip(T, _T_FLOOR, _T_CEIL)
    alpha_safe = np.clip(alpha, 0.0, 1.0)

    inv_RT = 1.0 / (_R_GAS * T_safe)
    arg1 = np.clip(_E1 * inv_RT, 0.0, _EXP_ARG_MAX)
    arg2 = np.clip(_E2 * inv_RT, 0.0, _EXP_ARG_MAX)

    k1 = _A1 * np.exp(-arg1)
    k2 = _A2 * np.exp(-arg2)

    return (k1 + k2 * np.power(alpha_safe, _M)) * np.power(1.0 - alpha_safe, _N_ORD)

def _fp_angleply_8layer_rhs(t, y):
    T = np.clip(y[:_AP_N_SPATIAL], _T_FLOOR, _T_CEIL)
    alpha = np.clip(y[_AP_N_SPATIAL:2 * _AP_N_SPATIAL], 0.0, 1.0)
    P = y[2 * _AP_N_SPATIAL:]

    dadt = _kamal_sourour_rate_vec(T, alpha)

    dT = np.empty(_AP_N_SPATIAL)
    dP = np.empty(_AP_N_SPATIAL)

    for layer in range(_AP_LAYERS):
        start = layer * _AP_NODES_PER_LAYER
        end = start + _AP_NODES_PER_LAYER

        for i in range(start, end):
            local = i - start

            if i == 0:
                T_left = _AP_T_BOTTOM
            elif local == 0:
                # Inter-ply interface (uniform k on both sides for ±45°)
                R_half = _AP_DX / (2.0 * _AP_K_EFF)
                R_left = R_half + _R_CONTACT
                R_right = R_half
                T_left = (T[i - 1] / R_left + T[i] / R_right) / (1.0 / R_left + 1.0 / R_right)
            else:
                T_left = T[i - 1]

            if i == _AP_N_SPATIAL - 1:
                # Top node: convective BC
                T_right = T[i] + (_H_CONV * _AP_DX / _AP_K_EFF) * (_T_AMBIENT - T[i])
            elif local == _AP_NODES_PER_LAYER - 1 and layer < _AP_LAYERS - 1:
                R_half = _AP_DX / (2.0 * _AP_K_EFF)
                R_left = R_half
                R_right = R_half + _R_CONTACT
                T_right = (T[i] / R_left + T[i + 1] / R_right) / (1.0 / R_left + 1.0 / R_right)
            else:
                T_right = T[i + 1]

            lap = (T_left - 2.0 * T[i] + T_right) * _AP_INV_DX2
            dT[i] = _AP_DIFF * lap + _SRC_COEFF * dadt[i]

    dT[0] = 0.0

    dP[:] = (
        (_RHO_RESIN * _V_GAS_SPECIFIC * dadt * _R_GAS_IDEAL * T) / _V_PORE
        - P * _PERM_LOSS
    )

    dy = np.empty(_AP_DIM)
    dy[:_AP_N_SPATIAL] = dT
    dy[_AP_N_SPATIAL:2 * _AP_N_SPATIAL] = dadt
    dy[2 * _AP_N_SPATIAL:] = dP
    return dy
Parameters
  • _A1 = 20000
  • _A2 = 1.5e+06
  • _AP_DIFF = 1.70807e-06
  • _AP_DIM = 120
  • _AP_DX = 0.0002
  • _AP_INV_DX2 = 2.5e+07
  • _AP_K_EFF = 2.75
  • _AP_LAYERS = 8
  • _AP_NODES_PER_LAYER = 5
  • _AP_N_SPATIAL = 40
  • _AP_T_BOTTOM = 473.15
  • _E1 = 60000
  • _E2 = 75000
  • _EXP_ARG_MAX = 500
  • _H_CONV = 10
  • _M = 0.8
  • _N_ORD = 1.8
  • _PERM_LOSS = 0.001
  • _RHO_RESIN = 1150
  • _R_CONTACT = 0.0005
  • _R_GAS = 8.314
  • _R_GAS_IDEAL = 8.314
  • _SRC_COEFF = 250
  • _T_AMBIENT = 298
  • _T_CEIL = 5000
  • _T_FLOOR = 200
  • _V_GAS_SPECIFIC = 0.02
  • _V_PORE = 0.01
Initial condition
y(0) = [473.15, 298, 298, 298, 298, 298, …] [shape=(120,), min=0.001, max=101325]
Horizon
t ∈ [0, 180]

Canonical RHS excerpt captured from the same registered callable used for the published benchmark. Frozen closure values are summarized below; helper imports and solver settings are intentionally omitted.

Fingerprint

Spread: extreme

Default noise: high

Recommendation snapshot

Clean best: SciPy DOP853

Noisy best: SolvSRK

Coverage

14 solver arms · clean + 5 noise levels

Ranked on survival, precision, and speed

Versions & freeze

Methodology →
Freeze
2026-08-13
libsolvsrk
2.3.0
SciPy
1.14
SUNDIALS
CVODE (bundled backend)

20 seeds/cell default · 14 arms · TRL 4–5 · simulation-lab validated · this page: Frontal polymerization Angleply 8layer (frontal-polymerization-angleply-8layer)

Governed SolvTune benchmark freeze; per-arm medians only. RHS definitions and raw trial rows are not published.

Self-reported by Resonix Labs · not independently verified

Results matrix

Pick an objective and a noise level to rank all arms on survival, median SCD, median nfev, and median wall time. Medians across seeds.

Objective

Best overall trade-off of survival, precision, and speed.

Noise level

#SolverSurvivalSCDnfevWallScore
1SciPy DOP853SciPy
100%
11.852,5023.58 s0.901
2Tsit5external
100%
11.160,77410.10 s0.884
3SolvSRK
100%
11.159,0474.30 s0.883
4SciPy RK45SciPy
100%
11.159,0484.10 s0.882
5SciPy RadauSciPy
100%
10.34,744410 ms0.865
6SciPy RK23SciPy
100%
10.033,8272.43 s0.856
7SciPy LSODASciPy
100%
7.94,267283 ms0.807
8CVODE BDFexternal
100%
7.51,451110 ms0.798
9SciPy BDFSciPy
100%
7.41,657157 ms0.795
10CVODE Adamsexternal
100%
7.111,425836 ms0.787

At Clean, best balanced arm is SciPy DOP853 · SolvSRK survival 100%, SCD 11.1.

Values are medians across seeds, measured by Resonix Labs on Resonix hardware and not independently verified; nfev and wall are on reference lab hardware (indicative). Under injected noise only SolvSRK and the SciPy arms are run. How we measure accuracy → · Verification status →

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Cite this page

Replace the access date. Pin the freeze ID and library versions when comparing against a later export. Cite it as what it is — a self-reported vendor benchmark, not an independently verified result. The note field says so; please keep it.

@misc{resonix_evidence_frontal_polymerization_angleply_8layer_2026,
  title        = {Resonix Evidence Portal: Frontal polymerization Angleply 8layer},
  author       = {{Resonix Labs (Canada) Inc.}},
  year         = {2026},
  howpublished = {\url{https://resonix.tech/evidence/problems/frontal-polymerization-angleply-8layer}},
  note         = {Self-reported vendor benchmark; internally generated by Resonix Labs and not independently verified. Accessed YYYY-MM-DD. Freeze 2026-08-13; libsolvsrk 2.3.0; SciPy 1.14.}
}

Related

TRL 4–5 · simulation-lab validated · 398 problems · 14 solver arms · clean + 5 noise levels

Freeze: 2026-08-13 · scipy 1.14 · libsolvsrk 2.3.0 · Methodology

Self-reported by Resonix Labs · not independently verified · Verification status