HEL Thermal Kill (10kW.CF.300)

ADVANTAGES2 · dim 8

SolvSRK wins. At the comparison noise level, SolvSRK beats the best baseline by at least 10 percentage points of survival, or by at least 0.05 balanced score when survival is tied. Use SolvSRK for this class of problem. All verdicts →

HEL Thermal Kill (10kW.CF.300) benchmark in the defense-autonomy domain.

Defense autonomy

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 rhs(t, y):
    T_tgt = max(y[0], T_ambient)
    T_bat = max(y[1], T_ambient)
    T_pc  = max(y[2], T_ambient)
    sig_d = y[3]
    R     = max(y[5], 1.0)
    eps   = max(abs(y[7]), 1e-10)

    d = np.empty(8)

    # Atmospheric transmission (Beer-Lambert)
    tau_atm = np.exp(-beta_ext * R / 1000.0)

    # Tracking efficiency (Gaussian beam, fraction on target)
    spot_var = 2.0 * (eps * R) ** 2
    eta_track = 1.0 - np.exp(-A_target / max(spot_var, 1e-20))

    P_beam = P_laser * tau_atm * eta_track

    # Target surface heating
    Q_laser = alpha_abs * P_beam
    Q_conv = h_conv * A_t * (T_tgt - T_ambient)
    Q_rad = epsilon_t * _SIGMA_SB * A_t * (T_tgt**4 - T_ambient**4)
    d[0] = (Q_laser - Q_conv - Q_rad - k_cond_bt * (T_tgt - T_bat) - k_cond_pt * (T_tgt - T_pc)) / C_t

    # Battery heating (conduction from target + self-heating)
    d[1] = (k_cond_bt * (T_tgt - T_bat) + I_batt**2 * R_internal - h_b * (T_bat - T_ambient)) / C_b

    # PCB heating
    d[2] = (k_cond_pt * (T_tgt - T_pc) + P_electronics - h_pcb * (T_pc - T_ambient)) / C_pcb

    # Arrhenius damage accumulation
    d[3] = A_arrhenius * np.exp(-E_activation / (_K_B * max(T_tgt, 200.0)))

    # Beam power state (for diagnostics)
    d[4] = (P_beam - y[4]) / 0.01

    # Range decreasing
    d[5] = -V_close

    # Track angle rate (simplified LOS)
    d[6] = V_close * 0.01 / max(R, 1.0)

    # Tracking error settling
    d[7] = -(y[7] - sigma_jitter * 0.5) / tau_track

    return d
Parameters
  • A_arrhenius = 1e+08
  • A_t = 0.02
  • A_target = 0.05
  • C_b = 200
  • C_pcb = 80
  • C_t = 500
  • E_activation = 1.2e-19
  • I_batt = 20
  • P_electronics = 15
  • P_laser = 10000
  • R_internal = 0.05
  • T_ambient = 293
  • V_close = 20
  • _K_B = 1.38e-23
  • _SIGMA_SB = 5.67e-08
  • alpha_abs = 0.5
  • beta_ext = 0.3
  • epsilon_t = 0.9
  • h_b = 10
  • h_conv = 25
  • h_pcb = 8
  • k_cond_bt = 5
  • k_cond_pt = 3
  • sigma_jitter = 2e-05
  • tau_track = 0.1
Initial condition
y(0) = [293, 293, 293, 0, 0, 300, 0, 2e-05]
Horizon
t ∈ [0, 10]

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: high

Default noise: low

Recommendation snapshot

Clean best: SolvSRK

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: HEL Thermal Kill (10kW.CF.300) (hel-thermal-kill-10kw-cf-300)

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
1SolvSRK
100%
13.697424 ms0.943
2SciPy RadauSciPy
100%
13.11,11328 ms0.932
3SciPy BDFSciPy
100%
10.355920 ms0.865
4SciPy LSODASciPy
100%
10.23433 ms0.861
5CVODE BDFexternal
100%
9.730611 ms0.849
6CVODE Adamsexternal
100%
9.649814 ms0.847
7SciPy DOP853SciPy
100%
9.63,06232 ms0.847
8Tsit5external
100%
8.42,4121.02 s0.819
9SciPy RK23SciPy
100%
8.32,87037 ms0.816
10SciPy RK45SciPy
100%
7.82,17424 ms0.806

At Clean, best balanced arm is SolvSRK.

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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SolvSRK · 30-day trial

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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_hel_thermal_kill_10kw_cf_300_2026,
  title        = {Resonix Evidence Portal: HEL Thermal Kill (10kW.CF.300)},
  author       = {{Resonix Labs (Canada) Inc.}},
  year         = {2026},
  howpublished = {\url{https://resonix.tech/evidence/problems/hel-thermal-kill-10kw-cf-300}},
  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