{ "format": "lemonergy/native-validation-performance@1", "generatedAt": "2026-10-28T17:13:51.851Z", "referenceVersion": 2, "campaign": "original-synthetic-reference", "classification": "independently-authored-synthetic", "runtime": { "node": "v24.19.0", "platform": "win32", "architecture": "x64" }, "methodology": "One fresh native solve per prepared graph. Every accepted point and every intermediate output is retained; compared signals are checked against independent closed-form equations with preset gates. No timings, external software parity or hardware validation are claimed.", "fingerprints": { "js/cosim-graph.js": "e6c9d5c69ea8f4a9e2044ba0d74b628c7336c42d206b426e97756bc86257d272", "js/wasm-core.js": "a4a6e8e4922e5d5057d887bc9c2da35a7d0eafd96b3f3e2028e9e9b3d9224a7f", "js/validation-cases.js": "1bec7ad65703e6408818c144e73bf5aa525acc6ac77a175183da865484f98500", "js/synthetic-validation-factory.js": "2cc9fca76979003b3423f011ec36628ac19ce167a6b19a2a2063b6ddfde6bb5e", "js/synthetic-pulse-reference.js": "c6688d105bdcaf7a2d3b0a9d0c0100d0962eac8745e54ea4183125ea145490a1", "wasm/battery_design_core.wasm": "6aa08317b6d9cc949d6f86e4606631f14e3530fc38861c65e7e73edc6798faf0" }, "cases": [ { "id": "lemonergy-synthetic-2rc-pulse-v1", "title": "Synthetic battery pulse: two relaxation branches", "family": "Battery", "editorImportRequired": true, "summary": "Excite a hypothetical two-RC cell with independently chosen current amplitudes and durations, then compare its voltage with a closed-form edge response.", "source": { "title": "Lemonergy synthetic numerical reference contract", "url": "https://lemonergy.com/wiki/synthetic-two-rc-pulse-contract/" }, "solverSettings": { "method": "dormand-prince-45", "startS": 0, "initialStepS": 0.001, "minStepS": 1e-10, "maxStepS": 0.25, "relativeTolerance": 1e-10, "absoluteTolerance": 1e-12, "maxSteps": 100000, "algebraicTolerance": 1e-10, "algebraicMaxIterations": 30, "implicitTolerance": 1e-10, "implicitMaxIterations": 20, "endS": 390 }, "signals": [ { "id": "terminal-voltage", "label": "Terminal voltage", "unit": "V", "quantity": "voltage", "gate": 0.000001 }, { "id": "current", "label": "Discharge current", "unit": "A", "quantity": "current", "gate": 1e-10 } ], "inputs": [ { "label": "OCV", "value": 4, "unit": "V" }, { "label": "R0", "value": 0.012, "unit": "Ω" }, { "label": "R1", "value": 0.006, "unit": "Ω" }, { "label": "Fast time constant", "value": 3, "unit": "s" }, { "label": "R2", "value": 0.018, "unit": "Ω" }, { "label": "Slow time constant", "value": 24, "unit": "s" } ], "blockExplanation": "The current is 0 A for 12 s, 2 A for 6 s, 0 A for 36 s, 6 A for 96 s, 0 A for 120 s, 4 A for 24 s, then 0 A for 96 s. Step sources sum into current. Resistance gains drive two first-order states, and terminal voltage is OCV − I·R0 − v1 − v2.", "scope": "Original idealized fixed-parameter forward model. Positive current means discharge. Initial polarization is zero. The independently shaped fitting holdout is a separate experiment, not the trace executed here.", "limitations": [ "The inputs are authored synthetic teaching choices. No measured cell, material dataset or external software trace is reproduced.", "Passing verifies these numerical implementations against analytical equations; it does not establish hardware accuracy, safety or parity with another product.", "Maximum-error gates are fixed before execution. RMSE weights accepted solver samples equally; it is not a uniform-time integral.", "OCV and all parameters remain fixed. The capacity, initial SOC and ambient labels belong to the separate fitting exercise; this forward graph does not predict SOC or temperature.", "At current switches the ohmic term is right-continuous, while the two RC states remain continuous." ], "modelSha256": "4bdd4abe36b26ced501bc0434c4a2fbb927a49c0e48af6faab89a1941f1ac2aa", "graphChecksum": "fnv1a32:cd7698e9", "pass": true, "metrics": [ { "name": "Terminal voltage", "signalId": "terminal-voltage", "unit": "V", "actual": 3.999161591319152, "reference": 3.9991615913191523, "maxAbsError": 8.477663016037695e-13, "rmse": 2.0446833118324084e-13, "gate": 0.000001, "pass": true, "sampleCount": 1740 }, { "name": "Discharge current", "signalId": "current", "unit": "A", "actual": 0, "reference": 0, "maxAbsError": 0, "rmse": 0, "gate": 1e-10, "pass": true, "sampleCount": 1740 } ], "nativeResult": { "points": [ { "timeS": 0, "values": { "current": 0, "negative-rc1": 0, "negative-rc2": 0, "ocv": 4, "ohmic-drop": 0, "pulse-edge-1": 0, 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Positive current means discharge. Initial polarization is zero. The independently shaped fitting holdout is a separate experiment, not the trace executed here.", "limitations": [ "The inputs are authored synthetic teaching choices. No measured cell, material dataset or external software trace is reproduced.", "Passing verifies these numerical implementations against analytical equations; it does not establish hardware accuracy, safety or parity with another product.", "Maximum-error gates are fixed before execution. RMSE weights accepted solver samples equally; it is not a uniform-time integral.", "OCV and all parameters remain fixed. The capacity, initial SOC and ambient labels belong to the separate fitting exercise; this forward graph does not predict SOC or temperature.", "At current switches the ohmic term is right-continuous, while the two RC states remain continuous." ], "graphChecksum": "fnv1a32:cd7698e9", "referenceVersion": 2 } }, { "id": "lemonergy-series-rlc-step-v1", "title": "Series RLC: step response from rest", "family": "Electrical", "editorImportRequired": true, "summary": "Apply a 10 V step to an original series resistor–inductor–capacitor teaching circuit and compare current and charge with its damped closed-form response.", "source": { "title": "Lemonergy synthetic numerical reference contract", "url": "https://lemonergy.com/wiki/synthetic-series-rlc-contract/" }, "solverSettings": { "method": "dormand-prince-45", "startS": 0, "initialStepS": 0.0001, "minStepS": 1e-10, "maxStepS": 0.005, "relativeTolerance": 1e-10, "absoluteTolerance": 1e-12, "maxSteps": 100000, "algebraicTolerance": 1e-10, "algebraicMaxIterations": 30, "implicitTolerance": 1e-10, "implicitMaxIterations": 20, "endS": 1.2 }, "signals": [ { "id": "current", "label": "Series current", "unit": "A", "quantity": "dimensionless", "gate": 1e-7 }, { "id": "charge", "label": "Capacitor charge", "unit": "C", "quantity": "dimensionless", "gate": 1e-7 }, { "id": "input-voltage", "label": "Applied voltage", "unit": "V", "quantity": "dimensionless", "gate": 1e-7 } ], "inputs": [ { "label": "Series resistance", "value": 8, "unit": "Ω" }, { "label": "Inductance", "value": 0.4, "unit": "H" }, { "label": "Capacitance", "value": 0.002, "unit": "F" }, { "label": "Applied voltage", "value": 10, "unit": "V" }, { "label": "Initial current", "value": 0, "unit": "A" }, { "label": "Initial charge", "value": 0, "unit": "C" } ], "blockExplanation": "Two integrators implement dq/dt = i and di/dt = (10 − 8i − q/0.002)/0.4. The analytical damping is 10 s⁻¹ and damped angular frequency is √1150 rad/s. The charge approaches C·E = 0.02 C.", "scope": "Original series-circuit topology with zero stored energy at initialization. Equation ports use explicit SI numerical mapping (1 unit = 1 A, 1 C or 1 V) because this preserved equation runtime has no charge-rate port type.", "limitations": [ "The inputs are authored synthetic teaching choices. No measured cell, material dataset or external software trace is reproduced.", "Passing verifies these numerical implementations against analytical equations; it does not establish hardware accuracy, safety or parity with another product.", "Maximum-error gates are fixed before execution. RMSE weights accepted solver samples equally; it is not a uniform-time integral.", "Ideal linear components and a prescribed ideal voltage step. Parasitics, switching losses and physical component tolerances are omitted. This is an equation graph, not a conserving-network topology test." ], "modelSha256": "4b9766f3e571036a6be8d1f698708bfa42d36250be4a9e3ad4404c617bf00629", "graphChecksum": "fnv1a32:716789f8", "pass": true, "metrics": [ { "name": "Series current", "signalId": "current", "unit": "A", "actual": 6.622189907877972e-7, "reference": 6.622178113328741e-7, "maxAbsError": 1.936704963068081e-11, "rmse": 7.373017739128628e-12, "gate": 1e-7, "pass": true, "sampleCount": 714 }, { "name": "Capacitor charge", "signalId": "charge", "unit": "C", "actual": 0.020000116266125655, "reference": 0.02000011626614322, "maxAbsError": 5.983789852503918e-13, "rmse": 2.1999435588591663e-13, "gate": 1e-7, "pass": true, "sampleCount": 714 }, { "name": "Applied voltage", "signalId": "input-voltage", "unit": "V", "actual": 10, "reference": 10, "maxAbsError": 0, "rmse": 0, "gate": 1e-7, "pass": true, "sampleCount": 714 } ], "nativeResult": { "points": [ { "timeS": 0, "values": { "capacitive-rate": 0, "charge": 0, 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1.2, "settingsMatch": true, "bindingMatch": true, "modelMatch": true, "reasons": [] }, "scope": "Original series-circuit topology with zero stored energy at initialization. Equation ports use explicit SI numerical mapping (1 unit = 1 A, 1 C or 1 V) because this preserved equation runtime has no charge-rate port type.", "limitations": [ "The inputs are authored synthetic teaching choices. No measured cell, material dataset or external software trace is reproduced.", "Passing verifies these numerical implementations against analytical equations; it does not establish hardware accuracy, safety or parity with another product.", "Maximum-error gates are fixed before execution. RMSE weights accepted solver samples equally; it is not a uniform-time integral.", "Ideal linear components and a prescribed ideal voltage step. Parasitics, switching losses and physical component tolerances are omitted. This is an equation graph, not a conserving-network topology test." ], "graphChecksum": "fnv1a32:716789f8", "referenceVersion": 2 } }, { "id": "lemonergy-synthetic-thermal-conduction", "title": "Synthetic thermal resistance", "summary": "Conduct 6 W across a prescribed 2 K/W thermal resistance from a 320 K boundary.", "family": "Heat transfer", "editorImportRequired": true, "source": { "title": "Lemonergy synthetic numerical reference contract", "url": "https://lemonergy.com/wiki/synthetic-thermal-network-contract/" }, "solverSettings": { "method": "dormand-prince-45", "startS": 0, "initialStepS": 0.01, "minStepS": 1e-10, "maxStepS": 5, "relativeTolerance": 1e-11, "absoluteTolerance": 1e-12, "maxSteps": 100000, "algebraicTolerance": 1e-10, "algebraicMaxIterations": 30, "implicitTolerance": 1e-10, "implicitMaxIterations": 20, "endS": 1 }, "signals": [ { "id": "tip-temperature", "label": "Far-boundary temperature", "unit": "K", "quantity": "temperature", "gate": 1e-7 } ], "inputs": [ { "label": "Boundary temperature", "value": 320, "unit": "K" }, { "label": "Heat flow", "value": 6, "unit": "W" }, { "label": "Thermal resistance", "value": 2, "unit": "K/W" } ], "blockExplanation": "A heat source and resistance gain form the temperature drop. The far boundary is 320 − 6×2 = 308 K.", "scope": "Hypothetical lumped thermal network. Temperatures are absolute kelvin, heat rates watts and thermal capacity joules per kelvin. No real material is characterized.", "limitations": [ "The inputs are authored synthetic teaching choices. No measured cell, material dataset or external software trace is reproduced.", "Passing verifies these numerical implementations against analytical equations; it does not establish hardware accuracy, safety or parity with another product.", "Maximum-error gates are fixed before execution. RMSE weights accepted solver samples equally; it is not a uniform-time integral.", "Thermal resistance, capacity and convection coefficient are prescribed positive constants; spatial temperature fields and temperature-dependent properties are outside this case." ], "modelSha256": "e78d3d966992f2e57fe9b8c140f81f7cd3e6584c7d6bc40857e9452b7ab51549", "graphChecksum": "fnv1a32:e5c1334c", "pass": true, "metrics": [ { "name": "Far-boundary temperature", "signalId": "tip-temperature", "unit": "K", "actual": 308, "reference": 308, "maxAbsError": 0, "rmse": 0, "gate": 1e-7, "pass": true, "sampleCount": 2 } ], "nativeResult": { "points": [ { "timeS": 0, "values": { "base-temperature": 320, "imposed-heat": 6, "temperature-drop": -12, "tip-temperature": 308 } }, { "timeS": 1, "values": { "base-temperature": 320, "imposed-heat": 6, "temperature-drop": -12, "tip-temperature": 308 } } ], "blockIds": [ "base-temperature", "imposed-heat", "temperature-drop", "tip-temperature" ], "instants": [], "events": [], "acceptedSteps": 1, "rejectedSteps": 0, "nonlinearIterations": 0, "solver": { "method": "dormand-prince-45", "reason": "user-selected" } }, "comparison": { "format": "lemonergy/block-model-validation@1", "id": "lemonergy-synthetic-thermal-conduction", "pass": true, "metrics": [ { "name": "Far-boundary temperature", "signalId": "tip-temperature", "unit": "K", "actual": 308, "reference": 308, "maxAbsError": 0, "rmse": 0, "gate": 1e-7, "pass": true, "sampleCount": 2 } ], "traces": [ { "timeS": 0, "signals": { "tip-temperature": { "actual": 308, "reference": 308, "error": 0 } } }, { "timeS": 1, "signals": { "tip-temperature": { "actual": 308, "reference": 308, "error": 0 } } } ], "completeness": { "pass": true, "sampleCount": 2, "firstTimeS": 0, "lastTimeS": 1, "settingsMatch": true, "bindingMatch": true, "modelMatch": true, "reasons": [] }, "scope": "Hypothetical lumped thermal network. Temperatures are absolute kelvin, heat rates watts and thermal capacity joules per kelvin. No real material is characterized.", "limitations": [ "The inputs are authored synthetic teaching choices. No measured cell, material dataset or external software trace is reproduced.", "Passing verifies these numerical implementations against analytical equations; it does not establish hardware accuracy, safety or parity with another product.", "Maximum-error gates are fixed before execution. RMSE weights accepted solver samples equally; it is not a uniform-time integral.", "Thermal resistance, capacity and convection coefficient are prescribed positive constants; spatial temperature fields and temperature-dependent properties are outside this case." ], "graphChecksum": "fnv1a32:e5c1334c", "referenceVersion": 2 } }, { "id": "lemonergy-synthetic-thermal-convection", "title": "Synthetic convection balance", "summary": "Evaluate a prescribed 0.08 m² surface at 315 K in 295 K air with h = 12.5 W/(m²·K).", "family": "Heat transfer", "editorImportRequired": true, "source": { "title": "Lemonergy synthetic numerical reference contract", "url": "https://lemonergy.com/wiki/synthetic-thermal-network-contract/" }, "solverSettings": { "method": "dormand-prince-45", "startS": 0, "initialStepS": 0.01, "minStepS": 1e-10, "maxStepS": 5, "relativeTolerance": 1e-11, "absoluteTolerance": 1e-12, "maxSteps": 100000, "algebraicTolerance": 1e-10, "algebraicMaxIterations": 30, "implicitTolerance": 1e-10, "implicitMaxIterations": 20, "endS": 1 }, "signals": [ { "id": "convection-heat", "label": "Convective heat loss", "unit": "W", "quantity": "heat", "gate": 1e-7 } ], "inputs": [ { "label": "Surface area", "value": 0.08, "unit": "m²" }, { "label": "Convection coefficient", "value": 12.5, "unit": "W/(m²·K)" }, { "label": "Surface temperature", "value": 315, "unit": "K" }, { "label": "Air temperature", "value": 295, "unit": "K" } ], "blockExplanation": "A temperature difference and gain implement Q = h·A·ΔT = 12.5×0.08×20 = 20 W.", "scope": "Hypothetical lumped thermal network. Temperatures are absolute kelvin, heat rates watts and thermal capacity joules per kelvin. No real material is characterized.", "limitations": [ "The inputs are authored synthetic teaching choices. No measured cell, material dataset or external software trace is reproduced.", "Passing verifies these numerical implementations against analytical equations; it does not establish hardware accuracy, safety or parity with another product.", "Maximum-error gates are fixed before execution. RMSE weights accepted solver samples equally; it is not a uniform-time integral.", "Thermal resistance, capacity and convection coefficient are prescribed positive constants; spatial temperature fields and temperature-dependent properties are outside this case." ], "modelSha256": "c73d320a4c4e935dd3f576c8140f41d12e8f0e3f6a34b22b57ee9d693f1f9af9", "graphChecksum": "fnv1a32:fcfe996b", "pass": true, "metrics": [ { "name": "Convective heat loss", "signalId": "convection-heat", "unit": "W", "actual": 20, "reference": 20, "maxAbsError": 0, "rmse": 0, "gate": 1e-7, "pass": true, "sampleCount": 2 } ], "nativeResult": { "points": [ { "timeS": 0, "values": { "ambient-temperature": 295, "convection-heat": 20, "negative-ambient": -295, "temperature-difference": 20, "uniform-temperature": 315 } }, { "timeS": 1, "values": { "ambient-temperature": 295, "convection-heat": 20, "negative-ambient": -295, "temperature-difference": 20, "uniform-temperature": 315 } } ], "blockIds": [ "ambient-temperature", "convection-heat", "negative-ambient", "temperature-difference", "uniform-temperature" ], "instants": [], "events": [], "acceptedSteps": 1, "rejectedSteps": 0, "nonlinearIterations": 0, "solver": { "method": "dormand-prince-45", "reason": "user-selected" } }, "comparison": { "format": "lemonergy/block-model-validation@1", "id": "lemonergy-synthetic-thermal-convection", "pass": true, "metrics": [ { "name": "Convective heat loss", "signalId": "convection-heat", "unit": "W", "actual": 20, "reference": 20, "maxAbsError": 0, "rmse": 0, "gate": 1e-7, "pass": true, "sampleCount": 2 } ], "traces": [ { "timeS": 0, "signals": { "convection-heat": { "actual": 20, "reference": 20, "error": 0 } } }, { "timeS": 1, "signals": { "convection-heat": { "actual": 20, "reference": 20, "error": 0 } } } ], "completeness": { "pass": true, "sampleCount": 2, "firstTimeS": 0, "lastTimeS": 1, "settingsMatch": true, "bindingMatch": true, "modelMatch": true, "reasons": [] }, "scope": "Hypothetical lumped thermal network. Temperatures are absolute kelvin, heat rates watts and thermal capacity joules per kelvin. No real material is characterized.", "limitations": [ "The inputs are authored synthetic teaching choices. No measured cell, material dataset or external software trace is reproduced.", "Passing verifies these numerical implementations against analytical equations; it does not establish hardware accuracy, safety or parity with another product.", "Maximum-error gates are fixed before execution. RMSE weights accepted solver samples equally; it is not a uniform-time integral.", "Thermal resistance, capacity and convection coefficient are prescribed positive constants; spatial temperature fields and temperature-dependent properties are outside this case." ], "graphChecksum": "fnv1a32:fcfe996b", "referenceVersion": 2 } }, { "id": "lemonergy-synthetic-thermal-insulated", "title": "Synthetic insulated thermal mass", "summary": "Supply 16 W to an insulated 800 J/K thermal capacity, initially 295 K.", "family": "Heat transfer", "editorImportRequired": true, "source": { "title": "Lemonergy synthetic numerical reference contract", "url": "https://lemonergy.com/wiki/synthetic-thermal-network-contract/" }, "solverSettings": { "method": "dormand-prince-45", "startS": 0, "initialStepS": 0.01, "minStepS": 1e-10, "maxStepS": 5, "relativeTolerance": 1e-11, "absoluteTolerance": 1e-12, "maxSteps": 100000, "algebraicTolerance": 1e-10, "algebraicMaxIterations": 30, "implicitTolerance": 1e-10, "implicitMaxIterations": 20, "endS": 200 }, "signals": [ { "id": "rod-temperature", "label": "Lumped temperature", "unit": "K", "quantity": "temperature", "gate": 1e-7 }, { "id": "temperature-rate", "label": "Heating rate", "unit": "K/s", "quantity": "temperature-rate", "gate": 1e-7 } ], "inputs": [ { "label": "Thermal capacity", "value": 800, "unit": "J/K" }, { "label": "Heat input", "value": 16, "unit": "W" }, { "label": "Initial temperature", "value": 295, "unit": "K" } ], "blockExplanation": "A thermal balance with zero heat loss drives an integrator. dT/dt = 16/800 = 0.02 K/s, so T(200 s) = 299 K.", "scope": "Hypothetical lumped thermal network. Temperatures are absolute kelvin, heat rates watts and thermal capacity joules per kelvin. No real material is characterized.", "limitations": [ "The inputs are authored synthetic teaching choices. No measured cell, material dataset or external software trace is reproduced.", "Passing verifies these numerical implementations against analytical equations; it does not establish hardware accuracy, safety or parity with another product.", "Maximum-error gates are fixed before execution. RMSE weights accepted solver samples equally; it is not a uniform-time integral.", "Thermal resistance, capacity and convection coefficient are prescribed positive constants; spatial temperature fields and temperature-dependent properties are outside this case." ], "modelSha256": "44e3474d88ca2977f95a7bbd0e852845232c5e4ca7c5b18acf6f755ee9d9a61f", "graphChecksum": "fnv1a32:5b47b6ed", "pass": true, "metrics": [ { "name": "Lumped temperature", "signalId": "rod-temperature", "unit": "K", "actual": 299.00000000000085, "reference": 299, "maxAbsError": 8.526512829121202e-13, "rmse": 4.672853267861794e-13, "gate": 1e-7, "pass": true, "sampleCount": 45 }, { "name": "Heating rate", "signalId": "temperature-rate", "unit": "K/s", "actual": 0.02, "reference": 0.02, "maxAbsError": 0, "rmse": 0, "gate": 1e-7, "pass": true, "sampleCount": 45 } ], "nativeResult": { "points": [ { "timeS": 0, "values": { "ambient-temperature": 295, "imposed-heat": 16, "rod-temperature": 295, "temperature-rate": 0.02 } }, 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"settingsMatch": true, "bindingMatch": true, "modelMatch": true, "reasons": [] }, "scope": "Hypothetical lumped thermal network. Temperatures are absolute kelvin, heat rates watts and thermal capacity joules per kelvin. No real material is characterized.", "limitations": [ "The inputs are authored synthetic teaching choices. No measured cell, material dataset or external software trace is reproduced.", "Passing verifies these numerical implementations against analytical equations; it does not establish hardware accuracy, safety or parity with another product.", "Maximum-error gates are fixed before execution. RMSE weights accepted solver samples equally; it is not a uniform-time integral.", "Thermal resistance, capacity and convection coefficient are prescribed positive constants; spatial temperature fields and temperature-dependent properties are outside this case." ], "graphChecksum": "fnv1a32:5b47b6ed", "referenceVersion": 2 } }, { "id": "lemonergy-synthetic-thermal-lumped", "title": "Synthetic thermal mass between two boundaries", "summary": "Connect an 800 J/K thermal mass to 335 K through 2 W/K and to 295 K air through 1 W/K.", "family": "Heat transfer", "editorImportRequired": true, "source": { "title": "Lemonergy synthetic numerical reference contract", "url": "https://lemonergy.com/wiki/synthetic-thermal-network-contract/" }, "solverSettings": { "method": "dormand-prince-45", "startS": 0, "initialStepS": 0.01, "minStepS": 1e-10, "maxStepS": 5, "relativeTolerance": 1e-11, "absoluteTolerance": 1e-12, "maxSteps": 100000, "algebraicTolerance": 1e-10, "algebraicMaxIterations": 30, "implicitTolerance": 1e-10, "implicitMaxIterations": 20, "endS": 1200 }, "signals": [ { "id": "rod-temperature", "label": "Lumped temperature", "unit": "K", "quantity": "temperature", "gate": 1e-7 } ], "inputs": [ { "label": "Thermal capacity", "value": 800, "unit": "J/K" }, { "label": "Hot-side conductance", "value": 2, "unit": "W/K" }, { "label": "Hot boundary", "value": 335, "unit": "K" }, { "label": "Air conductance", "value": 1, "unit": "W/K" }, { "label": "Air temperature", "value": 295, "unit": "K" }, { "label": "Initial temperature", "value": 295, "unit": "K" } ], "blockExplanation": "The balance is 800·dT/dt = 2(335−T) − (T−295). Equilibrium is 965/3 K and time constant is 800/3 s. Compare every native point with that exponential solution.", "scope": "Hypothetical lumped thermal network. Temperatures are absolute kelvin, heat rates watts and thermal capacity joules per kelvin. No real material is characterized.", "limitations": [ "The inputs are authored synthetic teaching choices. No measured cell, material dataset or external software trace is reproduced.", "Passing verifies these numerical implementations against analytical equations; it does not establish hardware accuracy, safety or parity with another product.", "Maximum-error gates are fixed before execution. RMSE weights accepted solver samples equally; it is not a uniform-time integral.", "Thermal resistance, capacity and convection coefficient are prescribed positive constants; spatial temperature fields and temperature-dependent properties are outside this case." ], "modelSha256": "4ed8d23b109870c8df77cc8582ca0949535f0f6b5418380783cbc51ba0a284ea", "graphChecksum": "fnv1a32:93b4d0aa", "pass": true, "metrics": [ { "name": "Lumped temperature", "signalId": "rod-temperature", "unit": "K", "actual": 321.37042675897953, "reference": 321.3704267589802, "maxAbsError": 6.536993168992922e-12, "rmse": 4.065353648962025e-12, "gate": 1e-7, "pass": true, "sampleCount": 245 } ], "nativeResult": { "points": [ { "timeS": 0, "values": { "ambient-temperature": 295, "base-heat": 80, "base-temperature": 335, "base-temperature-difference": 40, "negative-temperature": -295, "rod-temperature": 295, "temperature-rate": 0.1 } }, { "timeS": 0.01, "values": { "ambient-temperature": 295, "base-heat": 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Temperatures are absolute kelvin, heat rates watts and thermal capacity joules per kelvin. No real material is characterized.", "limitations": [ "The inputs are authored synthetic teaching choices. No measured cell, material dataset or external software trace is reproduced.", "Passing verifies these numerical implementations against analytical equations; it does not establish hardware accuracy, safety or parity with another product.", "Maximum-error gates are fixed before execution. RMSE weights accepted solver samples equally; it is not a uniform-time integral.", "Thermal resistance, capacity and convection coefficient are prescribed positive constants; spatial temperature fields and temperature-dependent properties are outside this case." ], "graphChecksum": "fnv1a32:93b4d0aa", "referenceVersion": 2 } } ], "pass": true }