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Spark-plug lifetime is limited by the ability of the ignition coil to generate a spark channel. Electrode erosion during operation causes the geometry to deform and the maximum voltage required to form a spark increases until the ignition coil is no longer able to form the spark channel. Numerical models that can analyze the breakdown of the plasma in a spark plug have typically been limited to vacuum electrical field simulations and full-fidelity plasma models. In the present work, we present a fast, predictive breakdown model that blends the speed and computational efficiency of electric field model and incorporates the essential physics of the breakdown event without having to pay the cost of solving the full set of plasma governing equations.

While spark-ignition (SI) engine technology is aggressively moving towards challenging (dilute and boosted) combustion regimes, advanced ignition technologies generating non-equilibrium types of plasma are being considered by the automotive industry as a potential replacement for the conventional spark-plug technology. However, there are currently no models that can describe the low-temperature plasma (LTP) ignition process in computational fluid dynamics (CFD) codes that are typically used in the multi-dimensional engine modeling community. A key question for the engine modelers that are trying to describe the non-equilibrium ignition physics concerns the plasma characteristics. A key challenge is also represented by the plasma formation timescale (nanoseconds) that can hardly be resolved within a full engine cycle simulation.