Turbulent jet ignition (TJI) is a promising combustion technology for burning highly diluted air-fuel mixtures. Computationally efficient models to assess the effect of the operating conditions and design parameters on the ignition propensity and timing are of paramount importance for the development of combustion systems employing TJI. To this end, a one-dimensional (1-D) jet model, which is based on the solution of the section integrated mass and momentum conservation equations, is derived in the present study. The model is extended with two additional transport equations for the turbulence intensity and the ignition precursor/tracer, that marks the ignition event. One-dimensional transient flamelet calculations are performed to generate tables for the ignition precursor source term that account for the turbulence and chemistry interaction. Further simplification of the model is carried out to obtain a novel penetration correlation and a computationally inexpensive Lagrangian ignition model. The extended jet model is hierarchically validated using available literature data for non-reactive and reactive jets, as well as experiments conducted in a state-of-the-art optically accessible prechamber. The derived model is able to reproduce both flow-related quantities (velocity and turbulence profiles, jet penetration) and the ignition delay time under different variations. This study also illustrates how numerical simulations in canonical configurations (one-dimensional flamelet) can be used in practical applications of TJI.

湍流喷射点火（TJI）是一种用于燃烧高度稀释的空气燃料混合物的有前途的燃烧技术。评估运行条件和设计参数对点火倾向和正时的影响的高效计算模型对于开发采用TJI的燃烧系统至关重要。为此，在本研究中导出了基于截面质量和动量守恒积分方程解的一维（1-D）射流模型。针对湍流强度和点火先兆/示踪剂，使用两个附加的运输方程式扩展了该模型，该方程式标记了点火事件。进行一维瞬态小火焰计算，以生成点火前体源项的表，该表考虑了湍流和化学相互作用。对该模型进行了进一步的简化，以获得新颖的穿透相关性和计算上便宜的拉格朗日点火模型。扩展的射流模型使用非反应性和反应性射流的可用文献数据以及在最新的光学可访问前室中进行的实验进行分层验证。导出的模型能够在不同变化下再现与流量相关的量（速度和湍流分布，射流穿透）和点火延迟时间。这项研究还说明了在规范配置（一维小火焰）中的数值模拟如何在TJI的实际应用中使用。扩展的射流模型使用非反应性和反应性射流的可用文献数据以及在最新的光学可访问前室中进行的实验进行分层验证。导出的模型能够在不同变化下再现与流量相关的量（速度和湍流分布，射流穿透）和点火延迟时间。这项研究还说明了在规范配置（一维小火焰）中的数值模拟如何在TJI的实际应用中使用。扩展的射流模型使用非反应性和反应性射流的可用文献数据以及在最新的光学可访问前室中进行的实验进行分层验证。导出的模型能够在不同变化下再现与流量相关的量（速度和湍流分布，射流穿透）和点火延迟时间。这项研究还说明了在规范配置（一维小火焰）中的数值模拟如何在TJI的实际应用中使用。射流穿透）和点火延迟时间在不同的变化下。这项研究还说明了在规范配置（一维小火焰）中的数值模拟如何在TJI的实际应用中使用。射流穿透）和点火延迟时间在不同的变化下。这项研究还说明了在规范配置（一维小火焰）中的数值模拟如何在TJI的实际应用中使用。