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Application of the Projective Method in the Numerical Simulation of Combustion

机译：投射法在燃烧数值模拟中的应用

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The numerical simulation of combustion is one of the most important research tools for developing alternative fuels and high-performance combustion engines, which is widely used in the field of aerospace. However, the broad range of time scales and complex chemical kinetics bring great challenge to combustion simulation. With traditional implicit methods, most of the CPU time will be spent on solving the stiff ODEs caused by detailed chemistry mechanism. So, the object of this study is to use an accurate and efficient explicit method to solve the stiff ODEs, by which the computational efficiency can be greatly improved. Developed by Gear and co-workers, the projective method is utilized to solve stiff ODEs with a broad range of time scales, which is suitable for combustion problems. In this study, the homogeneous ignition process and spherical flame propagation process of methane are both investigated. Compared to the results from a traditional implicit method, VODE, projective method gives almost the same results, while the calculation speed is one-order faster than that of the VODE method. Due to its high accuracy and efficiency, the projective method will have great potentials in combustion simulation.
机译：燃烧的数值模拟是开发替代燃料和高性能燃烧发动机最重要的研究工具之一，这些工具和高性能燃烧发动机广泛应用于航空航天领域。然而，广泛的时间尺度和复杂的化学动力学为燃烧模拟带来了巨大挑战。以传统的隐含方法，大多数CPU时间都将花在解决由详细的化学机制引起的僵硬杂散。因此，本研究的目的是使用准确和有效的明确方法来解决僵硬的杂散，可以大大提高计算效率。由装备和同事开发，投影方法用于解决具有广泛时间尺度的僵硬杂散，适用于燃烧问题。在该研究中，均研究甲烷的均匀点火过程和球形火焰繁殖过程。与传统隐式方法的结果相比，vode，投影方法提供了几乎相同的结果，而计算速度比vode方法的速度快一阶。由于其高精度和效率，投影方法将具有很大的燃烧模拟潜力。

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