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arXiv 2103.12299physics.flu-dyn
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用近似惯性流形方法模拟湍流非预混燃烧

Using approximate inertial manifold approach to model turbulent non-premixed combustion

Maryam Akram, Venkat Raman

摘要:

惯性流形理论(IM)被用来发展湍流燃烧的降阶模型。在这种方法中,系统的动态跟踪在一个低维流形确定在原位,而不调用层流火焰结构或统计假设的基础湍流。近似IM(AIM)的基本概念是将系统的慢主导动力学行为限制在低维流形上,而快动力学行为对IM上的动力学行为做出瞬时响应。分解的慢/快动态和制定的AIM是通过只利用控制方程。对初始非预混的燃料-空气混合物在强迫各向同性湍流中的发展进行了直接数值模拟(DNS)。改变反应速率参数以允许不同水平的熄灭和重燃。在捕捉不同的火焰行为的AIM性能进行评估的先验和后验。结果表明,AIM捕获的火焰,包括熄灭和重燃的动态。此外,AIM提供标量耗散率,反应标量的混合时间,以及非线性项的封闭,而无需任何额外的建模。AIM公式被认为是有前途的,并提供了一种新的方法来模拟湍流燃烧。

英文摘要:

The theory of inertial manifolds (IM) is used to develop reduced-order models of turbulent combustion. In this approach, the dynamics of the system are tracked in a low-dimensional manifold determined in-situ without invoking laminar flame structures or statistical assumptions about the underlying turbulent flow. The primary concept in approximate IM (AIM) is that slow dominant dynamical behavior of the system is confined to a low-dimension manifold, and fast dynamics respond to the dynamics on the IM instantaneously. Decomposition of slow/fast dynamics and formulation of an AIM is accomplished by only exploiting the governing equations. Direct numerical simulations (DNS) of initially non-premixed fuel-air mixtures developing in forced isotropic turbulence have been carried out to investigate the proposed model. Reaction rate parameters are varied to allow for varying levels of extinction and reignition. The AIM performance in capturing different flame behaviors is assessed both a priori and a posteriori. It is shown that AIM captures the dynamics of the flames including extinction and reignition. Moreover, AIM provides scalar dissipation rate, mixing time for reactive scalars, and closures for nonlinear terms without any additional modeling. The AIM formulation is found promising, and provides a new approach to modeling turbulent combustion.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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