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首页> 外文期刊>Journal of Computational Physics >A robust numerical model for premixed flames with high density ratios based on new pressure correction and IMEX schemes
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A robust numerical model for premixed flames with high density ratios based on new pressure correction and IMEX schemes

机译：基于新的压力校正和IMEX方案的高密度比预混火焰的稳健数值模型

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摘要

In this study we present a model for the interaction of premixed flames with obstacles in a channel flow. Although the flow equations are solved with Direct Numerical Simulation using a low Mach number approximation, the resolution used in the computation is limited (～1. mm) hence the inner structure of the flame and the chemical scales are not solved. The species equations are substituted with a source term in the energy equation that simulates a one-step global reaction. A level set method is applied to track the position of the flame and its zero level is used to activate the source term in the energy equation only at the flame front. An immersed boundary method reproduces the geometry of the obstacles. The main contribution of the paper is represented by the proposed numerical approach: an IMEX (implicit-explicit) Runge-Kutta scheme is used for the time integration of the energy equation and a new pressure correction algorithm is introduced for the time integration of the momentum equations. The approach presented here allows to calculate flames which produce high density ratios between burnt and unburnt regions. The model is verified by simulating first simple solutions for one- and two-dimensional flames. At last, the experiments performed by Masri and Ibrahim with square and rectangular bodies are calculated.
机译：在这项研究中，我们提出了一种预混火焰与通道流中的障碍物相互作用的模型。尽管可以使用低马赫数近似值通过直接数值模拟来求解流动方程，但计算中使用的分辨率有限（〜1。mm），因此无法解决火焰的内部结构和化学垢。物种方程式被能量方程式中的源项替代，该源项模拟一个一步的全局反应。应用级别设置方法来跟踪火焰的位置，并且使用其零级别仅在火焰前沿激活能量方程中的源项。浸入边界法可再现障碍物的几何形状。本文的主要贡献由提出的数值方法表示：IMEX（隐式-显式）Runge-Kutta方案用于能量方程的时间积分，并且引入了新的压力校正算法用于动量的时间积分。方程。这里介绍的方法允许计算在燃烧区域和未燃烧区域之间产生高密度比的火焰。通过模拟一维和二维火焰的第一个简单解来验证该模型。最后，计算了Masri和Ibrahim对方形和矩形物体进行的实验。

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