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首页> 外文期刊>Journal of Computational Physics >Numerical simulation of premixed combustion using an enriched finite element method
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Numerical simulation of premixed combustion using an enriched finite element method

机译：预混合燃烧的富集有限元数值模拟

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摘要

In this paper we present a novel discretization technique for the simulation of premixed combustion based on a locally enriched finite element method (FEM). Use is made of the G-function approach to premixed combustion in which the domain is divided into two parts, one part containing the burned and another containing the unburned gases. A level-set or G-function is used to define the flame interface separating burned from unburned gases. The eXtended finite element method (X-FEM) is employed, which allows for velocity and pressure fields that are discontinuous across the flame interface. Lagrange multipliers are used to enforce the correct essential interface conditions in the form of jump conditions across the embedded flame interface. A persisting problem with the use of Lagrange multipliers in X-FEM has been the discretization of the Lagrange multipliers. In this paper the distributed Lagrange multiplier technique is adopted. We will provide results from a spatial convergence analysis showing good convergence. However, a small modification of the interface is required to ensure a unique solution. Finally, results are presented from the application of the method to the problems of moving flame fronts, the Darrieus-Landau instability and a piloted Bunsen burner flame.
机译：在本文中，我们提出了一种基于局部富集有限元方法（FEM）的用于模拟预混燃烧的离散化技术。使用G函数方法进行预混合燃烧，其中将区域分为两部分，一部分包含已燃烧的气体，另一部分包含未燃烧的气体。水平集或G函数用于定义火焰界面，将燃烧的气体与未燃烧的气体分隔开。采用了扩展的有限元方法（X-FEM），该方法允许在火焰界面上不连续的速度和压力场。拉格朗日乘数用于以跨越嵌入式火焰界面的跳跃条件的形式强制执行正确的基本界面条件。在X-FEM中使用拉格朗日乘数的一个持续存在的问题是拉格朗日乘数的离散化。本文采用分布式拉格朗日乘数技术。我们将提供空间收敛分析的结果，显示出良好的收敛。但是，需要对接口进行少量修改以确保唯一的解决方案。最后，从该方法的应用解决了移动火焰前沿，Darrieus-Landau不稳定性和本森燃烧器引燃火焰问题提出了结果。

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