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A spectral deferred correction strategy for low Mach number reacting flows subject to electric fields
Combustion Theory and Modelling ( IF 1.3 ) Pub Date : 2019-09-19 , DOI: 10.1080/13647830.2019.1668060
Lucas Esclapez 1 , Valentina Ricchiuti 1 , John B. Bell 1 , Marcus S. Day 1
Affiliation  

We propose an algorithm for low Mach number reacting flows subjected to electric field that includes the chemical production and transport of charged species. This work is an extension of a multi-implicit spectral deferred correction (MISDC) algorithm designed to advance the conservation equations in time at scales associated with advective transport. The fast and nontrivial interactions of electrons with the electric field are treated implicitly using a Jacobian-Free Newton Krylov approach for which a preconditioning strategy is developed. Within the MISDC framework, this enables a close and stable coupling of diffusion, reactions and dielectric relaxation terms with advective transport and is shown to exhibit second-order convergence in space and time. The algorithm is then applied to a series of steady and unsteady problems to demonstrate its capability and stability. Although developed in a one-dimensional case, the algorithmic ingredients are carefully designed to be amenable to multi-dimensional applications.

中文翻译:

电场作用下低马赫数反应流的谱延迟校正策略

我们提出了一种用于受电场影响的低马赫数反应流的算法,其中包括带电物质的化学产生和传输。这项工作是多隐式光谱延迟校正 (MISDC) 算法的扩展,旨在在与平流传输相关的尺度上及时推进守恒方程。电子与电场的快速且重要的相互作用使用雅可比自由牛顿 Krylov 方法隐式处理,为此开发了预处理策略。在 MISDC 框架内,这可以实现扩散、反应和介电弛豫项与对流传输的紧密而稳定的耦合,并显示出在空间和时间上的二阶收敛。然后将该算法应用于一系列稳态和非稳态问题,以证明其能力和稳定性。尽管是在一维情况下开发的,但算法成分经过精心设计,以适应多维应用。
更新日期:2019-09-19
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