A trend towards the increasing use of Adaptive Mesh Refinement (AMR) algorithms to simulate combustion processes is observed in the recent literature. AMR is attractive as it enables the physical phenomena of interest to be tracked by the numerical mesh, reducing the computational cost drastically. It is particularly efficient for combustion as small computational cells are needed very locally to resolve the flame structure. However, the questions arising from the coupling between AMR and the turbulent flame propagation have rarely been investigated so far. Indeed, the incomplete cascading of turbulent structures from a relatively coarse mesh used to solve the flow to a finer mesh solving the flame has implications on the turbulent combustion model which must be considered. In the present paper, a strategy for coupling AMR with the Thickened Flame Model (TFM) is proposed. It is shown that, under conditions relevant to industrial cases, the standard TFM model strongly under-estimates the turbulent flame propagation when the effects of AMR is not taken into account. A new model, AMR-E, is introduced to take this effect into account. The behavior of the model is first analyzed on an a priori 1D-study and is consequently validated on a 3-D turbulent flame propagation in Homogeneous Isotropic Turbulence (HIT). In particular, it is shown that the presented model has a similar behavior for different AMR refinement levels in the flame front.

在最近的文献中观察到了越来越多的使用自适应网格细化（AMR）算法来模拟燃烧过程的趋势。AMR具有吸引力，因为它可以使感兴趣的物理现象通过数字网格进行跟踪，从而大大降低了计算成本。这对于燃烧特别有效，因为非常局部需要较小的计算单元来解析火焰结构。但是，迄今为止，很少研究由AMR和湍流火焰传播之间的耦合引起的问题。实际上，湍流结构从用于解决流动的相对粗糙的网格到解决火焰的较细网格的不完全级联对必须考虑的湍流燃烧模型有影响。在本文中，提出了一种将AMR与加厚火焰模型（TFM）耦合的策略。结果表明，在与工业案例相关的条件下，当不考虑AMR的影响时，标准TFM模型强烈低估了湍流火焰的传播。考虑到这种影响，引入了一种新模型AMR-E。首先在先验1D研究中分析模型的行为，然后在均质各向同性湍流（HIT）中以3D湍流火焰传播对模型的行为进行验证。特别地，显示出，对于火焰锋中的不同AMR细化水平，所提出的模型具有相似的行为。如果不考虑AMR的影响，标准TFM模型会严重低估湍流火焰的传播。考虑到这种影响，引入了一种新模型AMR-E。首先在先验1D研究中分析模型的行为，然后在均质各向同性湍流（HIT）中以3D湍流火焰传播对模型的行为进行验证。特别地，显示出，对于火焰锋中的不同AMR细化水平，所提出的模型具有相似的行为。如果不考虑AMR的影响，标准TFM模型会严重低估湍流火焰的传播。考虑到这种影响，引入了一种新模型AMR-E。首先在先验1D研究中分析模型的行为，然后在均质各向同性湍流（HIT）中以3D湍流火焰传播对模型的行为进行验证。特别地，显示出，对于火焰锋中的不同AMR细化水平，所提出的模型具有相似的行为。