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Problem adapted reduced models basedon Reaction–Diffusion Manifolds (REDIMs)

机译：基于反应扩散歧管（Redims）的效果改编模型改编

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In this work a novel modification of the REDIM method is presented. The method follows the main concept of decomposition of time scales. It is based on the assumption of existence of invariant slow manifolds in the thermo-chemical composition space (state space) of a reacting flow. A central point of the current modification is its capability to include both transport and thermo-chemical processes and their coupling into the definition of the reduced model. This feature makes the method more problem oriented, and more accurate in predicting the detailed system dynamics. The manifold of the reduced model is approximated by applying the so-called invariance condition together with repeated integrations of the reduced model in an iterative way. The latter is needed to improve the estimate of gradients of the reduced model parameters (coordinates which define the reduced manifold locally). To verify the approach onedimensional stationary laminar methane/air and syngas/air flames are investigated. In particular, it is shown that the adaptive REDIM method recovers the full stationary system dynamics governed by detailed chemical kinetics and the molecular transport in the case of a one dimensional reduced model and, therefore, includes the so-called flamelet method as a limiting case.

机译：在这项工作中，提出了一种新的REDIM方法修改。该方法遵循时间尺度分解的主要概念。它基于在反应流动的热化学成分空间（状态空间）中不变慢歧管的存在的假设。电流修改的中心点是其能力，包括传输和热化学过程及其耦合到降低模型的定义中。此功能使该方法更具问题导向，更准确地预测详细的系统动态。通过以迭代方式将所谓的不变性条件与减少模型的重复集成一起应用所谓的不变性条件，近似模型的歧管近似。需要后者来改善减少模型参数的梯度的估计（坐标，该坐标在本地限定歧管的减小的歧管）。为了验证接近的折叠式固定式层状甲烷/空气和合成气/空气火焰。特别地，示出了自适应REDIM方法通过详细的化学动力学和一个尺寸减少模型的情况下的分子传输恢复全固定系统动力学，因此包括所谓的刚刚作为限制壳体。

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《Combustion Institute conference》|2009年||共8页
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V. Bykov; U. Maas;
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1. REDIM reduced modeling of quenching at a cold wall including heterogeneous wall reactions [J] . Strassacker C., Bykov V., Maas U. International Journal of Heat and Fluid Flow . 2018,第FEBa期

机译：REDIM减少了冷壁淬火的建模，包括异质壁反应
2. Implementation of REDIM reduced chemistry to model an axisymmetric laminar diffusion methane-air flame [J] . de Almeida Konzen P.H., Richter T., Riedel U., Combustion theory and modelling . 2011,第3期

机译：REDIM还原化学方法的实施，以对轴对称层流扩散甲烷-空气火焰建模
3. Implementation of REDIM reduced chemistry to model an axisymmetric laminar diffusion methane-air flame [J] . Pedro Henrique de Almeida Konzen Thomas Richter Uwe Riedel Ulrich Maas Combustion Theory and Modelling . 2011,第3期

机译：REDIM还原化学方法的实施，以对轴对称层流扩散甲烷-空气火焰建模
4. Problem adapted reduced models basedon Reaction–Diffusion Manifolds (REDIMs) [C] . V. Bykov, U. Maas Proceedings of the Combustion Institute . 2009

机译：基于反应扩散歧管（REDIM）的问题自适应简化模型
5. A Skew-product decomposition of diffusions on a manifold equipped with a group action, A Lorentz model with variable density in a conservative force field, and Reconstruction of a manifold from the intrinsic metric of an associated Markov chain. [D] . Wayman, Eric Stephen. 2014

机译：配备群作用的流形上扩散的偏积分解，保守力场中密度可变的Lorentz模型以及从相关马尔可夫链的内在度量重构流形。
6. A computational method for the coupled solution of reaction–diffusion equations on evolving domains and manifolds: Application to a model of cell migration and chemotaxis [O] . G. MacDonald, J.A. Mackenzie, M. Nolan, -1

机译：演化域和流形上反应扩散方程耦合解的一种计算方法：在细胞迁移和趋化性模型中的应用
7. Problem adapted reduced models based on Reaction–Diffusion Manifolds (REDIMs) [O] . V. Bykov, U. Maas 2009

机译：基于反应扩散歧管（Redims）的效果改编模型改编

Problem adapted reduced models basedon Reaction–Diffusion Manifolds (REDIMs)

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