论文标题
具有多个传输系统的基于优化的模态分解
Optimization-based modal decomposition for systems with multiple transports
论文作者
论文摘要
基于模式的模型还原用于降低高维系统的自由度，通常通过通过空间模式的线性组合来描述系统状态。在技术和科学应用中无处不在的运输统治现象通常需要大量的线性模式才能获得较小的表示误差。即使对于最简单的运输，这种困难源于纯粹空间模式的时间依赖性分解结构的不适当性。 在本文中，讨论了一种方法，该方法将流场分解为共同移动框架的几个字段，在此可以通过几种模式近似。分解方法被称为优化问题。讨论了不同的基于单数值的目标函数并与以前的配方相关。提供边界处理。分解应用于通用病例和燃烧物理学的技术相关流程配置。
Mode-based model-reduction is used to reduce the degrees of freedom of high dimensional systems, often by describing the system state by a linear combination of spatial modes. Transport dominated phenomena, ubiquitous in technical and scientific applications, often require a large number of linear modes to obtain a small representation error. This difficulty, even for the most simple transports, originates from the inappropriateness of the decomposition structure in time dependent amplitudes of purely spatial modes. In this article an approach is discussed, which decomposes a flow field into several fields of co-moving frames, where each one can be approximated by a few modes. The method of decomposition is formulated as an optimization problem. Different singular-value-based objective functions are discussed and connected to former formulations. A boundary treatment is provided. The decomposition is applied to generic cases and to a technically relevant flow configuration of combustion physics.
