V2EX reduced-order model

Reduced-Order Model

释义 Definition

Reduced-order model(降阶模型/低阶模型):一种用更少的变量或更低维度来近似描述复杂系统行为的数学/计算模型,目的是在尽量保持主要动态与精度的同时,显著降低计算成本与仿真时间(常用于流体力学、结构力学、控制、天气与工程优化等)。也常简称 ROM

发音 Pronunciation (IPA)

/rdust rdr mdl/

例句 Examples

We used a reduced-order model to speed up the simulation.
我们使用降阶模型来加速仿真。

To enable real-time control, the team built a reduced-order model that captures the dominant flow dynamics while ignoring minor fluctuations.
为了实现实时控制,团队构建了一个降阶模型:它抓住了流动的主导动力学,同时忽略了次要波动。

词源 Etymology

该术语由三部分构成:reduced(“减少的、简化的”)+ order(这里指“系统的阶数/维度/自由度数量”,常见于微分方程与控制理论)+ model(“模型”)。整体意思就是“把系统的阶数(维度)降低后的模型”。在工程与数值计算领域,常通过投影方法(如 POD)、平衡截断等手段,从高维“全阶模型(fullorder model)”得到“降阶模型”。

相关词 Related Words

文献与著作 Literary / Notable Works

  • Model Reduction and Approximation: Theory and Algorithms(Benner, Gugercin, Willcox 编)
  • Reduced-Order Modelling for Flow Control(相关学术专著/论文集常用标题)
  • Balanced Truncation Model Reduction(控制与系统领域经典主题,常见于教材与综述中)
  • SIAM ReviewJournal of Fluid MechanicsAIAA Journal 等期刊中关于 reduced-order model / ROM 的大量论文标题与正文用例
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