Abstract This paper extends proper orthogonal decomposition reduced order modeling to flows governed by double diffusive convection, which models flow driven by two potentials with different rates of diffusion. We propose a reduced model based on proper orthogonal decomposition, present a stability and convergence analyses for it, and give results for numerical tests on a benchmark problem which show it is an effective approach to model reduction in this setting.

中文翻译：

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具有双扩散对流的 Darcy-Brinkman 方程的 POD-ROM

摘要 本文将适当的正交分解降阶建模扩展到由双扩散对流控制的流动，该模型对由具有不同扩散速率的两个势能驱动的流动进行建模。我们提出了一个基于适当正交分解的简化模型，对其进行了稳定性和收敛性分析，并给出了基准问题的数值测试结果，表明它是在这种情况下模型简化的有效方法。