In this paper, we propose a novel ROM stabilization strategy for under-resolved convection-dominated flows, the approximate deconvolution Leray ROM (ADL-ROM). The new ADL-ROM introduces AD as a new means to increase the accuracy of the classical Leray ROM (L-ROM) without degrading its numerical stability. We also introduce two new AD ROM strategies: the Tikhonov and van Cittert methods. Our numerical investigation for convection-dominated systems shows that, when the filter radius is relatively large, the new ADL-ROM is more accurate than the standard L-ROM. Furthermore, the new ADL-ROM is less sensitive with respect to model parameters than L-ROM.

在本文中，我们针对未解析的对流主导流提出了一种新颖的 ROM 稳定策略，即近似反卷积 Leray ROM (ADL-ROM)。新的 ADL-ROM 引入 AD 作为一种新方法来提高经典 Leray ROM (L-ROM) 的精度，而不会降低其数值稳定性。我们还引入了两种新的 AD ROM 策略：Tikhonov 和 van Cittert 方法。我们对对流主导系统的数值研究表明，当滤波器半径相对较大时，新型 ADL-ROM 比标准 L-ROM 更准确。此外，新的 ADL-ROM 对模型参数的敏感性不如 L-ROM。