In this paper, we propose a novel modification to the WENO-family schemes to reduce its intrinsic dissipation. In this work, we focus on the WENO5 scheme, which is rewritten in terms of a central plus a dissipative part, and then, the dissipation is controlled based on the flow physics. This is achieved by using the automatic dissipation adjustment (ADA) method in an a posteriori approach. This methodology allows us to greatly increase the accuracy of the original scheme at the same time ensure the robustness of the numerical method. The accuracy and robustness of the proposed scheme are tested by several selected numerical benchmarks.

中文翻译：

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具有自动耗散调整功能的低耗散WENO方案

在本文中，我们提出了对WENO系列方案的新颖修改，以减少其固有耗散。在这项工作中，我们专注于WENO5方案，该方案以中心加耗散部分的形式重写，然后基于流物理学控制耗散。这是通过在后验方法中使用自动耗散调整（ADA）方法实现的。这种方法学使我们可以大大提高原始方案的准确性，同时确保数值方法的鲁棒性。通过几个选定的数字基准测试了该方案的准确性和鲁棒性。