In this paper, we present a novel hybrid nonlinear explicit-compact scheme for shock-capturing based on a boundary variation diminishing (BVD) reconstruction. In our approach, we combine a non-dissipative sixth-order central compact interpolation and a fifth-order monotonicity preserving scheme (MP5) through the BVD algorithm. For a smooth solution, the BVD reconstruction chooses the highest order possible interpolation, which is central, i.e. non-dissipative in the current approach and for the discontinuities, the algorithm selects the monotone scheme. This method provides an alternative to the existing adaptive upwind-central schemes in the literature. Several numerical examples are conducted with the present approach, which suggests that the current method is capable of resolving small scale flow features and has the same ability to capture sharp discontinuities as the MP5 scheme.

在本文中，我们提出了一种基于边界变化量递减（BVD）重构的新型混合非线性显式紧凑结构，用于冲击捕捉。在我们的方法中，我们通过BVD算法结合了非耗散的六阶中心紧致插值和五阶单调性保留方案（MP5）。对于平滑解决方案，BVD重建选择可能的最高阶插值，该插值是中心的，即在当前方法中无耗散，对于不连续性，算法选择单调方案。该方法为文献中现有的自适应迎风中心方案提供了一种替代方案。使用本方法进行了几个数值示例，