论文标题
使用边界变化减小（BVD）算法的高阶中央风风捕获方案
High-Order Central-Upwind shock capturing scheme using a Boundary Variation Diminishing (BVD) Algorithm
论文作者
论文摘要
在本文中，我们提出了一种基于边界变化减小（BVD）重建的新型混合非线性显式 - 抗流型方案。在我们的方法中，我们通过BVD算法结合了非截止性的六阶中央紧凑型插值和五阶单调性保留方案（MP5）。对于平滑的解决方案，BVD重建选择了最高级可能的插值，这是中心的，即当前方法中的非疾病，对于不连续性，该算法选择单调方案。该方法为文献中现有的自适应前风中心方案提供了替代方案。使用目前的方法进行了几个数值示例，这表明当前方法能够解决小规模的流量特征，并且具有捕获与MP5方案的尖锐不连续性相同的能力。
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.
