论文标题
带有修饰的幽灵流体方法的混合WENO方法，用于可压缩的两种流量问题
A hybrid WENO method with modified ghost fluid method for compressible two-medium flow problems
论文作者
论文摘要
在本文中，我们开发了一种简化的混合加权基本上非振荡（WENO）方法，并结合了修改后的幽灵流体方法（MGFM）[28]，以模拟可压缩的两种中等流量问题。 MGFM可以通过预测的接口状态来定义幽灵流体状态，从而将两个中等流量问题转变为两个单一案例，这使材料接口“无形”。对于单个培养基案例，我们通过识别重建多项式的极端点的区域与混合WENO方案[50]相同，从而自动适应了线性上风方案和WENO方案。我们只需要根据零点存在定理知道极端点的区域，而不是计算其确切位置，这对于实现并节省了计算时间更简单。同时，它仍然保持稳健性并具有高效率。对一维和二维两维中心问题的广泛数值结果进行了证明，以证明该方法的良好性能。
In this paper, we develop a simplified hybrid weighted essentially non-oscillatory (WENO) method combined with the modified ghost fluid method (MGFM) [28] to simulate the compressible two-medium flow problems. The MGFM can turn the two-medium flow problems into two single-medium cases by defining the ghost fluids status in terms of the predicted the interface status, which makes the material interface "invisible". For the single medium flow case, we adapt between the linear upwind scheme and the WENO scheme automatically by identifying the regions of the extreme points for the reconstruction polynomial as same as the hybrid WENO scheme [50]. Instead of calculating their exact locations, we only need to know the regions of the extreme points based on the zero point existence theorem, which is simpler for implementation and saves computation time. Meanwhile, it still keeps the robustness and has high efficiency. Extensive numerical results for both one and two dimensional two-medium flow problems are performed to demonstrate the good performances of the proposed method.
