论文标题
使用高斯节点的通量分化配方
A flux-differencing formulation with Gauss nodes
论文作者
论文摘要
在这项工作中，我们提出了带有高斯节点DGSEM的伸展衍生物算子的扩展，并证明这种配方等于其通常的矩阵对应物。在其他可能的应用中，这允许扩展已经为高斯节点开发的稳定方法到高斯节点，还确保了诸如熵稳定性之类的属性，同时保持其提高的精度。
In this work, we propose an extension of telescopic derivative operators for the DGSEM with Gauss nodes, and we prove that this formulation is equivalent to its usual matrix counterpart. Among other possible applications, this allows extending the stabilization methods already developed for Gauss-Lobatto nodes to Gauss nodes, also ensuring properties such as entropy stability while retaining their improved accuracy.
