论文标题
熵稳定的不连续的Galerkin方法，用于网络和多维域的非线性保护定律
Entropy stable discontinuous Galerkin methods for nonlinear conservation laws on networks and multi-dimensional domains
论文作者
论文摘要
我们为多维域和由一维域构建的网络提出了一种高阶熵稳定的不连续的盖尔金（ESDG）方法，用于非线性保护定律。这些方法利用多维界面和网络连接的处理方法，它们在耦合熵稳定的离散化时保持熵稳定性。数值实验验证了所提出的方案的稳定性，并且与完全2D实现的比较证明了每种类型的连接处理的准确性。
We present a high-order entropy stable discontinuous Galerkin (ESDG) method for nonlinear conservation laws on both multi-dimensional domains and on networks constructed from one-dimensional domains. These methods utilize treatments of multi-dimensional interfaces and network junctions which retain entropy stability when coupling together entropy stable discretizations. Numerical experiments verify the stability of the proposed schemes, and comparisons with fully 2D implementations demonstrate the accuracy of each type of junction treatment.
