论文标题
具有地形的浅水矩方程的稳态和平衡的方案
Steady States and Well-balanced Schemes for Shallow Water Moment Equations with Topography
论文作者
论文摘要
在本文中，我们研究了浅水矩方程（包括底部地形）的稳态。我们基于线性矩方程得出了一个新的双曲线浅水矩模型，该模型允许对稳态进行简单评估。在证明了新模型的双波利度后，完全识别了稳态。采用了均衡的方案，用于新模型的特定结构，并允许在数值模拟中保留稳态。
In this paper, we investigate steady states of shallow water moment equations including bottom topographies. We derive a new hyperbolic shallow water moment model based on linearized moment equations that allows for a simple assessment of the steady states. After proving hyperbolicity of the new model, the steady states are fully identified. A well-balanced scheme is adopted to the specific structure of the new model and allows to preserve the steady states in numerical simulations.
