论文标题
Saint-Venant系统的三角形网格上的自适应中央风格方案
Adaptive Central-Upwind Scheme on Triangular Grids for the Saint-Venant System
论文作者
论文摘要
在这项工作中，我们开发了一种适用于浅水方程的非结构化三角电网的良好平衡和积极性的中央风方案。数值方法是[{\ sc liu {\ em等人}}，j。 comp。 Phys，374（2018），第213-236页。作为自适应中央风算法的一部分，我们为有效的网格细化策略获得了局部后验误差估计器。在许多浅水模型的挑战性测试中，证明了新的自适应中央风向方案的准确性，高分辨率和效率。
In this work, we develop a robust adaptive well-balanced and positivity-preserving central-upwind scheme on unstructured triangular grids for shallow water equations. The numerical method is an extension of the scheme from [{\sc Liu {\em et al.}},J. of Comp. Phys, 374 (2018), pp. 213 - 236]. As a part of the adaptive central-upwind algorithm, we obtain local a posteriori error estimator for the efficient mesh refinement strategy. The accuracy, high-resolution, and efficiency of the new adaptive central-upwind scheme are demonstrated on a number of challenging tests for shallow water models.
