论文标题
几种改进的自适应映射加权本质上是双曲线保护定律的非振荡计划
Several improved adaptive mapped weighted essentially non-oscillatory scheme for hyperbolic conservation law
论文作者
论文摘要
映射加权基本上非振荡方案的计算精度的决定性因子是映射函数中心区域的宽度。通过对经典映射的WENO方案的分析，结果显示了由本地操作员在其分母中确定的映射函数的中心范围的宽度。用对称的功能代替Weno-Aim的本地运营商，我们获得了两个新的自适应映射映射的WENO计划，Weno-Aims和Weno-Aima。同样，我们通过使用这些本地操作员来改善WENO-RM260和WENO-PM6，并组成自适应WENO-RM260和自适应WENO-PM6。理论和数值结果表明，本文组成的当前自适应映射的WENO方案的性能优于Weno-Aim，Weno-RMM260和Weno-PM6，对于一维问题和二维问题。
The decisive factor for the calculation accuracy of the mapped weighted essentially non-oscillatory scheme is the width of the center region of the mapping function. Through analysis of the classical mapped WENO schemes, the results show the width of the central range of the mapping function determined by the local operator in its denominator. Substituting the local operator in WENO-AIM with a symmetric one and an asymmetric function, we get two new adaptive mapped WENO schemes, WENO-AIMS and WENO-AIMA. Similarly, we improve WENO-RM260 and WENO-PM6 by using these local operators, and composed adaptive WENO-RM260 and adaptive WENO-PM6. Theoretical and numerical results show the present adaptive mapped WENO schemes composed in this paper perform better than WENO-AIM, WENO-RM260, and WENO-PM6 for one- and two-dimensional problems.
