论文标题
网络保护法的中心计划中的数值放松限制和外向
Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws
论文作者
论文摘要
在各种实验中分析了最近引入的用于网络保护定律的方案。该方案利用一种新的放松方法来控制网络的耦合条件，并且不需要在节点处解决riemann问题的解决方案。我们从数值上比较了该方案获得的解决方案的动力学与使用经典耦合条件获得的解决方案。特别是，我们研究了流量流的Lighthill-Whitham-Richards模型以及两个相流的Buckley-Leverett模型中的两个外部边缘的情况。此外，我们通过将该方案的初步形式比较在1到1网络中的放松限制之前将其比较它的初步形式来研究该方案的渐近保留性能。
A recently introduced scheme for networked conservation laws is analyzed in various experiments. The scheme makes use of a novel relaxation approach that governs the coupling conditions of the network and does not require a solution of the Riemann problem at the nodes. We numerically compare the dynamics of the solution obtained by the scheme to solutions obtained using a classical coupling condition. In particular, we investigate the case of two outgoing edges in the Lighthill-Whitham-Richards model of traffic flow and in the Buckley-Leverett model of two phase flow. Moreover, we numerically study the asymptotic preserving property of the scheme by comparing it to its preliminary form before the relaxation limit in a 1-to-1 network.
