网络化守恒律中心格式的数值松弛极限和输出边
Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws
摘要：
最近推出的网络守恒律的计划进行了分析，在各种实验。该方案利用了一种新的松弛方法，该方法控制网络的耦合条件，并且不需要在节点处求解黎曼问题。我们数值比较的动力学的解决方案所获得的方案，使用一个经典的耦合条件。特别是，我们调查的情况下，两个外出的边缘在交通流的Lighthill-Whitham-Richards模型和Buckley-Leverett模型的两相流。此外，我们通过将该方案与1比1网络中松弛极限之前的初步形式进行比较，数值研究了该方案的渐进保持性。
英文摘要：
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.
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