论文标题
通过Riemann不变的双曲机离散化
Hyperbolic Discretization via Riemann Invariants
论文作者
论文摘要
我们对模拟大型气体网络的数值方案感兴趣。典型的模型基于具有逼真气体常数的等熵Euler方程。该数值方案基于Riemann不变性及其相应数值驱动的保守变量的转换。所提出方法的一种新颖性是可以有效地离散网络节点点的边界和耦合条件的可能性。根据其性质，分析了原始离散化，以正确回收稳态以及解决可能的分析解决方案。与现有方法的比较显示了新方法的优势。
We are interested in numerical schemes for the simulation of large scale gas networks. Typical models are based on the isentropic Euler equations with realistic gas constant. The numerical scheme is based on transformation of conservative variables in Riemann invariants and its corresponding numerical dsicretization. A particular, novelty of the proposed method is the possbility to allow for an efficient discretization of the boundary and coupling conditions at nodal points of the network. The original discretization is analysed in view of its property to correctly recover steady states as well as to resolve possible analytic solutions. Comparisons with existing methods show the advantage of the novel method.
