论文标题
基于有限差分的仿真和气体网络的伴奏优化
Finite-difference-based simulation and adjoint optimization of gas networks
论文作者
论文摘要
天然气网络的稳定运行是重要的优化目标。尽管对于此任务，通常使用有限的体积方法，但我们引入了一种新的有限差异方法。通过零件配方的总和进行空间离散化，我们在管道之间获得了明确的通量。这允许简单明了的公式在节点处的耦合条件。由此，我们简单而透明地得出网络的伴随方程。最终的直接和伴随方程在数值上是有效且易于实现的。通过优化两个样本气网网络来证明该方法。
The stable operation of gas networks is an important optimization target. While for this task commonly finite volume methods are used, we introduce a new finite difference approach. With a summation by part formulation for the spatial discretization, we get well-defined fluxes between the pipes. This allows a simple and explicit formulation of the coupling conditions at the node. From that, we derive the adjoint equations for the network simply and transparently. The resulting direct and adjoint equations are numerically efficient and easy to implement. The approach is demonstrated by the optimization of two sample gas networks.
