论文标题
通过松懈的有限差异方案，非线性水锤问题的近似
Approximation of the non-linear water hammer problem by a Lax-Wendroff finite difference scheme
论文作者
论文摘要
在上游阀突然关闭的情况下，我们研究了水锤问题，并且我们考虑了一种宽松的有限差异方案，以便获得该问题的数值解决方案。为了确定该方案与原始情况的近似值，我们严格地显示了一些属性，例如在合理条件下该方案的一致性，稳定性和弱收敛性。此外，我们提供了一些数值模拟，以显示数值方法的某些特征。
We study the water hammer problem in the case of a sudden closing of a valve upstream, and we consider a Lax-Wendroff finite difference scheme in order to obtain a numerical solution of this problem. In order to establish the approximation of this scheme to the original case, we rigorously show some properties such as consistency, stability and weak convergence of the scheme under reasonable conditions. In addition, we present some numerical simulations in order to show some features of the numerical method.
