Approximation of the non-linear water hammer problem by a Lax-Wendroff finite difference scheme

Autor:	Carrillo-Lincopi, Hugo, Waters, Alden, Xu, Teke
Rok vydání:	2022
Předmět:	Mathematics - Numerical Analysis Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	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. Comment: 30 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.00112 Zobrazit plný text záznamu View this record from Arxiv