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

11/30/2022

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by   Hugo Carrillo-Lincopi, et al.

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We consider the water hammer problem by a sudden closing of a valve upstream, and we consider a Lax-Wendroff finite difference scheme in order to approximate the solution of this problem. We show consistency, stability and weak convergence of the scheme, and some numerical simulations in order to show some features of the numerical method.