Author(s)

M. Ciccotelli, S. Sello & P. Molmaro

Abstract

The aim of this paper is to present a new and more suitable numerical scheme to solve efficiently the Allievi's equations governing the dynamics of fluids inside a pipe. The method arises from a proper combination of the Method Of Characteristics with a spline "shape preserving" interpolation and a nonlinear filtering procedure designed in order to eliminate the residual oscillations. 1 Introduction Problems of fluid-structure interaction or safety monitoring of penstocks need accurate and efficient numerical schemes for hydraulic transient computations. For the solution of these hyperbolic problems, the most common algorithm used is the well known "Method Of Characteristics" (MOC) because of its easy implementation as well as a low time consuming capability. Unfortunately with high gradients and discontinuities the accura

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