Spline Interpolations for Water Hammer Analysis

by I. A. Sibetheros, Univ of Texas at Austin, Austin, TX, USA,
E. R. Holley, Univ of Texas at Austin, Austin, TX, USA,
J. M. Branski, Univ of Texas at Austin, Austin, TX, USA,



Document Type: Proceeding Paper

Part of: Hydraulic Engineering

Abstract:

The method of characteristics (MOC) with spline polynomials for interpolations was investigated for numerical water hammer analysis. The overall accuracy is significantly improved compared to the MOC with linear interpolations or to second-order explicit finite difference techniques. A new error analysis quantifies numerical attenuation and dispersion in a systematic way.

Subject Headings: Numerical analysis | Water hammer | Spline (mathematics) | Polynomials | Numerical methods | Mathematics | Linear functions

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