Author(s): A. Verwey; J. H. Yu

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Keywords: No Keywords

Abstract: A new implicit finite difference scheme for water hammer simulations is tested which is third- order accurate in its truncation error. The scheme uses only two adjacent grid points in space on a non-staggered grid and is defined on three levels in time. This definition gives it the advantage of a simple solution algorithm and the preservation of the high-order characteristics, even at sections adjacent to the pipe ends. The scheme allows for the use of varying grid steps along a pipe or along multiply connected pipe networks, without falsification of the wave celerities. This property is of particular importance for studies of resonance conditions. In principle, the scheme is unconditionally stable. The elimination of the most important phase errors turn this scheme into a viable instrument for water hammer computations in pipe systems, allowing also for a combination with slow transient simulations. The scheme and its solution algorithm have further special advantages when implemented in an object-oriented programming environment.

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Year: 1993