Boundary condition treatment in 2×2 systems of propagation equations

  • Guinot, Vincent
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Publication date
June 1998
Publisher
Wiley

Abstract

Numerical modelling of the water hammer phenomenon involves solving a 2×2 system of propagation equations numerically. In the present paper, this system is solved using the Piecewise Parabolic Method (PPM) Scheme, a higher-order extension of the Godunov Method. To reach high-order discretization accuracy, the PPM scheme uses six points in space to solve the advection equation. Hence, treatment of boundary conditions—which proves to be of importance to water hammer modelling—is not straightforward. Several options for the handling of boundary conditions are presented herein, and only one combination among nine is shown to provide good results. This shows that even very accurate numerical schemes may be of poor help in problem solving if boun...

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