On the solution of conservation equations for hydraulic pipe flow with cavitation

摘要

This paper addresses the numerical simulation of non-linear wave propagation in hydraulic pipe flow with cavitation. We compare the results of a method of characteristics scheme and a Godunov-type scheme with the exact solution of a Riemann problem including cavitation of the fluid. The HLLE-Riemann solver of the Godunov-type scheme is adapted to the special conditions of cavitated fluid flow with abrupt changes in the speed of sound and other properties of the fluid. Shock waves occur with cavitated fluid flow. The comparison of the two schemes shows that these shock waves cannot be calculated adequately and efficiently with the method of characteristic scheme, but are well resolved with the adapted Godunov-type scheme. The treatment of general boundary conditions and the source terms within the schemes are tested with the example of a simplified injection system.