Abstract: The time‐marching approach (TMA) for determining steady‐state flows as the asymptotic limit of transient flows in pipelines has been improved. It is shown that the rate of convergence to steady state is increased by reducing ...

Abstract: A method, based on a rigid water column model, for analyzing slow transients in pipe networks is graph‐theoretically formulated using incidence matrices. The formulation is made to facilitate its implementation on digital ...

Abstract: The incidence method, graph‐theoretically formulated using incidence matrices, is useful as a rigid water‐column model for analyzing slow transients in complex pipeline systems. This incidence method is enhanced by state‐space ...

Abstract: HOW efficiently a second‐order model is handled is analysed for simplified equations governing waterhammer appearance in piping systems. A series solution method and a Newton‐Raphson method with new calculation steps are ...

Abstract: Explicit analytical assessments of numerical errors in solutions of decaying standing waves in pipes are obtained using analyses based on the fixed-grid method of characteristics and are used as a quantitative basis for ...

Abstract: Analytical predictions of numerical errors in method of characteristics analyses using time-line interpolation in a rectangular grid are obtained for (1) both time-line and space-line interpolation and (2) both rectangular ...

Abstract: An exact method of assessing numerical errors in analyses of unsteady flows in pipe networks is introduced. The assessment is valid for fixed-grid method of characteristics analyses using time-line interpolations. A pipe ...