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...
In highly scattering regimes, the transport equation with anisotropic boundary conditions has a limi...
Water hammer concerns the generation, propa-gation, reflection and damping of pressure waves in liqu...
This two-part paper investigates key parameters that may affect the pressurewaveform predicted by th...
First- and second-order explicit finite volume (FV) Godunov-type schemes for water hammer problems a...
Here, recent developments in the key numerical approaches to water hammer modelling are summarized a...
The transient flow in pipe networks is represented by a pair of quasi-linear hyperbolic partial diff...
Water hammer concerns the generation, propagation, reflection and damping of pressure waves in liqui...
This dissertation involves mathematical models of water flow in a pipeline system. The topic has bee...
A numerical model has been established in order to simulate the propagation of pressure waves in wat...
In water distribution network instantaneous changes in valve and pump settings introduce jumps and s...
A numerical model has been established in order to simulate the propagation of pressure waves into w...
In this project, the numeric solution of a system of non-linear hyperbolic PDE’s is analyzed. Parti...
Shallow water equations (briefly, SWE) provide a model to describe fluid dynamical processes of vari...
We consider the numerical properties of approximation schemes for a model that simulates water trans...
In this paper, the main features and performances of a new numerical scheme, ILILPM (Improved Locall...
In highly scattering regimes, the transport equation with anisotropic boundary conditions has a limi...
Water hammer concerns the generation, propa-gation, reflection and damping of pressure waves in liqu...
This two-part paper investigates key parameters that may affect the pressurewaveform predicted by th...
First- and second-order explicit finite volume (FV) Godunov-type schemes for water hammer problems a...
Here, recent developments in the key numerical approaches to water hammer modelling are summarized a...
The transient flow in pipe networks is represented by a pair of quasi-linear hyperbolic partial diff...
Water hammer concerns the generation, propagation, reflection and damping of pressure waves in liqui...
This dissertation involves mathematical models of water flow in a pipeline system. The topic has bee...
A numerical model has been established in order to simulate the propagation of pressure waves in wat...
In water distribution network instantaneous changes in valve and pump settings introduce jumps and s...
A numerical model has been established in order to simulate the propagation of pressure waves into w...
In this project, the numeric solution of a system of non-linear hyperbolic PDE’s is analyzed. Parti...
Shallow water equations (briefly, SWE) provide a model to describe fluid dynamical processes of vari...
We consider the numerical properties of approximation schemes for a model that simulates water trans...
In this paper, the main features and performances of a new numerical scheme, ILILPM (Improved Locall...
In highly scattering regimes, the transport equation with anisotropic boundary conditions has a limi...
Water hammer concerns the generation, propa-gation, reflection and damping of pressure waves in liqu...
This two-part paper investigates key parameters that may affect the pressurewaveform predicted by th...