Anselm Berg

Second Order Methods for the Simulation of Pressure Waves and Cavitation of Water

The simulation of pressure waves plays an important role in the development of modern hydraulic tools. Due to its strong influence on the speed of sound cavitation has a great influence on this nonlinear wave propagation. In this presentation we analyze some second order methods used for the simulation of these phenomena. In particular we show that some in the context of gas dynamics well known methods refuse to perform the desired simulations while others give reliable results.

Simulation of Cavitation in Thermodynamic Equilibrium

A method for the numerical simulation of cavitation phenomena is described. Thereby, a homogeneous cavitation model based on a thermodynamic equilibrium model of liquid and steam is considered. Besides a brief introduction into the mathematical model described in [1] we focus on the discretization tech- nique. The ability of the scheme is proven by numerical experiments.