ON THE MODELING OF WALL-LIQUID IMPACT INTERACTION
Two known approaches to modeling of wall-liquid impact interactions are compared. The first one is based on the mass, momentum, and total energy conservation together with the stiffened gas equation of state. The second (isentropic) one uses only the mass and momentum conservation along with the Tait equation of state. The main attention is paid to the initial quasi-1D and advanced 2D phases of the first stage of the impact with a shock wave attached to the wall, and to the parameters of the transition to the second stage with lateral liquid spreading. Two modifications of well-known Heymann theory are presented that correspond to the mentioned approaches. The theory is based on the experimental data, but it is often used for validating numerical methods without proper justification. It is shown that at relatively low impact velocity, both approaches give close results. With increase of the impact velocity, the discrepancy increases. For some constants of the equation of state, the results of the isentropic approach can be closer to Heymann theory than the results of the approach based on total energy conservation. Thus, in the cases, when the total energy and entropy conservation solutions significantly differ, the modification corresponding to the Heymann theory should be used for validating the numerical solution.