In this paper we investigate the basic features of shock waves propagation in freshwater in the framework of a hyperbolic model consisting of the one-dimensional Euler equations closed by means of polynomial equations of state extracted from experimental tabulated data available in the literature (Sun et al. in Deep-Sea Res. I 55:1304-1310, 2008). The Rankine-Hugoniot equations are numerically solved in order to determine the Hugoniot locus representing the set of perturbed states that can be connected through a k-shock to an unperturbed state. The results are found to be consistent with those previously obtained in the framework of the EQTI model by means of a modified Boussinesq equation of state.
Andrea Mentrelli, Tommaso Ruggeri (2014). The Propagation of Shock Waves in Incompressible Fluids: The Case of Freshwater. ACTA APPLICANDAE MATHEMATICAE, 132, 427-437 [10.1007/s10440-014-9915-y].
The Propagation of Shock Waves in Incompressible Fluids: The Case of Freshwater
MENTRELLI, ANDREA;RUGGERI, TOMMASO ANTONIO
2014
Abstract
In this paper we investigate the basic features of shock waves propagation in freshwater in the framework of a hyperbolic model consisting of the one-dimensional Euler equations closed by means of polynomial equations of state extracted from experimental tabulated data available in the literature (Sun et al. in Deep-Sea Res. I 55:1304-1310, 2008). The Rankine-Hugoniot equations are numerically solved in order to determine the Hugoniot locus representing the set of perturbed states that can be connected through a k-shock to an unperturbed state. The results are found to be consistent with those previously obtained in the framework of the EQTI model by means of a modified Boussinesq equation of state.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
