Direct calculations of cavitating flows by the space-time CE/SE method

Abstract

This paper reports one-and two-dimensional simulations of cavitating flows by the Space-Time Conservation Element and Solution Element (CE/SE) method. A continuum cavitation model based on specifying the speed of sound of two-phase flows is employed. The CE/SE method is a viable CFD method for flows at wide range of Mach numbers. The method is explicit and is suitable for time accurate simulations. Moreover, without using a Riemann solver or a reconstruction procedure, the logic and operation count is simple and efficient for sharp resolution of evolving liquid/vapor interfaces. To validate the present model, three cavitating flows are simulated: the one-dimensional simulation of the waterhammer effect, flows over a hydrofoil, and flows through a high-pressure fuel injector. Numerical results show salient features of cavitations commonly observed in experiments, including, reentrant jet, hydraulic flip, and cyclical cavitations. The numerical results compare favorably with previously reported data.

The simulation of cavitating flows induced by underwater shock and free surface interaction

“…Thus, one set of differential equations similar to the single-phase flow is used to describe the whole fluid motion. Several one-fluid models have been developed to model the unsteady cavitation such as the cut-off model [2], vacuum model [23], Schmidt model [22] and Qin model [17]. The main characteristics and limitations of these models have been analyzed in detail in our previous work [11,26] in which the modified Schmidt model [26] and isentropic one-fluid model [11] are developed to study the unsteady cavitation occurring in pipe flow (water hammer problem) and underwater explosion near structure.…”

Application of the CE/SE method to two‐dimensional flow in fluid film bearings

“…Over the past several years it has been utilized in a number of fluid flow applications that involve shock waves, contact discontinuities, acoustic waves, vortices and chemical reactions. One of its main features is that it can simultaneously capture small and large discontinuities (such as sound waves and shock waves) without introducing numerical oscillations in the solution (Chang et al , 1999; Qin et al , 2001; Wang et al , 2000). Accordingly, this new method is an excellent candidate to be applied to the flow in cavitated bearings.…”