Extension of decoupled finite particle method to simulate non-isothermal free surface flow

Abstract

In this paper we develop a decoupled finite particle method (DFPM) to simulate non-isothermal free surface flow. This method can not only promote the accuracy of kernel approximation, but also insure the computational efficiency comparing with some improved particle methods. To model the non-isothermal viscous fluid flow, the particle discretization of heat conduction is derived explicitly. The Rusanov flux is introduced to alleviate the random oscillation of pressure. A corrected dynamic boundary method with a soft repulsive model and combined with particle shifting technology is developed further to model the complex wall-boundary problem. The comprehensive particle model is validated firstly through solving the non-isothermal Couette flow and the high-speed injection molding of a holey cavity, which is compared with other numerical results or experiments. Then, we extend the present method to solve the 2D/3D droplet impacting onto micro multi-structured surface for the capacity of present boundary treatment. The convergence, computational efficiency and operating conditions on the behavior of flow regime are analyzed. All numerical results show that the comprehensive numerical model has a considerable potential to simulate non-isothermal free surface flow.