A new numerical method for the study of liquid-vapor transition
South China University of Technology
2018-03-26 ~ 2018-03-26
Room.1493, Science Building No. 1
The hydrodynamical fluctuation included diffuse interface model is an effective model to describe noise induced phase transition in liquid-vapor isothermal system. This system is obviously non-gradient by using macroscopic density and velocity as the system coordinates, and the phase transition between metastable states of the system could be studied via Minimum Action Method.
By introducing smoothed particle hydrodynamics, the iginal macroscopic equations could be interpolated with those smoothed particles, and the Minimum Energy Path in the N smoothed particle Langevin system is theoretically obtained. A new numerical method for searching of Minimum Action Path in the interpolated system is proposed, which is efficient as the String Method and robust as the Minimum Action Method. Two typical numerical examples on liquid-vapor transition are subsequently studied to verify the feasibility of the new numerical method, one of which is a isolate system without external force exerted, while the other is in a external force field which is generated by a delicately designed potential to introduce shear flow in the system.