报告题目及简介：

1. The projection method for the nature convection problem

Abstract: In this report, we consider the projection method for the nature convection problem (Boussinesq problem). By using this technique, the considered problem is decoupled into two subproblems, and each subproblem is solved more easily than the original one. Our report consists of 4 parts, they are the first and second order projection scheme, the time discrete and fully discrete viscosity splitting method. The main results include that (1) Establish the stability of numerical solutions in these numerical schemes; (2) Provide the convergence results for the velocity and temperature and pressure. Finally, some numerical results are provided to display the performances of the developed numerical algorithms.

2. Non-isothermal computational model for molecular conformation evolution in mold filling process

Abstract: In this report, a gas-liquid two-phase model for a viscoelastic fluid is used to simulate the melt filling process. And, an improved simple coupled level-set and volume-of-fluid (S-CLSVOF) method is proposed and applied to trace the melt front. Firstly, the shape level-set (LS) function is set up to represent the complex mold cavity with the R-function. Then, the benchmark problems are carried out to verify the ability of S-CLSVOF to capture the moving interface. Finally, it is simulated that the non-isothermal filling process of the viscoelastic fluid based on the FENE-P model in the complex mold cavity, and the behaviors of the molecular conformation evolution, temperature and stress are shown and analyzed in detail.

报告人：

1. 张通博士河南理工大学理学院

2. 李强博士河南理工大学理学院

报告时间：2017年4月23日下午15:00—16:40

报告地点：扬州大学数学科学学院38号楼一楼报告厅

主办单位：扬州大学数学科学学院

欢迎广大师生参加！