报告题目： A stable and efficient finite element scheme for simulating viscoelastic flows
报 告 人：王晓东 教授
工作单位：西北工业大学
报告时间：2021-12-8(周三) 10：10-12:00
腾讯会议：708-555-356
https://meeting.tencent.com/dm/2mYaoewAUh6A
摘要：
The report presents an efficient stabilized finite element scheme for simulating viscoelastic flows at high Weissenberg numbers. The velocity and pressure variables in the momentum balance equations are uncoupled using an incremental fractional step method based on the second order backward differentiation formula. The pressure gradient projection stabilization technique and the discrete elastic-viscous-split-stress formulation are introduced into the scheme, in explicit versions, to circumvent the LBB constraints. For the constitutive equation, a square root transformation is firstly applied to preserve the positive definiteness of the polymer conformation tensor, and then the streamline upwind/Petrov-Galerkin method and the second order Runge-Kutta scheme are implemented for spatial and time discretizations. Three benchmark problems are tested and numerical results have revealed the accuracy and convergence of the scheme. What is more, since the presented scheme enables the use of equal low-order interpolations for all variables and requires no iterative process, it is fairly efficient.
报告人简介：
王晓东，西北工业大学数学与统计学院教授，从事计算数学和应用数学的教学和科研工作。近年来，主要围绕高性能聚合物制品精密制造中的宏观成形和介观成性两大问题开展数学建模与高性能计算研究。研究方向涉及偏微分方程数值求解的高性能算法、粘弹流动模拟的稳定数值格式、聚合物结晶问题的数学建模、气固两相系统的可计算建模等。先后主持国家自然科学基金面上项目2项、青年项目1项、省部级课题4项，并参与国家重大科研项目3项。注重与企业和科研院所之间的合作，主持完成横向课题7项，促进了数学研究成果走向落地。在Int J Heat Mass Tran, J Chem Phys, Soft Matter, J Sci Comput等期刊上发表论文40余篇。获陕西省优秀博士论文奖、陕西省高等学校科学技术一等奖(第1完成人)、军队科技进步三等奖等。入选陕西省高校科协青年人才托举计划。
