报告题目：Evolution of initial discontinuity for the integrable nonlinear wave equations
报 告 人：蒋涛
工作单位：扬州大学
报告时间：2021-3-31 9:30-11:30；
腾讯会议ID：142 814 575
报告摘要：
In this topic, a Lagrangian finite pointset model (FPM) is first developed to solve the viscoelastic fluid governing equations, and then a corrected particle shifting technique (CPST) is proposed to eliminate the tensile instability in the long time simulations and added in the above FPM scheme (named as the FPMT). Subsequently, a coupled particle method (FPMT-SPH) is presented to simulate the viscoelastic free surface flow in which the FPMT method is used in the interior of fluid domain and the SPH method is adopted to treat the free surface near the boundary. The proposed FPMT method and FPMT-SPH method are motivated by: a) the spatial derivatives of the velocity and the viscoelastic stress are approximated and obtained by the weighted least squares method; b) the pressure is solved accurately by the application of projection method with a local iterative procedure under the least squares; c) a corrected particle shifting technique is added to remedy the tensile instability (FPMT); d) an identification technique of free-surface particles is given in the FPMT-SPH method. All the numerical results show that the proposed particle method for the viscoelastic fluid or free surface flow is robust and reliable.
报告人简介：
蒋涛，扬州大学数学科学学院副教授，研究方向为计算流体力学“复杂流动问题纯无网格方法建模及高效性并行模拟研究”。2012年西北工业应用数学博士毕业，2017年6月在巴西巴拉那联邦大学从事博士后研究1年，2019年3月至8月在美国布朗大学访学半年。近十年来在粘弹流动问题纯无网格粒子方法研究及高维模拟方面发表SCI论文近40余篇，其中第一或通讯作者身份20余篇，10余篇论文发表在JCP、CPC、CM及AMM高水平杂志上；主持或参与完成多项国家和省部级科研项目。近三年里将纯无网格方法(FPM、CSPH)首次推广应用到时间/空间分数阶偏微分问题的数值研究，给出了一种高效准确的耦合纯无网格算法。
