讲座主题：An adaptive discontinuous Galerkin method for simulating viscoelastic two phase flows

专家姓名：王晓东

工作单位：西北工业大学

讲座时间：2024年04月20日16:20-16:50

讲座地点：数学与信息科学学院341

主办单位：烟台大学数学与信息科学学院

内容摘要：

In this talk, we will introduce an adaptive Level Set-square root conformation representation discontinuous Galerkin (LS-SRCR-DG) method for the two-phase flows. The SRCR-DG method based on dual splitting scheme is used to solve the incompressible Navier-Stokes and Oldroyd-B constitutive equations, which ensures the stability of the calculation. A high order discrete scheme is constructed for the Level Set evolution equation to improve the ability of mass conservation. The mesh adaptive technique is introduced to greatly improve the computational efficiency. In addition, the reinitialization method of the Level Set function and a simple mass correction technique are introduced into the coupling method in order to guarantee the mass conservation in calculation. Several numerical examples are shown to demonstrate that the coupled algorithm is accurate and highly effective for simulating the interface evolution problems with complex topological structure changes, and can guarantee the mass conservation property.

主讲人介绍：

王晓东，西北工业大学数学与统计学院教授，主要从事复杂流体相关的建模与计算、不可压缩流体计算的稳定高效有限元/有限体积/间断Galerkin/无网格/格子Boltzmann方法、偏微分方程的非线性模型降阶方法、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研究。主持省部级以上科研项目7项，其中国家自然科学基金面上项目2项。参与“国家重点基础研究发展计划(973计划)”、“国家自然科学基金重大项目”和“国家自然科学基金重大研究计划重点项目”各1项。与企业和科研院所合作，主持完成横向课题10余项。发表学术论文60余篇。获陕西省高等学校科学技术奖一等奖1项、中国人民解放军科学技术进步奖三等奖1项，入选陕西省高校科协青年人才托举计划。