講座主題：An adaptive discontinuous Galerkin method for simulating viscoelastic two phase flows
專家姓名：王曉東
工作單位：西北工業大學
講座時間：2024年04月20日16:20-16:50
講座地點：數學與信息科學學院341
主辦單位：煙臺大學數學與信息科學學院
內容摘要：
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.
主講人介紹：
王曉東，西北工業大學數學與統計學院教授，主要從事復雜流體相關的建模與計算、不可壓縮流體計算的穩定高效有限元/有限體積/間斷Galerkin/無網格/格子Boltzmann方法、偏微分方程的非線性模型降階方法、粘彈流動模擬的穩定數值格式、聚合物結晶問題的數學建模、氣固兩相系統的可計算建模等研究。主持省部級以上科研項目7項，其中國家自然科學基金面上項目2項。參與“國家重點基礎研究發展計劃(973計劃)”、“國家自然科學基金重大項目”和“國家自然科學基金重大研究計劃重點項目”各1項。與企業和科研院所合作，主持完成橫向課題10余項。發表學術論文60余篇。獲陜西省高等學校科學技術獎一等獎1項、中國人民解放軍科學技術進步獎三等獎1項，入選陜西省高校科協青年人才托舉計劃。
