計算工学 Marek Behr先生によるSpace-Time有限要素法に関するご講演
中央大学客員教授として来日予定のドイツ、アーヘン大学（RWTH Aachen University）のマレック・ベア（Marek Behr）先生に、最新のSpace-Time有限要素に関してご講演いただきます。低解像度のメッシュにおいても質量保存性の高い界面追跡法や、任意の時間メッシュ細分化等に関する話題をご提供いただきます。
- 土木学会 応用力学委員会 関東地区フォーラム
- 10月6日（木） 16:00
題目：Novel Space-Time Finite Element Discretizations
Moving-boundary flow simulations are an important design and analysis tool in many areas, including civil and biomedical engineering, as well as production engineering. Interface-capturing offers flexibility for complex free-surface motion, while interface-tracking is very attractive due to its mass conservation properties at low resolution. We focus on these alternatives in the context of flow simulations based on stabilized finite element discretizations of Navier-Stokes equations, including space-time formulations that allow extra flexibility concerning grid design at the interface.
Space-time approaches offer some not-yet-fully-exploited advantages; among them, the potential to allow unstructured space-time meshing. New methods for generating simplex space-time meshes have been developed, e.g., allowing arbitrary temporal refinement in selected portions of space-time slabs. The resulting tetrahedral and pentatope meshes are being used in the context of cavity filling flow simulations, such as those necessary to design injection molding processes. A related approach allows for robust and accurate handling of topology changes, as often encountered in free-surface flows and in fluid-structure interaction with dynamic contact.
Prof. Marek Behr obtained his Bachelor’s and Ph.D. degrees in Aerospace Engineering and Mechanics from the University of Minnesota in Minneapolis. After faculty appointments at the University of Minnesota and at Rice University in Houston, he was appointed in 2004 as a Professor of Mechanical Engineering and holder of the Chair for Computational Analysis of Technical Systems (CATS) at the RWTH Aachen University. Since 2018, he is the founding director of the Center for Simulation and Data Science of the Jülich-Aachen Research Alliance (JARA-CSD). Behr advises or has advised over 60 doctoral students, and has published over 90 refereed journal articles and a similar number of conference publications and book chapters. He is a member of several advisory and editorial boards of international journals, President of the German Association for Computational Mechanics, and a Fellow and Executive Council member of the International Association for Computational Mechanics.
- Applied Mechanics Frontier