Least-squares fluid-structure-interaction for incompressible flows

不可压缩流的最小二乘流固耦合

• 批准号: 342697063
• 负责人: Professor Dr.-Ing. Jörg Schröder
• 金额: --
• 依托单位: Institut für Mechanik
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2017
• 资助国家: 德国
• 起止时间: 2016-12-31 至 2022-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/342697063?language=en
• 关键词: Least; squares; fluid; structure; interaction

In the course of the proposed project, the promising fluid-structure interaction approaches of the first funding period will be further developed to provide reliable and efficient simulation tools for complex and realistic processes. An essential first step for the calculation of realistic problems is the extension of the investigated stress-velocity (SV) formulations to three dimensions. This includes the construction of H(div)-conforming vector-valued interpolation functions of higher order in 3D. In a next step, algorithms for an adaptive mesh generation for time dependent problems are designed. Thus an efficiency increase can be achieved by local mesh refinement as well as coarsening. A challenging task will be the extension of the fluid formulation to turbulent flows, which is still wide open to exploration in the field of least-squares FEM. This includes the implementation and validation of different turbulence models, such as the Spalart-Allmaras and k-epsilon model. The portfolio is completed by a SV-formulation for non-Newtonian fluids combined with the assimilation of experimental data in order to increase accuracy and robustness of highly nonlinear problems. Finally, the developed approaches will be compared regarding their efficiency to well-established methods based on complex FSI-simulations.

在拟议项目的过程中，第一期资助期间有前景的流固耦合方法将得到进一步发展，为复杂和现实的过程提供可靠和高效的模拟工具。计算实际问题的重要第一步是将所研究的应力-速度 (SV) 公式扩展到三个维度。这包括构建符合 H(div) 的 3D 高阶向量值插值函数。下一步，设计用于时间相关问题的自适应网格生成的算法。因此，可以通过局部网格细化和粗化来提高效率。一项具有挑战性的任务是将流体公式扩展到湍流，这在最小二乘有限元领域仍然有广阔的探索空间。这包括不同湍流模型的实现和验证，例如 Spalart-Allmaras 和 k-epsilon 模型。该产品组合由非牛顿流体的 SV 公式与实验数据的同化相结合来完成，以提高高度非线性问题的准确性和鲁棒性。最后，将比较所开发的方法与基于复杂 FSI 模拟的成熟方法的效率。