CAREER: Bridging Geometric Design and Aerodynamic Simulation of Turbomachinery: An Integrative Design-Through-Analysis Framework Enabled by Embedded Domain Methods

从计算机辅助几何设计到基于物理的计算机仿真的转换需要几何处理和网格生成程序，这通常构成了创建快速设计分析工作流程的重大障碍。 该项目在教师早期职业发展（CAREER）计划中的目标是通过开发新的计算方法来消除这些障碍，从而实现无缝集成和自动化。 涡轮机械是一项关键的使能能源技术，例如，用于电力生产和航空运输。 该项目中设想的新的分析设计方法旨在从根本上促进基于仿真的可重构设计和优化。 这些可以导致设计程序的重大改进，从而服务于国家利益，促进国家繁荣，并实现非传统的可持续性设计，提高可持续性和能源效率。 该项目的结果也促进了计算科学的进步，特别是通过贡献显着的方法进步，目前的驱动器对非稳态全轮模拟。 该项目包括一个教育部分，将新的夏令营与高中和本科生的研究实习机会相结合。 它为激励K-12和本科生体验提供了机会，激励参与者加入工程高级学位课程，特别强调少数民族和代表性不足的群体。 这将直接加强明尼苏达大学STEM推广的基础设施，并有助于培养和维持训练有素的STEM员工队伍，这对美国相关行业未来的竞争力至关重要。研究方法围绕着将参数几何建模与新的嵌入域有限元方法相结合的想法，用于集成计算空气动力学。 虽然参数化建模技术在商业设计工具中可用，但嵌入式域方法仍然受到严重技术差距的困扰，这阻碍了它们在高保真空气动力学中的应用。 例子包括具有小切口的元件对调节和时间步长的不利影响，切口元件中求积规则的低阶精度，以及不适合新兴异构计算架构的算法。 该研究方法的重点是设计新的技术，有效地缩小这些差距，结合关键的计算空气动力学范例，如不连续Galerkin概念和变分多尺度方法的大涡湍流建模，并使高阶精度超过既定的二阶代码。 上级分析设计功能可用于涡轮机部件的多级非定常空气动力学模拟，包括复杂叶片几何形状、湍流高雷诺数流动和运动流体域。

The transfer from computer-aided geometric design to physics-based computer simulation requires geometry processing and mesh generation procedures, which often constitute significant barriers to creating rapid design-through-analysis workflows. The objective of this project within the Faculty Early Career Development (CAREER) Program is to remove these barriers by developing new computational methodologies that enable seamless integration and automation. Turbomachinery is a key enabling energy technology, e.g., for electricity production and air transport. The new design-through-analysis methodologies envisioned in this project aims to fundamentally facilitate simulation-based turbomachinery design and optimization. These can lead to critical improvements in design procedures that serve the national interest, promote national prosperity, and enable unconventional turbomachinery designs that improve sustainability and energy efficiency. The project results also promote the progress of computational science, in particular by contributing significant methodological advances to the current drive towards unsteady full-wheel simulations. The project includes an education component that combines a new summer camp with research internship opportunities for high school and undergraduate students. It provides opportunities for energizing K-12 and undergraduate experiences that motivate participants to join advanced degree programs in engineering, with particular emphasis on minorities and underrepresented groups. This will directly strengthen the infrastructure for STEM outreach at the University of Minnesota and contribute to developing and maintaining a well-trained STEM workforce, which is important for the future competitiveness of related industries in the United States.The research approach revolves around the idea of combining parametric geometry modeling with new embedded domain finite element methods for integrated computational aerodynamics. While parametric modeling techniques are available in commercial design tools, embedded domain methods remain plagued by serious technology gaps that prevent their application for high-fidelity aerodynamics. Examples include the detrimental impact of elements with small cuts on conditioning and time step size, low-order accuracy of quadrature rules in cut elements, and algorithms that are unsuitable for emerging heterogeneous computing architectures. The research approach focuses on devising new techniques that effectively close these gaps, incorporate key computational aerodynamics paradigms such as the Discontinuous Galerkin concept and the variational multiscale method for large eddy turbulence modeling, and enable high-order accuracy beyond established second-order codes. The superior design-through-analysis capabilities are demonstrated for multistage unsteady aerodynamic simulations of turbine components, involving complex blade geometries, turbulent high-Reynolds-number flows and moving fluid domains.