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模拟的转变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通过分析工作流程的重大障碍。在教师早期职业发展（Career）计划中，这个项目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，例如电力生产和航空运输。在这个项目中设想的新的通过分析设计的方法旨在从根本上促进基于仿真的涡轮机械设计和优化。这些可以导致设计程序的关键改进，从而服务于国家利益，促进国家繁荣，并使非常规涡轮机械设计能够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，特别是通过对当前非定常全轮模拟的驱动做出重大的方法进步。该项目包括一个教育组成部分，将一个新的夏令营与高中生和本科生的研究实习机会结合起来。它提供了激发K-12和本科经验的机会，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一支训练有素的STEM劳动力队伍，这对美国相关产业的未来竞争力至关重要。研究方法围绕着将参数化几何建模与集成计算空气动力学的新型嵌入式域有限元方法相结合的思想。虽然参数化建模技术在商业设计工具中是可用的，但嵌入式域方法仍然受到严重的技术差距的困扰，阻碍了它们在高保真空气动力学中的应用。例子包括具有小切割的元素对条件和时间步长的有害影响，切割元素中正交规则的低阶精度，以及不适合新兴异构计算体系结构的算法。研究方法侧重于设计新技术，有效地缩小这些差距，结合关键的计算空气动力学范式，如不连续伽辽金概念和大涡流湍流建模的变分多尺度方法，并使高阶精度超越已建立的二阶代码。在涡轮部件的多级非定常气动模拟中，展示了卓越的设计贯穿分析能力，包括复杂的叶片几何形状，湍流高雷诺数流动和移动流体域。

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.