Numerical Simulation of Aircraft Aerodynamics with Error Quantification

计算流体动力学（CFD）是工程师用来理解并最终控制人造物体周围空气流动的重要工具，应用范围广泛，包括航空旅行、地面运输、建筑设计和绿色能源。在设计过程的早期更好地了解这种气流可以显著提高最终产品的质量，同时减少开发所需的时间和费用。******我的研究小组专注于开发用于完整飞机流动模拟的CFD新技术，包括评估计算解决方案中的误差的方法。我们已经展示了计算二维空气动力学问题高精度解的能力。我们还拥有使用非结构化网格有效处理复杂几何形状的专业知识，包括从计算机辅助设计软件产生的数据创建此类网格。最近，我们已经开始研究误差估计技术，包括在误差减少中的应用，以及网格特性对误差的影响。******我的中期研究目标是将我们在这些相关领域的工作结合起来，以便我们能够始终如一地为外部空气动力学的分析和设计提供可靠的模拟结果。这里的关键技术挑战不仅在于获得特定物理问题的数值解，而且在于尽可能减少在此过程中对人类用户进行干预和迭代的需要，同时能够减少并提供工程感兴趣的输出量误差的定量界限，例如力和热通量。******综合起来，这些功能将对CFD模拟的可靠性和稳健性产生重大影响，从而将其应用于更广泛的工业分析和设计应用**

Computational fluid dynamics (CFD) is an important tool used by engineers to understand and ultimately control air flow around man-made objects in industries as broad ranging as air travel, ground transportation, building design, and green energy. Better understanding of such air flows early in the design process can significantly improve the quality of the final product and while reducing the time and expense required to develop it.******My research group focuses on developing new techniques for CFD for flow simulation for complete aircraft, including ways to assess the error in the computed solution. We have demonstrated the ability to compute highly accurate solutions very efficiently for two-dimensional aerodynamic problems. We also have expertise in using unstructured meshes to deal effectively with complex geometries, including creating such meshes from data produced by computer-aided design software. Recently, we have begun work on techniques for error estimation, including applications in error reduction, and the impact of mesh characteristics on error.******My medium term research goal for my group is to bring together our work in these related areas so that we can consistently produce reliable simulation results for analysis and design in external aerodynamics. The key technical challenge here is not just in obtaining a numerical solution to a particular physical problem, but in reducing as much as possible the need for a human user to intervene and iterate during this process, while at the same time being able to reduce and to provide quantitative bounds on the error in output quantities of engineering interest, including for example forces and heat fluxes.******Taken together, these capabilities will have a significant impact on the reliability and robustness of CFD simulations, which in turn will open their use to a wider range of industrial analysis and design applications.**